---
_id: '9644'
abstract:
- lang: eng
  text: 'We present a new approach to proving non-termination of non-deterministic
    integer programs. Our technique is rather simple but efficient. It relies on a
    purely syntactic reversal of the program''s transition system followed by a constraint-based
    invariant synthesis with constraints coming from both the original and the reversed
    transition system. The latter task is performed by a simple call to an off-the-shelf
    SMT-solver, which allows us to leverage the latest advances in SMT-solving. Moreover,
    our method offers a combination of features not present (as a whole) in previous
    approaches: it handles programs with non-determinism, provides relative completeness
    guarantees and supports programs with polynomial arithmetic. The experiments performed
    with our prototype tool RevTerm show that our approach, despite its simplicity
    and stronger theoretical guarantees, is at least on par with the state-of-the-art
    tools, often achieving a non-trivial improvement under a proper configuration
    of its parameters.'
acknowledgement: We thank the anonymous reviewers for their helpful comments. This
  research was partially supported by the ERCCoG 863818 (ForM-SMArt) and the Czech
  Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ehsan Kafshdar
  full_name: Goharshady, Ehsan Kafshdar
  last_name: Goharshady
- first_name: Petr
  full_name: Novotný, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotný
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. Proving non-termination
    by program reversal. In: <i>Proceedings of the 42nd ACM SIGPLAN International
    Conference on Programming Language Design and Implementation</i>. Association
    for Computing Machinery; 2021:1033-1048. doi:<a href="https://doi.org/10.1145/3453483.3454093">10.1145/3453483.3454093</a>'
  apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., &#38; Zikelic, D. (2021).
    Proving non-termination by program reversal. In <i>Proceedings of the 42nd ACM
    SIGPLAN International Conference on Programming Language Design and Implementation</i>
    (pp. 1033–1048). Online: Association for Computing Machinery. <a href="https://doi.org/10.1145/3453483.3454093">https://doi.org/10.1145/3453483.3454093</a>'
  chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde
    Zikelic. “Proving Non-Termination by Program Reversal.” In <i>Proceedings of the
    42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation</i>,
    1033–48. Association for Computing Machinery, 2021. <a href="https://doi.org/10.1145/3453483.3454093">https://doi.org/10.1145/3453483.3454093</a>.
  ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “Proving non-termination
    by program reversal,” in <i>Proceedings of the 42nd ACM SIGPLAN International
    Conference on Programming Language Design and Implementation</i>, Online, 2021,
    pp. 1033–1048.
  ista: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. Proving non-termination
    by program reversal. Proceedings of the 42nd ACM SIGPLAN International Conference
    on Programming Language Design and Implementation. PLDI: Programming Language
    Design and Implementation, 1033–1048.'
  mla: Chatterjee, Krishnendu, et al. “Proving Non-Termination by Program Reversal.”
    <i>Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
    Language Design and Implementation</i>, Association for Computing Machinery, 2021,
    pp. 1033–48, doi:<a href="https://doi.org/10.1145/3453483.3454093">10.1145/3453483.3454093</a>.
  short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, in:, Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation, Association for Computing Machinery, 2021, pp. 1033–1048.
conference:
  end_date: 2021-06-26
  location: Online
  name: 'PLDI: Programming Language Design and Implementation'
  start_date: 2021-06-20
date_created: 2021-07-11T22:01:17Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-07-14T09:10:06Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454093
ec_funded: 1
external_id:
  arxiv:
  - '2104.01189'
  isi:
  - '000723661700067'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.01189
month: '06'
oa: 1
oa_version: Preprint
page: 1033-1048
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
  Language Design and Implementation
publication_identifier:
  isbn:
  - '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
  record:
  - id: '14539'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Proving non-termination by program reversal
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '9645'
abstract:
- lang: eng
  text: "We consider the fundamental problem of reachability analysis over imperative
    programs with real variables. Previous works that tackle reachability are either
    unable to handle programs consisting of general loops (e.g. symbolic execution),
    or lack completeness guarantees (e.g. abstract interpretation), or are not automated
    (e.g. incorrectness logic). In contrast, we propose a novel approach for reachability
    analysis that can handle general and complex loops, is complete, and can be entirely
    automated for a wide family of programs. Through the notion of Inductive Reachability
    Witnesses (IRWs), our approach extends ideas from both invariant generation and
    termination to reachability analysis.\r\n\r\nWe first show that our IRW-based
    approach is sound and complete for reachability analysis of imperative programs.
    Then, we focus on linear and polynomial programs and develop automated methods
    for synthesizing linear and polynomial IRWs. In the linear case, we follow the
    well-known approaches using Farkas' Lemma. Our main contribution is in the polynomial
    case, where we present a push-button semi-complete algorithm. We achieve this
    using a novel combination of classical theorems in real algebraic geometry, such
    as Putinar's Positivstellensatz and Hilbert's Strong Nullstellensatz. Finally,
    our experimental results show we can prove complex reachability objectives over
    various benchmarks that were beyond the reach of previous methods."
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
  the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the
  Huawei Innovation Research Program, the Facebook PhD Fellowship Program, and DOC
  Fellowship No. 24956 of the Austrian Academy of Sciences (ÖAW).
article_processing_charge: No
author:
- first_name: Ali
  full_name: Asadi, Ali
  last_name: Asadi
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Hongfei
  full_name: Fu, Hongfei
  id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
  last_name: Fu
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Mohammad
  full_name: Mahdavi, Mohammad
  last_name: Mahdavi
citation:
  ama: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. Polynomial reachability
    witnesses via Stellensätze. In: <i>Proceedings of the 42nd ACM SIGPLAN International
    Conference on Programming Language Design and Implementation</i>. Association
    for Computing Machinery; 2021:772-787. doi:<a href="https://doi.org/10.1145/3453483.3454076">10.1145/3453483.3454076</a>'
  apa: 'Asadi, A., Chatterjee, K., Fu, H., Goharshady, A. K., &#38; Mahdavi, M. (2021).
    Polynomial reachability witnesses via Stellensätze. In <i>Proceedings of the 42nd
    ACM SIGPLAN International Conference on Programming Language Design and Implementation</i>
    (pp. 772–787). Online: Association for Computing Machinery. <a href="https://doi.org/10.1145/3453483.3454076">https://doi.org/10.1145/3453483.3454076</a>'
  chicago: Asadi, Ali, Krishnendu Chatterjee, Hongfei Fu, Amir Kafshdar Goharshady,
    and Mohammad Mahdavi. “Polynomial Reachability Witnesses via Stellensätze.” In
    <i>Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
    Language Design and Implementation</i>, 772–87. Association for Computing Machinery,
    2021. <a href="https://doi.org/10.1145/3453483.3454076">https://doi.org/10.1145/3453483.3454076</a>.
  ieee: A. Asadi, K. Chatterjee, H. Fu, A. K. Goharshady, and M. Mahdavi, “Polynomial
    reachability witnesses via Stellensätze,” in <i>Proceedings of the 42nd ACM SIGPLAN
    International Conference on Programming Language Design and Implementation</i>,
    Online, 2021, pp. 772–787.
  ista: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. 2021. Polynomial reachability
    witnesses via Stellensätze. Proceedings of the 42nd ACM SIGPLAN International
    Conference on Programming Language Design and Implementation.  PLDI: Programming
    Language Design and Implementation, 772–787.'
  mla: Asadi, Ali, et al. “Polynomial Reachability Witnesses via Stellensätze.” <i>Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation</i>, Association for Computing Machinery, 2021, pp. 772–87,
    doi:<a href="https://doi.org/10.1145/3453483.3454076">10.1145/3453483.3454076</a>.
  short: A. Asadi, K. Chatterjee, H. Fu, A.K. Goharshady, M. Mahdavi, in:, Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation, Association for Computing Machinery, 2021, pp. 772–787.
conference:
  end_date: 2021-06-26
  location: Online
  name: ' PLDI: Programming Language Design and Implementation'
  start_date: 2021-06-20
date_created: 2021-07-11T22:01:17Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-07-14T09:10:06Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454076
ec_funded: 1
external_id:
  isi:
  - '000723661700050'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.archives-ouvertes.fr/hal-03183862/
month: '06'
oa: 1
oa_version: Submitted Version
page: 772-787
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
  name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
  Language Design and Implementation
publication_identifier:
  isbn:
  - '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Polynomial reachability witnesses via Stellensätze
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '9646'
abstract:
- lang: eng
  text: We consider the fundamental problem of deriving quantitative bounds on the
    probability that a given assertion is violated in a probabilistic program. We
    provide automated algorithms that obtain both lower and upper bounds on the assertion
    violation probability. The main novelty of our approach is that we prove new and
    dedicated fixed-point theorems which serve as the theoretical basis of our algorithms
    and enable us to reason about assertion violation bounds in terms of pre and post
    fixed-point functions. To synthesize such fixed-points, we devise algorithms that
    utilize a wide range of mathematical tools, including repulsing ranking supermartingales,
    Hoeffding's lemma, Minkowski decompositions, Jensen's inequality, and convex optimization.
    On the theoretical side, we provide (i) the first automated algorithm for lower-bounds
    on assertion violation probabilities, (ii) the first complete algorithm for upper-bounds
    of exponential form in affine programs, and (iii) provably and significantly tighter
    upper-bounds than the previous approaches. On the practical side, we show our
    algorithms can handle a wide variety of programs from the literature and synthesize
    bounds that are remarkably tighter than previous results, in some cases by thousands
    of orders of magnitude.
acknowledgement: 'We are very thankful to the anonymous reviewers for the helpful
  and valuable comments. The work was partially supported by the National Natural
  Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research
  Program, the ERC CoG 863818 (ForM-SMArt), the Facebook PhD Fellowship Program and
  DOC Fellowship #24956 of the Austrian Academy of Sciences (ÖAW).'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jinyi
  full_name: Wang, Jinyi
  last_name: Wang
- first_name: Yican
  full_name: Sun, Yican
  last_name: Sun
- first_name: Hongfei
  full_name: Fu, Hongfei
  id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
  last_name: Fu
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
citation:
  ama: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. Quantitative analysis of
    assertion violations in probabilistic programs. In: <i>Proceedings of the 42nd
    ACM SIGPLAN International Conference on Programming Language Design and Implementation</i>.
    Association for Computing Machinery; 2021:1171-1186. doi:<a href="https://doi.org/10.1145/3453483.3454102">10.1145/3453483.3454102</a>'
  apa: 'Wang, J., Sun, Y., Fu, H., Chatterjee, K., &#38; Goharshady, A. K. (2021).
    Quantitative analysis of assertion violations in probabilistic programs. In <i>Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation</i> (pp. 1171–1186). Online: Association for Computing Machinery.
    <a href="https://doi.org/10.1145/3453483.3454102">https://doi.org/10.1145/3453483.3454102</a>'
  chicago: Wang, Jinyi, Yican Sun, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar
    Goharshady. “Quantitative Analysis of Assertion Violations in Probabilistic Programs.”
    In <i>Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
    Language Design and Implementation</i>, 1171–86. Association for Computing Machinery,
    2021. <a href="https://doi.org/10.1145/3453483.3454102">https://doi.org/10.1145/3453483.3454102</a>.
  ieee: J. Wang, Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Quantitative
    analysis of assertion violations in probabilistic programs,” in <i>Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation</i>, Online, 2021, pp. 1171–1186.
  ista: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. 2021. Quantitative analysis
    of assertion violations in probabilistic programs. Proceedings of the 42nd ACM
    SIGPLAN International Conference on Programming Language Design and Implementation.
    PLDI: Programming Language Design and Implementation, 1171–1186.'
  mla: Wang, Jinyi, et al. “Quantitative Analysis of Assertion Violations in Probabilistic
    Programs.” <i>Proceedings of the 42nd ACM SIGPLAN International Conference on
    Programming Language Design and Implementation</i>, Association for Computing
    Machinery, 2021, pp. 1171–86, doi:<a href="https://doi.org/10.1145/3453483.3454102">10.1145/3453483.3454102</a>.
  short: J. Wang, Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings
    of the 42nd ACM SIGPLAN International Conference on Programming Language Design
    and Implementation, Association for Computing Machinery, 2021, pp. 1171–1186.
conference:
  end_date: 2021-06-26
  location: Online
  name: 'PLDI: Programming Language Design and Implementation'
  start_date: 2021-06-20
date_created: 2021-07-11T22:01:18Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-07-14T09:10:06Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454102
ec_funded: 1
external_id:
  arxiv:
  - '2011.14617'
  isi:
  - '000723661700076'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2011.14617
month: '06'
oa: 1
oa_version: Preprint
page: 1171-1186
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
  name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
  Language Design and Implementation
publication_identifier:
  isbn:
  - '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative analysis of assertion violations in probabilistic programs
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '9647'
abstract:
- lang: eng
  text: 'Gene expression is regulated by the set of transcription factors (TFs) that
    bind to the promoter. The ensuing regulating function is often represented as
    a combinational logic circuit, where output (gene expression) is determined by
    current input values (promoter bound TFs) only. However, the simultaneous arrival
    of TFs is a strong assumption, since transcription and translation of genes introduce
    intrinsic time delays and there is no global synchronisation among the arrival
    times of different molecular species at their targets. We present an experimentally
    implementable genetic circuit with two inputs and one output, which in the presence
    of small delays in input arrival, exhibits qualitatively distinct population-level
    phenotypes, over timescales that are longer than typical cell doubling times.
    From a dynamical systems point of view, these phenotypes represent long-lived
    transients: although they converge to the same value eventually, they do so after
    a very long time span. The key feature of this toy model genetic circuit is that,
    despite having only two inputs and one output, it is regulated by twenty-three
    distinct DNA-TF configurations, two of which are more stable than others (DNA
    looped states), one promoting and another blocking the expression of the output
    gene. Small delays in input arrival time result in a majority of cells in the
    population quickly reaching the stable state associated with the first input,
    while exiting of this stable state occurs at a slow timescale. In order to mechanistically
    model the behaviour of this genetic circuit, we used a rule-based modelling language,
    and implemented a grid-search to find parameter combinations giving rise to long-lived
    transients. Our analysis shows that in the absence of feedback, there exist path-dependent
    gene regulatory mechanisms based on the long timescale of transients. The behaviour
    of this toy model circuit suggests that gene regulatory networks can exploit event
    timing to create phenotypes, and it opens the possibility that they could use
    event timing to memorise events, without regulatory feedback. The model reveals
    the importance of (i) mechanistically modelling the transitions between the different
    DNA-TF states, and (ii) employing transient analysis thereof.'
acknowledgement: 'Tatjana Petrov’s research was supported in part by SNSF Advanced
  Postdoctoral Mobility Fellowship grant number P300P2 161067, the Ministry of Science,
  Research and the Arts of the state of Baden-Wurttemberg, and the DFG Centre of Excellence
  2117 ‘Centre for the Advanced Study of Collective Behaviour’ (ID: 422037984). Claudia
  Igler is the recipient of a DOC Fellowship of the Austrian Academy of Sciences.
  Thomas A. Henzinger’s research was supported in part by the Austrian Science Fund
  (FWF) under grant Z211-N23 (Wittgenstein Award).'
article_processing_charge: No
article_type: original
author:
- first_name: Tatjana
  full_name: Petrov, Tatjana
  last_name: Petrov
- first_name: Claudia
  full_name: Igler, Claudia
  id: 46613666-F248-11E8-B48F-1D18A9856A87
  last_name: Igler
- first_name: Ali
  full_name: Sezgin, Ali
  id: 4C7638DA-F248-11E8-B48F-1D18A9856A87
  last_name: Sezgin
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Calin C
  full_name: Guet, Calin C
  id: 47F8433E-F248-11E8-B48F-1D18A9856A87
  last_name: Guet
  orcid: 0000-0001-6220-2052
citation:
  ama: Petrov T, Igler C, Sezgin A, Henzinger TA, Guet CC. Long lived transients in
    gene regulation. <i>Theoretical Computer Science</i>. 2021;893:1-16. doi:<a href="https://doi.org/10.1016/j.tcs.2021.05.023">10.1016/j.tcs.2021.05.023</a>
  apa: Petrov, T., Igler, C., Sezgin, A., Henzinger, T. A., &#38; Guet, C. C. (2021).
    Long lived transients in gene regulation. <i>Theoretical Computer Science</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.tcs.2021.05.023">https://doi.org/10.1016/j.tcs.2021.05.023</a>
  chicago: Petrov, Tatjana, Claudia Igler, Ali Sezgin, Thomas A Henzinger, and Calin
    C Guet. “Long Lived Transients in Gene Regulation.” <i>Theoretical Computer Science</i>.
    Elsevier, 2021. <a href="https://doi.org/10.1016/j.tcs.2021.05.023">https://doi.org/10.1016/j.tcs.2021.05.023</a>.
  ieee: T. Petrov, C. Igler, A. Sezgin, T. A. Henzinger, and C. C. Guet, “Long lived
    transients in gene regulation,” <i>Theoretical Computer Science</i>, vol. 893.
    Elsevier, pp. 1–16, 2021.
  ista: Petrov T, Igler C, Sezgin A, Henzinger TA, Guet CC. 2021. Long lived transients
    in gene regulation. Theoretical Computer Science. 893, 1–16.
  mla: Petrov, Tatjana, et al. “Long Lived Transients in Gene Regulation.” <i>Theoretical
    Computer Science</i>, vol. 893, Elsevier, 2021, pp. 1–16, doi:<a href="https://doi.org/10.1016/j.tcs.2021.05.023">10.1016/j.tcs.2021.05.023</a>.
  short: T. Petrov, C. Igler, A. Sezgin, T.A. Henzinger, C.C. Guet, Theoretical Computer
    Science 893 (2021) 1–16.
date_created: 2021-07-11T22:01:18Z
date_published: 2021-06-04T00:00:00Z
date_updated: 2023-08-10T14:11:19Z
day: '04'
ddc:
- '004'
department:
- _id: ToHe
- _id: CaGu
doi: 10.1016/j.tcs.2021.05.023
external_id:
  isi:
  - '000710180500002'
file:
- access_level: open_access
  checksum: d3aef34cfb13e53bba4cf44d01680793
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-12T12:13:27Z
  date_updated: 2022-05-12T12:13:27Z
  file_id: '11364'
  file_name: 2021_TheoreticalComputerScience_Petrov.pdf
  file_size: 2566504
  relation: main_file
  success: 1
file_date_updated: 2022-05-12T12:13:27Z
has_accepted_license: '1'
intvolume: '       893'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1-16
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Long lived transients in gene regulation
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 893
year: '2021'
...
---
_id: '9656'
abstract:
- lang: eng
  text: Tropisms, growth responses to environmental stimuli such as light or gravity,
    are spectacular examples of adaptive plant development. The plant hormone auxin
    serves as a major coordinative signal. The PIN auxin exporters, through their
    dynamic polar subcellular localizations, redirect auxin fluxes in response to
    environmental stimuli and the resulting auxin gradients across organs underly
    differential cell elongation and bending. In this review, we discuss recent advances
    concerning regulations of PIN polarity during tropisms, focusing on PIN phosphorylation
    and trafficking. We also cover how environmental cues regulate PIN actions during
    tropisms, and a crucial role of auxin feedback on PIN polarity during bending
    termination. Finally, the interactions between different tropisms are reviewed
    to understand plant adaptive growth in the natural environment.
acknowledgement: We are grateful to Lukas Fiedler, Alexandra Mally (IST Austria) and
  Dr. Bartel Vanholme (VIB, Ghent) for their critical comments on the manuscript.
  We apologize to those researchers whose great work was not cited. This work is supported
  by the European Research Council under the European Union’s Horizon 2020 research
  and innovation Programme (ERC grant agreement number 742985), and the Austrian Science
  Fund (FWF, grant number I 3630-B25) to JF. HH is supported by the China Scholarship
  Council (CSC scholarship, 201506870018) and a starting grant from Jiangxi Agriculture
  University (9232308314).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Huibin
  full_name: Han, Huibin
  id: 31435098-F248-11E8-B48F-1D18A9856A87
  last_name: Han
- first_name: Maciek
  full_name: Adamowski, Maciek
  id: 45F536D2-F248-11E8-B48F-1D18A9856A87
  last_name: Adamowski
  orcid: 0000-0001-6463-5257
- first_name: Linlin
  full_name: Qi, Linlin
  id: 44B04502-A9ED-11E9-B6FC-583AE6697425
  last_name: Qi
  orcid: 0000-0001-5187-8401
- first_name: SS
  full_name: Alotaibi, SS
  last_name: Alotaibi
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Han H, Adamowski M, Qi L, Alotaibi S, Friml J. PIN-mediated polar auxin transport
    regulations in plant tropic responses. <i>New Phytologist</i>. 2021;232(2):510-522.
    doi:<a href="https://doi.org/10.1111/nph.17617">10.1111/nph.17617</a>
  apa: Han, H., Adamowski, M., Qi, L., Alotaibi, S., &#38; Friml, J. (2021). PIN-mediated
    polar auxin transport regulations in plant tropic responses. <i>New Phytologist</i>.
    Wiley. <a href="https://doi.org/10.1111/nph.17617">https://doi.org/10.1111/nph.17617</a>
  chicago: Han, Huibin, Maciek Adamowski, Linlin Qi, SS Alotaibi, and Jiří Friml.
    “PIN-Mediated Polar Auxin Transport Regulations in Plant Tropic Responses.” <i>New
    Phytologist</i>. Wiley, 2021. <a href="https://doi.org/10.1111/nph.17617">https://doi.org/10.1111/nph.17617</a>.
  ieee: H. Han, M. Adamowski, L. Qi, S. Alotaibi, and J. Friml, “PIN-mediated polar
    auxin transport regulations in plant tropic responses,” <i>New Phytologist</i>,
    vol. 232, no. 2. Wiley, pp. 510–522, 2021.
  ista: Han H, Adamowski M, Qi L, Alotaibi S, Friml J. 2021. PIN-mediated polar auxin
    transport regulations in plant tropic responses. New Phytologist. 232(2), 510–522.
  mla: Han, Huibin, et al. “PIN-Mediated Polar Auxin Transport Regulations in Plant
    Tropic Responses.” <i>New Phytologist</i>, vol. 232, no. 2, Wiley, 2021, pp. 510–22,
    doi:<a href="https://doi.org/10.1111/nph.17617">10.1111/nph.17617</a>.
  short: H. Han, M. Adamowski, L. Qi, S. Alotaibi, J. Friml, New Phytologist 232 (2021)
    510–522.
date_created: 2021-07-14T15:29:14Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2023-08-10T14:02:41Z
day: '01'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1111/nph.17617
ec_funded: 1
external_id:
  isi:
  - '000680587100001'
  pmid:
  - '34254313'
file:
- access_level: open_access
  checksum: 6422a6eb329b52d96279daaee0fcf189
  content_type: application/pdf
  creator: kschuh
  date_created: 2021-10-07T13:42:47Z
  date_updated: 2021-10-07T13:42:47Z
  file_id: '10105'
  file_name: 2021_NewPhytologist_Han.pdf
  file_size: 1939800
  relation: main_file
  success: 1
file_date_updated: 2021-10-07T13:42:47Z
has_accepted_license: '1'
intvolume: '       232'
isi: 1
issue: '2'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 510-522
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '742985'
  name: Tracing Evolution of Auxin Transport and Polarity in Plants
- _id: 26538374-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: I03630
  name: Molecular mechanisms of endocytic cargo recognition in plants
publication: New Phytologist
publication_identifier:
  eissn:
  - 1469-8137
  issn:
  - 0028-646x
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: PIN-mediated polar auxin transport regulations in plant tropic responses
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 232
year: '2021'
...
---
_id: '9657'
abstract:
- lang: eng
  text: To overcome nitrogen deficiency, legume roots establish symbiotic interactions
    with nitrogen-fixing rhizobia that is fostered in specialized organs (nodules).
    Similar to other organs, nodule formation is determined by a local maximum of
    the phytohormone auxin at the primordium site. However, how auxin regulates nodule
    development remains poorly understood. Here, we found that in soybean, (Glycine
    max), dynamic auxin transport driven by PIN-FORMED (PIN) transporter GmPIN1 is
    involved in nodule primordium formation. GmPIN1 was specifically expressed in
    nodule primordium cells and GmPIN1 was polarly localized in these cells. Two nodulation
    regulators, (iso)flavonoids trigger expanded distribution of GmPIN1b to root cortical
    cells, and cytokinin rearranges GmPIN1b polarity. Gmpin1abc triple mutants generated
    with CRISPR-Cas9 showed impaired establishment of auxin maxima in nodule meristems
    and aberrant divisions in the nodule primordium cells. Moreover, overexpression
    of GmPIN1 suppressed nodule primordium initiation. GmPIN9d, an ortholog of Arabidopsis
    thaliana PIN2, acts together with GmPIN1 later in nodule development to acropetally
    transport auxin in vascular bundles, fine-tuning the auxin supply for nodule enlargement.
    Our findings reveal how PIN-dependent auxin transport modulates different aspects
    of soybean nodule development and suggest that establishment of auxin gradient
    is a prerequisite for the proper interaction between legumes and rhizobia.
article_processing_charge: No
article_type: original
author:
- first_name: Z
  full_name: Gao, Z
  last_name: Gao
- first_name: Z
  full_name: Chen, Z
  last_name: Chen
- first_name: Y
  full_name: Cui, Y
  last_name: Cui
- first_name: M
  full_name: Ke, M
  last_name: Ke
- first_name: H
  full_name: Xu, H
  last_name: Xu
- first_name: Q
  full_name: Xu, Q
  last_name: Xu
- first_name: J
  full_name: Chen, J
  last_name: Chen
- first_name: Y
  full_name: Li, Y
  last_name: Li
- first_name: L
  full_name: Huang, L
  last_name: Huang
- first_name: H
  full_name: Zhao, H
  last_name: Zhao
- first_name: D
  full_name: Huang, D
  last_name: Huang
- first_name: S
  full_name: Mai, S
  last_name: Mai
- first_name: T
  full_name: Xu, T
  last_name: Xu
- first_name: X
  full_name: Liu, X
  last_name: Liu
- first_name: S
  full_name: Li, S
  last_name: Li
- first_name: Y
  full_name: Guan, Y
  last_name: Guan
- first_name: W
  full_name: Yang, W
  last_name: Yang
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: J
  full_name: Petrášek, J
  last_name: Petrášek
- first_name: J
  full_name: Zhang, J
  last_name: Zhang
- first_name: X
  full_name: Chen, X
  last_name: Chen
citation:
  ama: Gao Z, Chen Z, Cui Y, et al. GmPIN-dependent polar auxin transport is involved
    in soybean nodule development. <i>Plant Cell</i>. 2021;33(9):2981–3003. doi:<a
    href="https://doi.org/10.1093/plcell/koab183">10.1093/plcell/koab183</a>
  apa: Gao, Z., Chen, Z., Cui, Y., Ke, M., Xu, H., Xu, Q., … Chen, X. (2021). GmPIN-dependent
    polar auxin transport is involved in soybean nodule development. <i>Plant Cell</i>.
    American Society of Plant Biologists. <a href="https://doi.org/10.1093/plcell/koab183">https://doi.org/10.1093/plcell/koab183</a>
  chicago: Gao, Z, Z Chen, Y Cui, M Ke, H Xu, Q Xu, J Chen, et al. “GmPIN-Dependent
    Polar Auxin Transport Is Involved in Soybean Nodule Development.” <i>Plant Cell</i>.
    American Society of Plant Biologists, 2021. <a href="https://doi.org/10.1093/plcell/koab183">https://doi.org/10.1093/plcell/koab183</a>.
  ieee: Z. Gao <i>et al.</i>, “GmPIN-dependent polar auxin transport is involved in
    soybean nodule development,” <i>Plant Cell</i>, vol. 33, no. 9. American Society
    of Plant Biologists, pp. 2981–3003, 2021.
  ista: Gao Z, Chen Z, Cui Y, Ke M, Xu H, Xu Q, Chen J, Li Y, Huang L, Zhao H, Huang
    D, Mai S, Xu T, Liu X, Li S, Guan Y, Yang W, Friml J, Petrášek J, Zhang J, Chen
    X. 2021. GmPIN-dependent polar auxin transport is involved in soybean nodule development.
    Plant Cell. 33(9), 2981–3003.
  mla: Gao, Z., et al. “GmPIN-Dependent Polar Auxin Transport Is Involved in Soybean
    Nodule Development.” <i>Plant Cell</i>, vol. 33, no. 9, American Society of Plant
    Biologists, 2021, pp. 2981–3003, doi:<a href="https://doi.org/10.1093/plcell/koab183">10.1093/plcell/koab183</a>.
  short: Z. Gao, Z. Chen, Y. Cui, M. Ke, H. Xu, Q. Xu, J. Chen, Y. Li, L. Huang, H.
    Zhao, D. Huang, S. Mai, T. Xu, X. Liu, S. Li, Y. Guan, W. Yang, J. Friml, J. Petrášek,
    J. Zhang, X. Chen, Plant Cell 33 (2021) 2981–3003.
date_created: 2021-07-14T15:32:43Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2023-08-10T14:01:41Z
day: '07'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1093/plcell/koab183
external_id:
  isi:
  - '000702165300012'
  pmid:
  - '34240197'
file:
- access_level: open_access
  checksum: 6715712ec306c321f0204c817b7f8ae7
  content_type: application/pdf
  creator: cziletti
  date_created: 2021-07-19T12:13:34Z
  date_updated: 2021-07-19T12:13:34Z
  file_id: '9691'
  file_name: 2021_PlantCell_Gao.pdf
  file_size: 10566921
  relation: main_file
  success: 1
file_date_updated: 2021-07-19T12:13:34Z
has_accepted_license: '1'
intvolume: '        33'
isi: 1
issue: '9'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 2981–3003
pmid: 1
publication: Plant Cell
publication_identifier:
  eissn:
  - 1532-298x
  issn:
  - 1040-4651
publication_status: published
publisher: American Society of Plant Biologists
quality_controlled: '1'
status: public
title: GmPIN-dependent polar auxin transport is involved in soybean nodule development
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 33
year: '2021'
...
---
_id: '9678'
abstract:
- lang: eng
  text: We introduce a new graph problem, the token dropping game, and we show how
    to solve it efficiently in a distributed setting. We use the token dropping game
    as a tool to design an efficient distributed algorithm for stable orientations
    and more generally for locally optimal semi-matchings. The prior work by Czygrinow
    et al. (DISC 2012) finds a stable orientation in O(Δ^5) rounds in graphs of maximum
    degree Δ, while we improve it to O(Δ^4) and also prove a lower bound of Ω(Δ).
    For the more general problem of locally optimal semi-matchings, the prior upper
    bound is O(S^5) and our new algorithm runs in O(C · S^4) rounds, which is an improvement
    for C = o(S); here C and S are the maximum degrees of customers and servers, respectively.
acknowledgement: We thank Orr Fischer, Juho Hirvonen, and Tuomo Lempiäinen for valuable
  discussions. This project has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
  No. 840605.
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastian
  full_name: Brandt, Sebastian
  last_name: Brandt
- first_name: Barbara
  full_name: Keller, Barbara
  last_name: Keller
- first_name: Joel
  full_name: Rybicki, Joel
  id: 334EFD2E-F248-11E8-B48F-1D18A9856A87
  last_name: Rybicki
  orcid: 0000-0002-6432-6646
- first_name: Jukka
  full_name: Suomela, Jukka
  last_name: Suomela
- first_name: Jara
  full_name: Uitto, Jara
  last_name: Uitto
citation:
  ama: 'Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. Efficient load-balancing
    through distributed token dropping. In: <i>Annual ACM Symposium on Parallelism
    in Algorithms and Architectures</i>. ; 2021:129-139. doi:<a href="https://doi.org/10.1145/3409964.3461785">10.1145/3409964.3461785</a>'
  apa: Brandt, S., Keller, B., Rybicki, J., Suomela, J., &#38; Uitto, J. (2021). Efficient
    load-balancing through distributed token dropping. In <i>Annual ACM Symposium
    on Parallelism in Algorithms and Architectures</i> (pp. 129–139).  Virtual Event,
    United States. <a href="https://doi.org/10.1145/3409964.3461785">https://doi.org/10.1145/3409964.3461785</a>
  chicago: Brandt, Sebastian, Barbara Keller, Joel Rybicki, Jukka Suomela, and Jara
    Uitto. “Efficient Load-Balancing through Distributed Token Dropping.” In <i>Annual
    ACM Symposium on Parallelism in Algorithms and Architectures</i>, 129–39, 2021.
    <a href="https://doi.org/10.1145/3409964.3461785">https://doi.org/10.1145/3409964.3461785</a>.
  ieee: S. Brandt, B. Keller, J. Rybicki, J. Suomela, and J. Uitto, “Efficient load-balancing
    through distributed token dropping,” in <i>Annual ACM Symposium on Parallelism
    in Algorithms and Architectures</i>,  Virtual Event, United States, 2021, pp.
    129–139.
  ista: 'Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. 2021. Efficient load-balancing
    through distributed token dropping. Annual ACM Symposium on Parallelism in Algorithms
    and Architectures. SPAA: Symposium on Parallelism in Algorithms and Architectures
    , 129–139.'
  mla: Brandt, Sebastian, et al. “Efficient Load-Balancing through Distributed Token
    Dropping.” <i>Annual ACM Symposium on Parallelism in Algorithms and Architectures</i>,
    2021, pp. 129–39, doi:<a href="https://doi.org/10.1145/3409964.3461785">10.1145/3409964.3461785</a>.
  short: S. Brandt, B. Keller, J. Rybicki, J. Suomela, J. Uitto, in:, Annual ACM Symposium
    on Parallelism in Algorithms and Architectures, 2021, pp. 129–139.
conference:
  end_date: 2021-07-08
  location: ' Virtual Event, United States'
  name: 'SPAA: Symposium on Parallelism in Algorithms and Architectures '
  start_date: 2021-07-06
date_created: 2021-07-18T22:01:22Z
date_published: 2021-07-06T00:00:00Z
date_updated: 2024-03-05T07:13:12Z
day: '06'
department:
- _id: DaAl
doi: 10.1145/3409964.3461785
ec_funded: 1
external_id:
  arxiv:
  - '2005.07761'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2005.07761
month: '07'
oa: 1
oa_version: Preprint
page: 129-139
project:
- _id: 26A5D39A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '840605'
  name: Coordination in constrained and natural distributed systems
publication: Annual ACM Symposium on Parallelism in Algorithms and Architectures
publication_identifier:
  isbn:
  - '9781450380706'
publication_status: published
quality_controlled: '1'
related_material:
  record:
  - id: '15074'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Efficient load-balancing through distributed token dropping
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
year: '2021'
...
---
_id: '9679'
abstract:
- lang: eng
  text: The relative motion of three impenetrable particles on a ring, in our case
    two identical fermions and one impurity, is isomorphic to a triangular quantum
    billiard. Depending on the ratio κ of the impurity and fermion masses, the billiards
    can be integrable or non-integrable (also referred to in the main text as chaotic).
    To set the stage, we first investigate the energy level distributions of the billiards
    as a function of 1/κ ∈ [0, 1] and find no evidence of integrable cases beyond
    the limiting values 1/κ = 1 and 1/κ = 0. Then, we use machine learning tools to
    analyze properties of probability distributions of individual quantum states.
    We find that convolutional neural networks can correctly classify integrable and
    non-integrable states. The decisive features of the wave functions are the normalization
    and a large number of zero elements, corresponding to the existence of a nodal
    line. The network achieves typical accuracies of 97%, suggesting that machine
    learning tools can be used to analyze and classify the morphology of probability
    densities obtained in theory or experiment.
acknowledgement: We thank Aidan Tracy for his input during the initial stages of this
  project. We thank Nathan Harshman, Achim Richter, Wojciech Rzadkowski, and Dane
  Hudson Smith for helpful discussions and comments on the manuscript. This work has
  been supported by European Union's Horizon 2020 research and innovation program
  under the Marie Skłodowska-Curie Grant Agreement No. 754411 (AGV); by the German
  Aeronautics and Space Administration (DLR) through Grant No. 50 WM 1957 (OVM); by
  the Deutsche Forschungsgemeinschaft through Project VO 2437/1-1 (Project No. 413495248)
  (AGV and HWH); by the Deutsche Forschungsgemeinschaft through Collaborative Research
  Center SFB 1245 (Project No. 279384907) and by the Bundesministerium für Bildung
  und Forschung under Contract 05P18RDFN1 (HWH). HWH also thanks the ECT* for hospitality
  during the workshop 'Universal physics in Many-Body Quantum Systems—From Atoms to
  Quarks'. This infrastructure is part of a project that has received funding from
  the European Union's Horizon 2020 research and innovation program under Grant Agreement
  No. 824093. We acknowledge support by the Deutsche Forschungsgemeinschaft and the
  Open Access Publishing Fund of Technische Universität Darmstadt.
article_number: '065009'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: David
  full_name: Huber, David
  last_name: Huber
- first_name: Oleksandr V.
  full_name: Marchukov, Oleksandr V.
  last_name: Marchukov
- first_name: Hans Werner
  full_name: Hammer, Hans Werner
  last_name: Hammer
- first_name: Artem
  full_name: Volosniev, Artem
  id: 37D278BC-F248-11E8-B48F-1D18A9856A87
  last_name: Volosniev
  orcid: 0000-0003-0393-5525
citation:
  ama: Huber D, Marchukov OV, Hammer HW, Volosniev A. Morphology of three-body quantum
    states from machine learning. <i>New Journal of Physics</i>. 2021;23(6). doi:<a
    href="https://doi.org/10.1088/1367-2630/ac0576">10.1088/1367-2630/ac0576</a>
  apa: Huber, D., Marchukov, O. V., Hammer, H. W., &#38; Volosniev, A. (2021). Morphology
    of three-body quantum states from machine learning. <i>New Journal of Physics</i>.
    IOP Publishing. <a href="https://doi.org/10.1088/1367-2630/ac0576">https://doi.org/10.1088/1367-2630/ac0576</a>
  chicago: Huber, David, Oleksandr V. Marchukov, Hans Werner Hammer, and Artem Volosniev.
    “Morphology of Three-Body Quantum States from Machine Learning.” <i>New Journal
    of Physics</i>. IOP Publishing, 2021. <a href="https://doi.org/10.1088/1367-2630/ac0576">https://doi.org/10.1088/1367-2630/ac0576</a>.
  ieee: D. Huber, O. V. Marchukov, H. W. Hammer, and A. Volosniev, “Morphology of
    three-body quantum states from machine learning,” <i>New Journal of Physics</i>,
    vol. 23, no. 6. IOP Publishing, 2021.
  ista: Huber D, Marchukov OV, Hammer HW, Volosniev A. 2021. Morphology of three-body
    quantum states from machine learning. New Journal of Physics. 23(6), 065009.
  mla: Huber, David, et al. “Morphology of Three-Body Quantum States from Machine
    Learning.” <i>New Journal of Physics</i>, vol. 23, no. 6, 065009, IOP Publishing,
    2021, doi:<a href="https://doi.org/10.1088/1367-2630/ac0576">10.1088/1367-2630/ac0576</a>.
  short: D. Huber, O.V. Marchukov, H.W. Hammer, A. Volosniev, New Journal of Physics
    23 (2021).
date_created: 2021-07-18T22:01:22Z
date_published: 2021-06-23T00:00:00Z
date_updated: 2023-08-10T13:58:09Z
day: '23'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1088/1367-2630/ac0576
ec_funded: 1
external_id:
  arxiv:
  - '2102.04961'
  isi:
  - '000664736300001'
file:
- access_level: open_access
  checksum: e39164ce7ea228d287cf8924e1a0f9fe
  content_type: application/pdf
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  success: 1
file_date_updated: 2021-07-19T11:47:16Z
has_accepted_license: '1'
intvolume: '        23'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: New Journal of Physics
publication_identifier:
  eissn:
  - '13672630'
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Morphology of three-body quantum states from machine learning
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 23
year: '2021'
...
---
_id: '10000'
abstract:
- lang: eng
  text: Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective
    in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs)
    after acute optic nerve damage. Consistent with this, induced HDAC3 expression
    in cultured cells shows selective toxicity to neurons. Despite an established
    role for HDAC3 in neuronal pathology, little is known regarding the mechanism
    of this pathology.
acknowledgement: 'The authors thank Joel Dietz for maintaining the mice used in this
  study, Satoshi Kinoshita and the Translational Research Initiative in Pathology
  Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed
  in this study, and Mark Banghart for statistical review of the data analysis. Supported
  by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809
  (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant
  T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness,
  Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick
  A. Davis Research Chair (RWN). '
article_number: '14'
article_processing_charge: Yes
article_type: original
author:
- first_name: Heather M.
  full_name: Schmitt, Heather M.
  last_name: Schmitt
- first_name: Rachel L.
  full_name: Fehrman, Rachel L.
  last_name: Fehrman
- first_name: Margaret E
  full_name: Maes, Margaret E
  id: 3838F452-F248-11E8-B48F-1D18A9856A87
  last_name: Maes
  orcid: 0000-0001-9642-1085
- first_name: Huan
  full_name: Yang, Huan
  last_name: Yang
- first_name: Lian Wang
  full_name: Guo, Lian Wang
  last_name: Guo
- first_name: Cassandra L.
  full_name: Schlamp, Cassandra L.
  last_name: Schlamp
- first_name: Heather R.
  full_name: Pelzel, Heather R.
  last_name: Pelzel
- first_name: Robert W.
  full_name: Nickells, Robert W.
  last_name: Nickells
citation:
  ama: Schmitt HM, Fehrman RL, Maes ME, et al. Increased susceptibility and intrinsic
    apoptotic signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. 2021;62(10). doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>
  apa: Schmitt, H. M., Fehrman, R. L., Maes, M. E., Yang, H., Guo, L. W., Schlamp,
    C. L., … Nickells, R. W. (2021). Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. Association for Research in Vision and Ophthalmology.
    <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>
  chicago: Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian
    Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased
    Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.”
    <i>Investigative Ophthalmology and Visual Science</i>. Association for Research
    in Vision and Ophthalmology, 2021. <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>.
  ieee: H. M. Schmitt <i>et al.</i>, “Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression,” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10. Association for Research in Vision and
    Ophthalmology, 2021.
  ista: Schmitt HM, Fehrman RL, Maes ME, Yang H, Guo LW, Schlamp CL, Pelzel HR, Nickells
    RW. 2021. Increased susceptibility and intrinsic apoptotic signaling in neurons
    by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. 62(10),
    14.
  mla: Schmitt, Heather M., et al. “Increased Susceptibility and Intrinsic Apoptotic
    Signaling in Neurons by Induced HDAC3 Expression.” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10, 14, Association for Research in Vision
    and Ophthalmology, 2021, doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>.
  short: H.M. Schmitt, R.L. Fehrman, M.E. Maes, H. Yang, L.W. Guo, C.L. Schlamp, H.R.
    Pelzel, R.W. Nickells, Investigative Ophthalmology and Visual Science 62 (2021).
date_created: 2021-09-12T22:01:23Z
date_published: 2021-08-16T00:00:00Z
date_updated: 2023-08-14T06:35:17Z
day: '16'
ddc:
- '570'
department:
- _id: SaSi
doi: 10.1167/IOVS.62.10.14
external_id:
  isi:
  - '000695230000014'
  pmid:
  - '34398198'
file:
- access_level: open_access
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  creator: dernst
  date_created: 2022-05-13T07:40:15Z
  date_updated: 2022-05-13T07:40:15Z
  file_id: '11369'
  file_name: 2021_IOVS_Schmitt.pdf
  file_size: 19707796
  relation: main_file
  success: 1
file_date_updated: 2022-05-13T07:40:15Z
has_accepted_license: '1'
intvolume: '        62'
isi: 1
issue: '10'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
publication: Investigative Ophthalmology and Visual Science
publication_identifier:
  eissn:
  - 1552-5783
  issn:
  - 0146-0404
publication_status: published
publisher: Association for Research in Vision and Ophthalmology
quality_controlled: '1'
scopus_import: '1'
status: public
title: Increased susceptibility and intrinsic apoptotic signaling in neurons by induced
  HDAC3 expression
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
  text: 'We present a faster symbolic algorithm for the following central problem
    in probabilistic verification: Compute the maximal end-component (MEC) decomposition
    of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
    problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
    algorithms is widely used in formal verification and model-checking, where access
    to the input model is restricted to only symbolic operations (e.g., basic set
    operations and computation of one-step neighborhood). For an input MDP with  n  vertices
    and  m  edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
    requires  O(n2)  symbolic operations and  O(1)  symbolic space. The only other
    symbolic algorithm for the MEC decomposition requires  O(nm−−√)  symbolic operations
    and  O(m−−√)  symbolic space. A main open question is whether the worst-case  O(n2)  bound
    for symbolic operations can be beaten. We present a symbolic algorithm that requires  O˜(n1.5)  symbolic
    operations and  O˜(n−−√)  symbolic space. Moreover, the parametrization of our
    algorithm provides a trade-off between symbolic operations and symbolic space:
    for all  0<ϵ≤1/2  the symbolic algorithm requires  O˜(n2−ϵ)  symbolic operations
    and  O˜(nϵ)  symbolic space ( O˜  hides poly-logarithmic factors). Using our techniques
    we present faster algorithms for computing the almost-sure winning regions of  ω
    -regular objectives for MDPs. We consider the canonical parity objectives for  ω
    -regular objectives, and for parity objectives with  d -priorities we present
    an algorithm that computes the almost-sure winning region with  O˜(n2−ϵ)  symbolic
    operations and  O˜(nϵ)  symbolic space, for all  0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
  comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
  through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
  M. H. the research leading to these results has received funding from the European
  Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
  / ERC Grant Agreement no. 340506.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Wolfgang
  full_name: Dvorak, Wolfgang
  last_name: Dvorak
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. Symbolic time and space tradeoffs
    for probabilistic verification. In: <i>Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science</i>. Institute of Electrical and Electronics
    Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>'
  apa: 'Chatterjee, K., Dvorak, W., Henzinger, M. H., &#38; Svozil, A. (2021). Symbolic
    time and space tradeoffs for probabilistic verification. In <i>Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13).
    Rome, Italy: Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika H Henzinger, and Alexander
    Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    1–13. Institute of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>.
  ieee: K. Chatterjee, W. Dvorak, M. H. Henzinger, and A. Svozil, “Symbolic time and
    space tradeoffs for probabilistic verification,” in <i>Proceedings of the 36th
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Rome, Italy, 2021,
    pp. 1–13.
  ista: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. 2021. Symbolic time and space
    tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science,
    1–13.'
  mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
    Verification.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
    Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>.
  short: K. Chatterjee, W. Dvorak, M.H. Henzinger, A. Svozil, in:, Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of
    Electrical and Electronics Engineers, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Symposium on Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-14T09:10:07Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
  arxiv:
  - '2104.07466'
  isi:
  - '000947350400089'
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10004'
abstract:
- lang: eng
  text: 'Markov chains are the de facto finite-state model for stochastic dynamical
    systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
    non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
    criterion is the maximal expected total reward where the MDP stops after T steps,
    which can be computed by a simple dynamic programming algorithm. We consider a
    natural generalization of the problem where the stopping times can be chosen according
    to a probability distribution, such that the expected stopping time is T, to optimize
    the expected total reward. Quite surprisingly we establish inter-reducibility
    of the expected stopping-time problem for Markov chains with the Positivity problem
    (which is related to the well-known Skolem problem), for which establishing either
    decidability or undecidability would be a major breakthrough. Given the hardness
    of the exact problem, we consider the approximate version of the problem: we show
    that it can be solved in exponential time for Markov chains and in exponential
    space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
  previous version of this paper for insightful comments that helped improving the
  presentation. This research was partially supported by the grant ERC CoG 863818
  (ForM-SMArt).
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>.
    Institute of Electrical and Electronics Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2021). Stochastic processes with expected
    stopping time. In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics
    Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, 1–13. Institute of Electrical and Electronics Engineers,
    2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>.
  ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
    in <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    Rome, Italy, 2021, pp. 1–13.
  ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
    time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Symposium on Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>.
  short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
    on Logic in Computer Science, Institute of Electrical and Electronics Engineers,
    2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Symposium on Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-14T09:10:08Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
  arxiv:
  - '2104.07278'
  isi:
  - '000947350400036'
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10005'
abstract:
- lang: eng
  text: We study systems of nonlinear partial differential equations of parabolic
    type, in which the elliptic operator is replaced by the first-order divergence
    operator acting on a flux function, which is related to the spatial gradient of
    the unknown through an additional implicit equation. This setting, broad enough
    in terms of applications, significantly expands the paradigm of nonlinear parabolic
    problems. Formulating four conditions concerning the form of the implicit equation,
    we first show that these conditions describe a maximal monotone p-coercive graph.
    We then establish the global-in-time and large-data existence of a (weak) solution
    and its uniqueness. To this end, we adopt and significantly generalize Minty’s
    method of monotone mappings. A unified theory, containing several novel tools,
    is developed in a way to be tractable from the point of view of numerical approximations.
acknowledgement: "M. Bulíček and J. Málek acknowledge the support of the project No.
  18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges
  support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583
  by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian
  Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers
  of the Nečas Center for Mathematical Modelling.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Miroslav
  full_name: Bulíček, Miroslav
  last_name: Bulíček
- first_name: Erika
  full_name: Maringová, Erika
  id: dbabca31-66eb-11eb-963a-fb9c22c880b4
  last_name: Maringová
- first_name: Josef
  full_name: Málek, Josef
  last_name: Málek
citation:
  ama: Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with
    implicit constitutive equations involving flux. <i>Mathematical Models and Methods
    in Applied Sciences</i>. 2021;31(09). doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>
  apa: Bulíček, M., Maringová, E., &#38; Málek, J. (2021). On nonlinear problems of
    parabolic type with implicit constitutive equations involving flux. <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>
  chicago: Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems
    of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific, 2021. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>.
  ieee: M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux,” <i>Mathematical Models
    and Methods in Applied Sciences</i>, vol. 31, no. 09. World Scientific, 2021.
  ista: Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux. Mathematical Models
    and Methods in Applied Sciences. 31(09).
  mla: Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit
    Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in
    Applied Sciences</i>, vol. 31, no. 09, World Scientific, 2021, doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>.
  short: M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied
    Sciences 31 (2021).
date_created: 2021-09-12T22:01:25Z
date_published: 2021-08-25T00:00:00Z
date_updated: 2023-09-04T11:43:45Z
day: '25'
department:
- _id: JuFi
doi: 10.1142/S0218202521500457
external_id:
  arxiv:
  - '2009.06917'
  isi:
  - '000722222900004'
intvolume: '        31'
isi: 1
issue: '09'
keyword:
- Nonlinear parabolic systems
- implicit constitutive theory
- weak solutions
- existence
- uniqueness
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2009.06917
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  eissn:
  - 1793-6314
  issn:
  - 0218-2025
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: On nonlinear problems of parabolic type with implicit constitutive equations
  involving flux
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2021'
...
---
_id: '10007'
abstract:
- lang: eng
  text: The present thesis is concerned with the derivation of weak-strong uniqueness
    principles for curvature driven interface evolution problems not satisfying a
    comparison principle. The specific examples being treated are two-phase Navier-Stokes
    flow with surface tension, modeling the evolution of two incompressible, viscous
    and immiscible fluids separated by a sharp interface, and multiphase mean curvature
    flow, which serves as an idealized model for the motion of grain boundaries in
    an annealing polycrystalline material. Our main results - obtained in joint works
    with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation
    of geometric singularities due to topology changes, the weak solution concept
    of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with
    surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial
    Differential Equations 55, 2016) to multiphase mean curvature flow (for networks
    in R^2 or double bubbles in R^3) represents the unique solution to these interface
    evolution problems within the class of classical solutions, respectively. To the
    best of the author's knowledge, for interface evolution problems not admitting
    a geometric comparison principle the derivation of a weak-strong uniqueness principle
    represented an open problem, so that the works contained in the present thesis
    constitute the first positive results in this direction. The key ingredient of
    our approach consists of the introduction of a novel concept of relative entropies
    for a class of curvature driven interface evolution problems, for which the associated
    energy contains an interfacial contribution being proportional to the surface
    area of the evolving (network of) interface(s). The interfacial part of the relative
    entropy gives sufficient control on the interface error between a weak and a classical
    solution, and its time evolution can be computed, at least in principle, for any
    energy dissipating weak solution concept. A resulting stability estimate for the
    relative entropy essentially entails the above mentioned weak-strong uniqueness
    principles. The present thesis contains a detailed introduction to our relative
    entropy approach, which in particular highlights potential applications to other
    problems in curvature driven interface evolution not treated in this thesis.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
citation:
  ama: 'Hensel S. Curvature driven interface evolution: Uniqueness properties of weak
    solution concepts. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>'
  apa: 'Hensel, S. (2021). <i>Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts</i>. Institute of Science and Technology Austria. <a
    href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>'
  chicago: 'Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021.
    <a href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>.'
  ieee: 'S. Hensel, “Curvature driven interface evolution: Uniqueness properties of
    weak solution concepts,” Institute of Science and Technology Austria, 2021.'
  ista: 'Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts. Institute of Science and Technology Austria.'
  mla: 'Hensel, Sebastian. <i>Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts</i>. Institute of Science and Technology Austria, 2021,
    doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>.'
  short: 'S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of
    Weak Solution Concepts, Institute of Science and Technology Austria, 2021.'
date_created: 2021-09-13T11:12:34Z
date_published: 2021-09-14T00:00:00Z
date_updated: 2023-09-07T13:30:45Z
day: '14'
ddc:
- '515'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JuFi
doi: 10.15479/at:ista:10007
ec_funded: 1
file:
- access_level: closed
  checksum: c8475faaf0b680b4971f638f1db16347
  content_type: application/x-zip-compressed
  creator: shensel
  date_created: 2021-09-13T11:03:24Z
  date_updated: 2021-09-15T14:37:30Z
  file_id: '10008'
  file_name: thesis_final_Hensel.zip
  file_size: 15022154
  relation: source_file
- access_level: open_access
  checksum: 1a609937aa5275452822f45f2da17f07
  content_type: application/pdf
  creator: shensel
  date_created: 2021-09-13T14:18:56Z
  date_updated: 2021-09-14T09:52:47Z
  file_id: '10014'
  file_name: thesis_final_Hensel.pdf
  file_size: 6583638
  relation: main_file
file_date_updated: 2021-09-15T14:37:30Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '300'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '10012'
    relation: part_of_dissertation
    status: public
  - id: '10013'
    relation: part_of_dissertation
    status: public
  - id: '7489'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
title: 'Curvature driven interface evolution: Uniqueness properties of weak solution
  concepts'
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '10011'
abstract:
- lang: eng
  text: We propose a new weak solution concept for (two-phase) mean curvature flow
    which enjoys both (unconditional) existence and (weak-strong) uniqueness properties.
    These solutions are evolving varifolds, just as in Brakke's formulation, but are
    coupled to the phase volumes by a simple transport equation. First, we show that,
    in the exact same setup as in Ilmanen's proof [J. Differential Geom. 38, 417-461,
    (1993)], any limit point of solutions to the Allen-Cahn equation is a varifold
    solution in our sense. Second, we prove that any calibrated flow in the sense
    of Fischer et al. [arXiv:2003.05478] - and hence any classical solution to mean
    curvature flow - is unique in the class of our new varifold solutions. This is
    in sharp contrast to the case of Brakke flows, which a priori may disappear at
    any given time and are therefore fatally non-unique. Finally, we propose an extension
    of the solution concept to the multi-phase case which is at least guaranteed to
    satisfy a weak-strong uniqueness principle.
acknowledgement: This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG,
  German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.
  The content of this paper was developed and parts of it were written during a visit
  of the first author to the Hausdorff Center of Mathematics (HCM), University of
  Bonn. The hospitality and the support of HCM are gratefully acknowledged.
article_number: '2109.04233'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
- first_name: Tim
  full_name: Laux, Tim
  last_name: Laux
citation:
  ama: 'Hensel S, Laux T. A new varifold solution concept for mean curvature flow:
    Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2109.04233">10.48550/arXiv.2109.04233</a>'
  apa: 'Hensel, S., &#38; Laux, T. (n.d.). A new varifold solution concept for mean
    curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2109.04233">https://doi.org/10.48550/arXiv.2109.04233</a>'
  chicago: 'Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for
    Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2109.04233">https://doi.org/10.48550/arXiv.2109.04233</a>.'
  ieee: 'S. Hensel and T. Laux, “A new varifold solution concept for mean curvature
    flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness,” <i>arXiv</i>.
    .'
  ista: 'Hensel S, Laux T. A new varifold solution concept for mean curvature flow:
    Convergence of  the Allen-Cahn equation and weak-strong uniqueness. arXiv, 2109.04233.'
  mla: 'Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean
    Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.”
    <i>ArXiv</i>, 2109.04233, doi:<a href="https://doi.org/10.48550/arXiv.2109.04233">10.48550/arXiv.2109.04233</a>.'
  short: S. Hensel, T. Laux, ArXiv (n.d.).
date_created: 2021-09-13T12:17:10Z
date_published: 2021-09-09T00:00:00Z
date_updated: 2023-05-03T10:34:38Z
day: '09'
department:
- _id: JuFi
doi: 10.48550/arXiv.2109.04233
ec_funded: 1
external_id:
  arxiv:
  - '2109.04233'
keyword:
- Mean curvature flow
- gradient flows
- varifolds
- weak solutions
- weak-strong uniqueness
- calibrated geometry
- gradient-flow calibrations
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2109.04233
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: arXiv
publication_status: submitted
status: public
title: 'A new varifold solution concept for mean curvature flow: Convergence of  the
  Allen-Cahn equation and weak-strong uniqueness'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10013'
abstract:
- lang: eng
  text: We derive a weak-strong uniqueness principle for BV solutions to multiphase
    mean curvature flow of triple line clusters in three dimensions. Our proof is
    based on the explicit construction of a gradient-flow calibration in the sense
    of the recent work of Fischer et al. [arXiv:2003.05478] for any such cluster.
    This extends the two-dimensional construction to the three-dimensional case of
    surfaces meeting along triple junctions.
acknowledgement: This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG,
  German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.
article_number: '2108.01733'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
- first_name: Tim
  full_name: Laux, Tim
  last_name: Laux
citation:
  ama: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double
    bubbles. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2108.01733">10.48550/arXiv.2108.01733</a>
  apa: Hensel, S., &#38; Laux, T. (n.d.). Weak-strong uniqueness for the mean curvature
    flow of double bubbles. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2108.01733">https://doi.org/10.48550/arXiv.2108.01733</a>
  chicago: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature
    Flow of Double Bubbles.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2108.01733">https://doi.org/10.48550/arXiv.2108.01733</a>.
  ieee: S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow
    of double bubbles,” <i>arXiv</i>. .
  ista: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double
    bubbles. arXiv, 2108.01733.
  mla: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature
    Flow of Double Bubbles.” <i>ArXiv</i>, 2108.01733, doi:<a href="https://doi.org/10.48550/arXiv.2108.01733">10.48550/arXiv.2108.01733</a>.
  short: S. Hensel, T. Laux, ArXiv (n.d.).
date_created: 2021-09-13T12:17:11Z
date_published: 2021-08-03T00:00:00Z
date_updated: 2023-09-07T13:30:45Z
day: '03'
department:
- _id: JuFi
doi: 10.48550/arXiv.2108.01733
ec_funded: 1
external_id:
  arxiv:
  - '2108.01733'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2108.01733
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '13043'
    relation: later_version
    status: public
  - id: '10007'
    relation: dissertation_contains
    status: public
status: public
title: Weak-strong uniqueness for the mean curvature flow of double bubbles
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10015'
abstract:
- lang: eng
  text: "Auxin plays a dual role in growth regulation and, depending on the tissue
    and concentration of the hormone, it can either promote or inhibit division and
    expansion processes in plants. Recent studies have revealed that, beyond transcriptional
    reprogramming, alternative auxincontrolled mechanisms regulate root growth. Here,
    we explored the impact of different concentrations of the synthetic auxin NAA
    that establish growth-promoting and -repressing conditions on the root tip proteome
    and phosphoproteome, generating a unique resource. From the phosphoproteome data,
    we pinpointed (novel) growth regulators, such as the RALF34-THE1 module. Our results,
    together with previously published studies, suggest that auxin, H+-ATPases, cell
    wall modifications and cell wall sensing receptor-like kinases are tightly embedded
    in a pathway regulating cell elongation. Furthermore, our study assigned a novel
    role to MKK2 as a regulator of primary root growth and a (potential) regulator
    of auxin biosynthesis and signalling, and suggests the importance of the MKK2\r\nThr31
    phosphorylation site for growth regulation in the Arabidopsis root tip."
acknowledgement: We thank the Nottingham Stock Centre for seeds, Frank Van Breusegem
  for the phb3 mutant, and Herman Höfte for the the1 mutant. Open Access Funding by
  the Austrian Science Fund (FWF).
alternative_title:
- Protein Phosphorylation and Cell Signaling in Plants
article_number: '1665 '
article_processing_charge: Yes
article_type: original
author:
- first_name: N
  full_name: Nikonorova, N
  last_name: Nikonorova
- first_name: E
  full_name: Murphy, E
  last_name: Murphy
- first_name: CF
  full_name: Fonseca de Lima, CF
  last_name: Fonseca de Lima
- first_name: S
  full_name: Zhu, S
  last_name: Zhu
- first_name: B
  full_name: van de Cotte, B
  last_name: van de Cotte
- first_name: LD
  full_name: Vu, LD
  last_name: Vu
- first_name: D
  full_name: Balcerowicz, D
  last_name: Balcerowicz
- first_name: Lanxin
  full_name: Li, Lanxin
  id: 367EF8FA-F248-11E8-B48F-1D18A9856A87
  last_name: Li
  orcid: 0000-0002-5607-272X
- first_name: X
  full_name: Kong, X
  last_name: Kong
- first_name: G
  full_name: De Rop, G
  last_name: De Rop
- first_name: T
  full_name: Beeckman, T
  last_name: Beeckman
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: K
  full_name: Vissenberg, K
  last_name: Vissenberg
- first_name: PC
  full_name: Morris, PC
  last_name: Morris
- first_name: Z
  full_name: Ding, Z
  last_name: Ding
- first_name: I
  full_name: De Smet, I
  last_name: De Smet
citation:
  ama: Nikonorova N, Murphy E, Fonseca de Lima C, et al. The Arabidopsis root tip
    (phospho)proteomes at growth-promoting versus growth-repressing conditions reveal
    novel root growth regulators. <i>Cells</i>. 2021;10. doi:<a href="https://doi.org/10.3390/cells10071665">10.3390/cells10071665</a>
  apa: Nikonorova, N., Murphy, E., Fonseca de Lima, C., Zhu, S., van de Cotte, B.,
    Vu, L., … De Smet, I. (2021). The Arabidopsis root tip (phospho)proteomes at growth-promoting
    versus growth-repressing conditions reveal novel root growth regulators. <i>Cells</i>.
    MDPI. <a href="https://doi.org/10.3390/cells10071665">https://doi.org/10.3390/cells10071665</a>
  chicago: Nikonorova, N, E Murphy, CF Fonseca de Lima, S Zhu, B van de Cotte, LD
    Vu, D Balcerowicz, et al. “The Arabidopsis Root Tip (Phospho)Proteomes at Growth-Promoting
    versus Growth-Repressing Conditions Reveal Novel Root Growth Regulators.” <i>Cells</i>.
    MDPI, 2021. <a href="https://doi.org/10.3390/cells10071665">https://doi.org/10.3390/cells10071665</a>.
  ieee: N. Nikonorova <i>et al.</i>, “The Arabidopsis root tip (phospho)proteomes
    at growth-promoting versus growth-repressing conditions reveal novel root growth
    regulators,” <i>Cells</i>, vol. 10. MDPI, 2021.
  ista: Nikonorova N, Murphy E, Fonseca de Lima C, Zhu S, van de Cotte B, Vu L, Balcerowicz
    D, Li L, Kong X, De Rop G, Beeckman T, Friml J, Vissenberg K, Morris P, Ding Z,
    De Smet I. 2021. The Arabidopsis root tip (phospho)proteomes at growth-promoting
    versus growth-repressing conditions reveal novel root growth regulators. Cells.
    10, 1665.
  mla: Nikonorova, N., et al. “The Arabidopsis Root Tip (Phospho)Proteomes at Growth-Promoting
    versus Growth-Repressing Conditions Reveal Novel Root Growth Regulators.” <i>Cells</i>,
    vol. 10, 1665, MDPI, 2021, doi:<a href="https://doi.org/10.3390/cells10071665">10.3390/cells10071665</a>.
  short: N. Nikonorova, E. Murphy, C. Fonseca de Lima, S. Zhu, B. van de Cotte, L.
    Vu, D. Balcerowicz, L. Li, X. Kong, G. De Rop, T. Beeckman, J. Friml, K. Vissenberg,
    P. Morris, Z. Ding, I. De Smet, Cells 10 (2021).
date_created: 2021-09-14T11:36:20Z
date_published: 2021-07-02T00:00:00Z
date_updated: 2024-10-29T10:22:44Z
day: '02'
ddc:
- '575'
department:
- _id: JiFr
doi: 10.3390/cells10071665
ec_funded: 1
external_id:
  isi:
  - '000676604700001'
  pmid:
  - '34359847'
file:
- access_level: open_access
  checksum: 2a9f534b9c2200e72e2cde95afaf4eed
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-09-16T09:07:06Z
  date_updated: 2021-09-16T09:07:06Z
  file_id: '10021'
  file_name: 2021_Cells_Nikonorova.pdf
  file_size: 2667848
  relation: main_file
  success: 1
file_date_updated: 2021-09-16T09:07:06Z
has_accepted_license: '1'
intvolume: '        10'
isi: 1
keyword:
- primary root
- (phospho)proteomics
- auxin
- (receptor) kinase
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
  call_identifier: FWF
  name: FWF Open Access Fund
publication: Cells
publication_identifier:
  issn:
  - 2073-4409
publication_status: published
publisher: MDPI
quality_controlled: '1'
related_material:
  record:
  - id: '10083'
    relation: dissertation_contains
    status: public
status: public
title: The Arabidopsis root tip (phospho)proteomes at growth-promoting versus growth-repressing
  conditions reveal novel root growth regulators
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2021'
...
---
_id: '10023'
abstract:
- lang: eng
  text: We study the temporal dissipation of variance and relative entropy for ergodic
    Markov Chains in continuous time, and compute explicitly the corresponding dissipation
    rates. These are identified, as is well known, in the case of the variance in
    terms of an appropriate Hilbertian norm; and in the case of the relative entropy,
    in terms of a Dirichlet form which morphs into a version of the familiar Fisher
    information under conditions of detailed balance. Here we obtain trajectorial
    versions of these results, valid along almost every path of the random motion
    and most transparent in the backwards direction of time. Martingale arguments
    and time reversal play crucial roles, as in the recent work of Karatzas, Schachermayer
    and Tschiderer for conservative diffusions. Extensions are developed to general
    “convex divergences” and to countable state-spaces. The steepest descent and gradient
    flow properties for the variance, the relative entropy, and appropriate generalizations,
    are studied along with their respective geometries under conditions of detailed
    balance, leading to a very direct proof for the HWI inequality of Otto and Villani
    in the present context.
acknowledgement: I.K. acknowledges support from the U.S. National Science Foundation
  under Grant NSF-DMS-20-04997. J.M. acknowledges support from the European Research
  Council (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 716117) and from the Austrian Science Fund (FWF) through project
  F65. W.S. acknowledges support from the Austrian Science Fund (FWF) under grant
  P28861 and by the Vienna Science and Technology Fund (WWTF) through projects MA14-008
  and MA16-021.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Ioannis
  full_name: Karatzas, Ioannis
  last_name: Karatzas
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Walter
  full_name: Schachermayer, Walter
  last_name: Schachermayer
citation:
  ama: Karatzas I, Maas J, Schachermayer W. Trajectorial dissipation and gradient
    flow for the relative entropy in Markov chains. <i>Communications in Information
    and Systems</i>. 2021;21(4):481-536. doi:<a href="https://doi.org/10.4310/CIS.2021.v21.n4.a1">10.4310/CIS.2021.v21.n4.a1</a>
  apa: Karatzas, I., Maas, J., &#38; Schachermayer, W. (2021). Trajectorial dissipation
    and gradient flow for the relative entropy in Markov chains. <i>Communications
    in Information and Systems</i>. International Press. <a href="https://doi.org/10.4310/CIS.2021.v21.n4.a1">https://doi.org/10.4310/CIS.2021.v21.n4.a1</a>
  chicago: Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation
    and Gradient Flow for the Relative Entropy in Markov Chains.” <i>Communications
    in Information and Systems</i>. International Press, 2021. <a href="https://doi.org/10.4310/CIS.2021.v21.n4.a1">https://doi.org/10.4310/CIS.2021.v21.n4.a1</a>.
  ieee: I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and
    gradient flow for the relative entropy in Markov chains,” <i>Communications in
    Information and Systems</i>, vol. 21, no. 4. International Press, pp. 481–536,
    2021.
  ista: Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient
    flow for the relative entropy in Markov chains. Communications in Information
    and Systems. 21(4), 481–536.
  mla: Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the
    Relative Entropy in Markov Chains.” <i>Communications in Information and Systems</i>,
    vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:<a href="https://doi.org/10.4310/CIS.2021.v21.n4.a1">10.4310/CIS.2021.v21.n4.a1</a>.
  short: I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and
    Systems 21 (2021) 481–536.
date_created: 2021-09-19T08:53:19Z
date_published: 2021-06-04T00:00:00Z
date_updated: 2021-09-20T12:51:18Z
day: '04'
department:
- _id: JaMa
doi: 10.4310/CIS.2021.v21.n4.a1
ec_funded: 1
external_id:
  arxiv:
  - '2005.14177'
intvolume: '        21'
issue: '4'
keyword:
- Markov Chain
- relative entropy
- time reversal
- steepest descent
- gradient flow
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2005.14177
month: '06'
oa: 1
oa_version: Preprint
page: 481-536
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Communications in Information and Systems
publication_identifier:
  issn:
  - 1526-7555
publication_status: published
publisher: International Press
quality_controlled: '1'
status: public
title: Trajectorial dissipation and gradient flow for the relative entropy in Markov
  chains
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 21
year: '2021'
...
---
_id: '10024'
abstract:
- lang: eng
  text: In this paper, we introduce a random environment for the exclusion process
    in  obtained by assigning a maximal occupancy to each site. This maximal occupancy
    is allowed to randomly vary among sites, and partial exclusion occurs. Under the
    assumption of ergodicity under translation and uniform ellipticity of the environment,
    we derive a quenched hydrodynamic limit in path space by strengthening the mild
    solution approach initiated in Nagy (2002) and Faggionato (2007). To this purpose,
    we prove, employing the technology developed for the random conductance model,
    a homogenization result in the form of an arbitrary starting point quenched invariance
    principle for a single particle in the same environment, which is a result of
    independent interest. The self-duality property of the partial exclusion process
    allows us to transfer this homogenization result to the particle system and, then,
    apply the tightness criterion in Redig et al. (2020).
acknowledgement: The authors would like to thank Marek Biskup and Alberto Chiarini
  for useful suggestions and  Cristian  Giardina,  Frank  den  Hollander  and  Shubhamoy  Nandan  for  inspiring  discussions.  S.F.  acknowledges  Simona  Villa  for  her  help  in  creating  the  picture.  Furthermore,
  the  authors  thank  two  anonymous  referees  for  the  careful  reading  of  the  manuscript.  S.F.
  acknowledges  financial  support  from  NWO,  The  Netherlands  via  the  grant  TOP1.17.019.
  F.S.  acknowledges  financial  support  from  NWO  via  the  TOP1  grant  613.001.552  as  well  as
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie-Skłodowska-Curie grant agreement No. 754411.
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Simone
  full_name: Floreani, Simone
  last_name: Floreani
- first_name: Frank
  full_name: Redig, Frank
  last_name: Redig
- first_name: Federico
  full_name: Sau, Federico
  id: E1836206-9F16-11E9-8814-AEFDE5697425
  last_name: Sau
citation:
  ama: Floreani S, Redig F, Sau F. Hydrodynamics for the partial exclusion process
    in random environment. <i>Stochastic Processes and their Applications</i>. 2021;142:124-158.
    doi:<a href="https://doi.org/10.1016/j.spa.2021.08.006">10.1016/j.spa.2021.08.006</a>
  apa: Floreani, S., Redig, F., &#38; Sau, F. (2021). Hydrodynamics for the partial
    exclusion process in random environment. <i>Stochastic Processes and Their Applications</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.spa.2021.08.006">https://doi.org/10.1016/j.spa.2021.08.006</a>
  chicago: Floreani, Simone, Frank Redig, and Federico Sau. “Hydrodynamics for the
    Partial Exclusion Process in Random Environment.” <i>Stochastic Processes and
    Their Applications</i>. Elsevier, 2021. <a href="https://doi.org/10.1016/j.spa.2021.08.006">https://doi.org/10.1016/j.spa.2021.08.006</a>.
  ieee: S. Floreani, F. Redig, and F. Sau, “Hydrodynamics for the partial exclusion
    process in random environment,” <i>Stochastic Processes and their Applications</i>,
    vol. 142. Elsevier, pp. 124–158, 2021.
  ista: Floreani S, Redig F, Sau F. 2021. Hydrodynamics for the partial exclusion
    process in random environment. Stochastic Processes and their Applications. 142,
    124–158.
  mla: Floreani, Simone, et al. “Hydrodynamics for the Partial Exclusion Process in
    Random Environment.” <i>Stochastic Processes and Their Applications</i>, vol.
    142, Elsevier, 2021, pp. 124–58, doi:<a href="https://doi.org/10.1016/j.spa.2021.08.006">10.1016/j.spa.2021.08.006</a>.
  short: S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications
    142 (2021) 124–158.
date_created: 2021-09-19T22:01:25Z
date_published: 2021-08-27T00:00:00Z
date_updated: 2023-08-14T06:52:43Z
day: '27'
ddc:
- '519'
department:
- _id: JaMa
doi: 10.1016/j.spa.2021.08.006
ec_funded: 1
external_id:
  arxiv:
  - '1911.12564'
  isi:
  - '000697748500005'
file:
- access_level: open_access
  checksum: 56768c553d7218ee5714902ffec90ec4
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-13T07:55:50Z
  date_updated: 2022-05-13T07:55:50Z
  file_id: '11370'
  file_name: 2021_StochasticProcessesAppl_Floreani.pdf
  file_size: 2115791
  relation: main_file
  success: 1
file_date_updated: 2022-05-13T07:55:50Z
has_accepted_license: '1'
intvolume: '       142'
isi: 1
keyword:
- hydrodynamic limit
- random environment
- random conductance model
- arbitrary starting point quenched invariance principle
- duality
- mild solution
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 124-158
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Stochastic Processes and their Applications
publication_identifier:
  issn:
  - 0304-4149
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Hydrodynamics for the partial exclusion process in random environment
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 142
year: '2021'
...
---
_id: '10025'
abstract:
- lang: eng
  text: Ferromagnetism is most common in transition metal compounds but may also arise
    in low-density two-dimensional electron systems, with signatures observed in silicon,
    III-V semiconductor systems, and graphene moiré heterostructures. Here we show
    that gate-tuned van Hove singularities in rhombohedral trilayer graphene drive
    the spontaneous ferromagnetic polarization of the electron system into one or
    more spin- and valley flavors. Using capacitance measurements on graphite-gated
    van der Waals heterostructures, we find a cascade of density- and electronic displacement
    field tuned phase transitions marked by negative electronic compressibility. The
    transitions define the boundaries between phases where quantum oscillations have
    either four-fold, two-fold, or one-fold degeneracy, associated with a spin and
    valley degenerate normal metal, spin-polarized `half-metal', and spin and valley
    polarized `quarter metal', respectively. For electron doping, the salient features
    are well captured by a phenomenological Stoner model with a valley-anisotropic
    Hund's coupling, likely arising from interactions at the lattice scale. For hole
    filling, we observe a richer phase diagram featuring a delicate interplay of broken
    symmetries and transitions in the Fermi surface topology. Finally, by rotational
    alignment of a hexagonal boron nitride substrate to induce a moiré superlattice,
    we find that the superlattice perturbs the preexisting isospin order only weakly,
    leaving the basic phase diagram intact while catalyzing the formation of topologically
    nontrivial gapped states whenever itinerant half- or quarter metal states occur
    at half- or quarter superlattice band filling. Our results show that rhombohedral
    trilayer graphene is an ideal platform for well-controlled tests of many-body
    theory and reveal magnetism in moiré materials to be fundamentally itinerant in
    nature.
acknowledgement: "The authors acknowledge discussions with A. Macdonald, L. Fu, F.
  Wang and M. Zaletel. AFY acknowledges support of the National Science Foundation
  under DMR1654186, and the Gordon and Betty Moore Foundation under award GBMF9471.
  The authors acknowledge the use of the research facilities within the California
  NanoSystems Institute, supported by the University of California, Santa Barbara
  and the University of California, Office of the President.\r\nK.W. and T.T. acknowledge
  support from the Elemental Strategy Initiative conducted by the MEXT, Japan, Grant
  Number JPMXP0112101001 and JSPS KAKENHI, Grant Number JP20H00354. EB and TH were
  supported by the European Research Council (ERC) under grant HQMAT (Grant Agreement
  No. 817799). A.G. acknowledges support by the European Unions Horizon 2020 research
  and innovation program under the Marie Sklodowska-Curie Grant Agreement\r\nNo. 754411.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Haoxin
  full_name: Zhou, Haoxin
  last_name: Zhou
- first_name: Tian
  full_name: Xie, Tian
  last_name: Xie
- first_name: Areg
  full_name: Ghazaryan, Areg
  id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
  last_name: Ghazaryan
  orcid: 0000-0001-9666-3543
- first_name: Tobias
  full_name: Holder, Tobias
  last_name: Holder
- first_name: James R.
  full_name: Ehrets, James R.
  last_name: Ehrets
- first_name: Eric M.
  full_name: Spanton, Eric M.
  last_name: Spanton
- first_name: Takashi
  full_name: Taniguchi, Takashi
  last_name: Taniguchi
- first_name: Kenji
  full_name: Watanabe, Kenji
  last_name: Watanabe
- first_name: Erez
  full_name: Berg, Erez
  last_name: Berg
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
- first_name: Andrea F.
  full_name: Young, Andrea F.
  last_name: Young
citation:
  ama: Zhou H, Xie T, Ghazaryan A, et al. Half and quarter metals in rhombohedral
    trilayer graphene. <i>Nature</i>. 2021. doi:<a href="https://doi.org/10.1038/s41586-021-03938-w">10.1038/s41586-021-03938-w</a>
  apa: Zhou, H., Xie, T., Ghazaryan, A., Holder, T., Ehrets, J. R., Spanton, E. M.,
    … Young, A. F. (2021). Half and quarter metals in rhombohedral trilayer graphene.
    <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/s41586-021-03938-w">https://doi.org/10.1038/s41586-021-03938-w</a>
  chicago: Zhou, Haoxin, Tian Xie, Areg Ghazaryan, Tobias Holder, James R. Ehrets,
    Eric M. Spanton, Takashi Taniguchi, et al. “Half and Quarter Metals in Rhombohedral
    Trilayer Graphene.” <i>Nature</i>. Springer Nature, 2021. <a href="https://doi.org/10.1038/s41586-021-03938-w">https://doi.org/10.1038/s41586-021-03938-w</a>.
  ieee: H. Zhou <i>et al.</i>, “Half and quarter metals in rhombohedral trilayer graphene,”
    <i>Nature</i>. Springer Nature, 2021.
  ista: Zhou H, Xie T, Ghazaryan A, Holder T, Ehrets JR, Spanton EM, Taniguchi T,
    Watanabe K, Berg E, Serbyn M, Young AF. 2021. Half and quarter metals in rhombohedral
    trilayer graphene. Nature.
  mla: Zhou, Haoxin, et al. “Half and Quarter Metals in Rhombohedral Trilayer Graphene.”
    <i>Nature</i>, Springer Nature, 2021, doi:<a href="https://doi.org/10.1038/s41586-021-03938-w">10.1038/s41586-021-03938-w</a>.
  short: H. Zhou, T. Xie, A. Ghazaryan, T. Holder, J.R. Ehrets, E.M. Spanton, T. Taniguchi,
    K. Watanabe, E. Berg, M. Serbyn, A.F. Young, Nature (2021).
date_created: 2021-09-19T22:01:25Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2023-08-14T07:04:06Z
day: '01'
department:
- _id: MaSe
- _id: MiLe
doi: 10.1038/s41586-021-03938-w
ec_funded: 1
external_id:
  arxiv:
  - '2104.00653'
  isi:
  - '000706977400002'
isi: 1
keyword:
- condensed matter - mesoscale and nanoscale physics
- condensed matter - strongly correlated electrons
- multidisciplinary
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.00653
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1038/s41586-021-04181-z
scopus_import: '1'
status: public
title: Half and quarter metals in rhombohedral trilayer graphene
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10029'
abstract:
- lang: eng
  text: Superconductor-semiconductor hybrids are platforms for realizing effective
    p-wave superconductivity. Spin-orbit coupling, combined with the proximity effect,
    causes the two-dimensional semiconductor to inherit p±ip intraband pairing, and
    application of magnetic field can then result in transitions to the normal state,
    partial Bogoliubov Fermi surfaces, or topological phases with Majorana modes.
    Experimentally probing the hybrid superconductor-semiconductor interface is challenging
    due to the shunting effect of the conventional superconductor. Consequently, the
    nature of induced pairing remains an open question. Here, we use the circuit quantum
    electrodynamics architecture to probe induced superconductivity in a two dimensional
    Al-InAs hybrid system. We observe a strong suppression of superfluid density and
    enhanced dissipation driven by magnetic field, which cannot be accounted for by
    the depairing theory of an s-wave superconductor. These observations are explained
    by a picture of independent intraband p±ip superconductors giving way to partial
    Bogoliubov Fermi surfaces, and allow for the first characterization of key properties
    of the hybrid superconducting system.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: This research was supported by the Scientific Service Units of IST
  Austria through resources provided by the MIBA Machine Shop and the nanofabrication
  facility. JS and AG were supported by funding from the European Union’s Horizon
  2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement
  No.754411.
article_number: '2107.03695'
article_processing_charge: No
arxiv: 1
author:
- first_name: Duc T
  full_name: Phan, Duc T
  id: 29C8C0B4-F248-11E8-B48F-1D18A9856A87
  last_name: Phan
- first_name: Jorden L
  full_name: Senior, Jorden L
  id: 5479D234-2D30-11EA-89CC-40953DDC885E
  last_name: Senior
  orcid: 0000-0002-0672-9295
- first_name: Areg
  full_name: Ghazaryan, Areg
  id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
  last_name: Ghazaryan
  orcid: 0000-0001-9666-3543
- first_name: M.
  full_name: Hatefipour, M.
  last_name: Hatefipour
- first_name: W. M.
  full_name: Strickland, W. M.
  last_name: Strickland
- first_name: J.
  full_name: Shabani, J.
  last_name: Shabani
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
- first_name: Andrew P
  full_name: Higginbotham, Andrew P
  id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
  last_name: Higginbotham
  orcid: 0000-0003-2607-2363
citation:
  ama: Phan DT, Senior JL, Ghazaryan A, et al. Breakdown of induced p±ip pairing in
    a superconductor-semiconductor hybrid. <i>arXiv</i>.
  apa: Phan, D. T., Senior, J. L., Ghazaryan, A., Hatefipour, M., Strickland, W. M.,
    Shabani, J., … Higginbotham, A. P. (n.d.). Breakdown of induced p±ip pairing in
    a superconductor-semiconductor hybrid. <i>arXiv</i>.
  chicago: Phan, Duc T, Jorden L Senior, Areg Ghazaryan, M. Hatefipour, W. M. Strickland,
    J. Shabani, Maksym Serbyn, and Andrew P Higginbotham. “Breakdown of Induced P±ip
    Pairing in a Superconductor-Semiconductor Hybrid.” <i>ArXiv</i>, n.d.
  ieee: D. T. Phan <i>et al.</i>, “Breakdown of induced p±ip pairing in a superconductor-semiconductor
    hybrid,” <i>arXiv</i>. .
  ista: Phan DT, Senior JL, Ghazaryan A, Hatefipour M, Strickland WM, Shabani J, Serbyn
    M, Higginbotham AP. Breakdown of induced p±ip pairing in a superconductor-semiconductor
    hybrid. arXiv, 2107.03695.
  mla: Phan, Duc T., et al. “Breakdown of Induced P±ip Pairing in a Superconductor-Semiconductor
    Hybrid.” <i>ArXiv</i>, 2107.03695.
  short: D.T. Phan, J.L. Senior, A. Ghazaryan, M. Hatefipour, W.M. Strickland, J.
    Shabani, M. Serbyn, A.P. Higginbotham, ArXiv (n.d.).
date_created: 2021-09-21T08:41:02Z
date_published: 2021-07-08T00:00:00Z
date_updated: 2024-02-21T12:36:52Z
day: '08'
department:
- _id: MaSe
- _id: AnHi
- _id: MiLe
ec_funded: 1
external_id:
  arxiv:
  - '2107.03695'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2107.03695
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '10851'
    relation: later_version
    status: public
  - id: '9636'
    relation: research_data
    status: public
status: public
title: Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
