---
_id: '10145'
abstract:
- lang: eng
  text: We study direct integrals of quadratic and Dirichlet forms. We show that each
    quasi-regular Dirichlet space over a probability space admits a unique representation
    as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same
    underlying topology. The same holds for each quasi-regular strongly local Dirichlet
    space over a metrizable Luzin σ-finite Radon measure space, and admitting carré
    du champ operator. In this case, the representation is only projectively unique.
acknowledgement: The author is grateful to Professors Sergio Albeverio and Andreas
  Eberle, and to Dr. Kohei Suzuki, for fruitful conversations on the subject of the
  present work, and for respectively pointing out the references [1, 13], and [3,
  20]. Finally, he is especially grateful to an anonymous Reviewer for their very
  careful reading and their suggestions which improved the readability of the paper.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
citation:
  ama: Dello Schiavo L. Ergodic decomposition of Dirichlet forms via direct integrals
    and applications. <i>Potential Analysis</i>. 2023;58:573-615. doi:<a href="https://doi.org/10.1007/s11118-021-09951-y">10.1007/s11118-021-09951-y</a>
  apa: Dello Schiavo, L. (2023). Ergodic decomposition of Dirichlet forms via direct
    integrals and applications. <i>Potential Analysis</i>. Springer Nature. <a href="https://doi.org/10.1007/s11118-021-09951-y">https://doi.org/10.1007/s11118-021-09951-y</a>
  chicago: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
    Integrals and Applications.” <i>Potential Analysis</i>. Springer Nature, 2023.
    <a href="https://doi.org/10.1007/s11118-021-09951-y">https://doi.org/10.1007/s11118-021-09951-y</a>.
  ieee: L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals
    and applications,” <i>Potential Analysis</i>, vol. 58. Springer Nature, pp. 573–615,
    2023.
  ista: Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct
    integrals and applications. Potential Analysis. 58, 573–615.
  mla: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
    Integrals and Applications.” <i>Potential Analysis</i>, vol. 58, Springer Nature,
    2023, pp. 573–615, doi:<a href="https://doi.org/10.1007/s11118-021-09951-y">10.1007/s11118-021-09951-y</a>.
  short: L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
date_created: 2021-10-17T22:01:17Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-10-04T09:19:12Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s11118-021-09951-y
ec_funded: 1
external_id:
  arxiv:
  - '2003.01366'
  isi:
  - '000704213400001'
file:
- access_level: open_access
  checksum: 625526482be300ca7281c91c30d41725
  content_type: application/pdf
  creator: dernst
  date_created: 2023-10-04T09:18:59Z
  date_updated: 2023-10-04T09:18:59Z
  file_id: '14387'
  file_name: 2023_PotentialAnalysis_DelloSchiavo.pdf
  file_size: 806391
  relation: main_file
  success: 1
file_date_updated: 2023-10-04T09:18:59Z
has_accepted_license: '1'
intvolume: '        58'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 573-615
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
publication: Potential Analysis
publication_identifier:
  eissn:
  - 1572-929X
  issn:
  - 0926-2601
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ergodic decomposition of Dirichlet forms via direct integrals and applications
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: 58
year: '2023'
...
---
_id: '10704'
abstract:
- lang: eng
  text: We define and study the existence of very stable Higgs bundles on Riemann
    surfaces, how it implies a precise formula for the multiplicity of the very stable
    components of the global nilpotent cone and its relationship to mirror symmetry.
    The main ingredients are the Bialynicki-Birula theory of C∗-actions on semiprojective
    varieties, C∗ characters of indices of C∗-equivariant coherent sheaves, Hecke
    transformation for Higgs bundles, relative Fourier–Mukai transform along the Hitchin
    fibration, hyperholomorphic structures on universal bundles and cominuscule Higgs
    bundles.
acknowledgement: We would like to thank Brian Collier, Davide Gaiotto, Peter Gothen,
  Jochen Heinloth, Daniel Huybrechts, Quoc Ho, Joel Kamnitzer, Gérard Laumon, Luca
  Migliorini, Alexander Minets, Brent Pym, Peng Shan, Carlos Simpson, András Szenes,
  Fernando R. Villegas, Richard Wentworth, Edward Witten and Kōta Yoshioka for interesting
  comments and discussions. Most of all we are grateful for a long list of very helpful
  comments by the referee. We would also like to thank the organizers of the Summer
  School on Higgs bundles in Hamburg in September 2018, where the authors and Richard
  Wentworth were giving lectures and where the work in this paper started by considering
  the mirror of the Lagrangian upward flows W+E investigated in [17]. The second author
  wishes to thank EPSRC and ICMAT for support. Open access funding provided by Institute
  of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Tamás
  full_name: Hausel, Tamás
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Nigel
  full_name: Hitchin, Nigel
  last_name: Hitchin
citation:
  ama: Hausel T, Hitchin N. Very stable Higgs bundles, equivariant multiplicity and
    mirror symmetry. <i>Inventiones Mathematicae</i>. 2022;228:893-989. doi:<a href="https://doi.org/10.1007/s00222-021-01093-7">10.1007/s00222-021-01093-7</a>
  apa: Hausel, T., &#38; Hitchin, N. (2022). Very stable Higgs bundles, equivariant
    multiplicity and mirror symmetry. <i>Inventiones Mathematicae</i>. Springer Nature.
    <a href="https://doi.org/10.1007/s00222-021-01093-7">https://doi.org/10.1007/s00222-021-01093-7</a>
  chicago: Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant
    Multiplicity and Mirror Symmetry.” <i>Inventiones Mathematicae</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s00222-021-01093-7">https://doi.org/10.1007/s00222-021-01093-7</a>.
  ieee: T. Hausel and N. Hitchin, “Very stable Higgs bundles, equivariant multiplicity
    and mirror symmetry,” <i>Inventiones Mathematicae</i>, vol. 228. Springer Nature,
    pp. 893–989, 2022.
  ista: Hausel T, Hitchin N. 2022. Very stable Higgs bundles, equivariant multiplicity
    and mirror symmetry. Inventiones Mathematicae. 228, 893–989.
  mla: Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant Multiplicity
    and Mirror Symmetry.” <i>Inventiones Mathematicae</i>, vol. 228, Springer Nature,
    2022, pp. 893–989, doi:<a href="https://doi.org/10.1007/s00222-021-01093-7">10.1007/s00222-021-01093-7</a>.
  short: T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.
date_created: 2022-01-30T23:01:34Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2023-08-02T14:03:20Z
day: '01'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1007/s00222-021-01093-7
external_id:
  arxiv:
  - '2101.08583'
  isi:
  - '000745495400001'
file:
- access_level: open_access
  checksum: a382ba75acebc9adfb8fe56247cb410e
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-27T07:30:47Z
  date_updated: 2023-02-27T07:30:47Z
  file_id: '12687'
  file_name: 2022_InventionesMahtematicae_Hausel.pdf
  file_size: 1069538
  relation: main_file
  success: 1
file_date_updated: 2023-02-27T07:30:47Z
has_accepted_license: '1'
intvolume: '       228'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 893-989
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Inventiones Mathematicae
publication_identifier:
  eissn:
  - 1432-1297
  issn:
  - 0020-9910
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - description: News on the ISTA Website
    relation: press_release
    url: https://ista.ac.at/en/news/the-tip-of-the-mathematical-iceberg/
scopus_import: '1'
status: public
title: Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
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: 228
year: '2022'
...
---
_id: '10758'
abstract:
- lang: eng
  text: 5-Carboxycytosine (5caC) is a rare epigenetic modification found in nucleic
    acids of all domains of life. Despite its sparse genomic abundance, 5caC is presumed
    to play essential regulatory roles in transcription, maintenance and base-excision
    processes in DNA. In this work, we utilize nuclear magnetic resonance (NMR) spectroscopy
    to address the effects of 5caC incorporation into canonical DNA strands at multiple
    pH and temperature conditions. Our results demonstrate that 5caC has a pH-dependent
    global destabilizing and a base-pair mobility enhancing local impact on dsDNA,
    albeit without any detectable influence on the ground-state B-DNA structure. Measurement
    of hybridization thermodynamics and kinetics of 5caC-bearing DNA duplexes highlighted
    how acidic environment (pH 5.8 and 4.7) destabilizes the double-stranded structure
    by ∼10–20 kJ mol–1 at 37 °C when compared to the same sample at neutral pH. Protonation
    of 5caC results in a lower activation energy for the dissociation process and
    a higher barrier for annealing. Studies on conformational exchange on the microsecond
    time scale regime revealed a sharply localized base-pair motion involving exclusively
    the modified site and its immediate surroundings. By direct comparison with canonical
    and 5-formylcytosine (5fC)-edited strands, we were able to address the impact
    of the two most oxidized naturally occurring cytosine derivatives in the genome.
    These insights on 5caC’s subtle sensitivity to acidic pH contribute to the long-standing
    questions of its capacity as a substrate in base excision repair processes and
    its purpose as an independent, stable epigenetic mark.
acknowledgement: "We thank Markus Müller for valued discussions and Felix Xu for assistance
  in the measurement of UV/vis melting profiles. This work was supported in part by
  the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – SFB 1309-325871075,
  EU-ITN LightDyNAmics (ID: 765266), the ERC-AG EpiR (ID: 741912), the Center for
  NanoScience, the Excellence Clusters CIPSM, and the Fonds der Chemischen Industrie.
  Open access funding provided by Institute of Science and Technology Austria (ISTA).\r\n\r\n"
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Romeo C. A.
  full_name: Dubini, Romeo C. A.
  last_name: Dubini
- first_name: Eva
  full_name: Korytiaková, Eva
  last_name: Korytiaková
- first_name: Thea
  full_name: Schinkel, Thea
  last_name: Schinkel
- first_name: Pia
  full_name: Heinrichs, Pia
  last_name: Heinrichs
- first_name: Thomas
  full_name: Carell, Thomas
  last_name: Carell
- first_name: Petra
  full_name: Rovo, Petra
  id: c316e53f-b965-11eb-b128-bb26acc59c00
  last_name: Rovo
  orcid: 0000-0001-8729-7326
citation:
  ama: Dubini RCA, Korytiaková E, Schinkel T, Heinrichs P, Carell T, Rovo P. 1H NMR
    chemical exchange techniques reveal local and global effects of oxidized cytosine
    derivatives. <i>ACS Physical Chemistry Au</i>. 2022;2(3):237-246. doi:<a href="https://doi.org/10.1021/acsphyschemau.1c00050">10.1021/acsphyschemau.1c00050</a>
  apa: Dubini, R. C. A., Korytiaková, E., Schinkel, T., Heinrichs, P., Carell, T.,
    &#38; Rovo, P. (2022). 1H NMR chemical exchange techniques reveal local and global
    effects of oxidized cytosine derivatives. <i>ACS Physical Chemistry Au</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/acsphyschemau.1c00050">https://doi.org/10.1021/acsphyschemau.1c00050</a>
  chicago: Dubini, Romeo C. A., Eva Korytiaková, Thea Schinkel, Pia Heinrichs, Thomas
    Carell, and Petra Rovo. “1H NMR Chemical Exchange Techniques Reveal Local and
    Global Effects of Oxidized Cytosine Derivatives.” <i>ACS Physical Chemistry Au</i>.
    American Chemical Society, 2022. <a href="https://doi.org/10.1021/acsphyschemau.1c00050">https://doi.org/10.1021/acsphyschemau.1c00050</a>.
  ieee: R. C. A. Dubini, E. Korytiaková, T. Schinkel, P. Heinrichs, T. Carell, and
    P. Rovo, “1H NMR chemical exchange techniques reveal local and global effects
    of oxidized cytosine derivatives,” <i>ACS Physical Chemistry Au</i>, vol. 2, no.
    3. American Chemical Society, pp. 237–246, 2022.
  ista: Dubini RCA, Korytiaková E, Schinkel T, Heinrichs P, Carell T, Rovo P. 2022.
    1H NMR chemical exchange techniques reveal local and global effects of oxidized
    cytosine derivatives. ACS Physical Chemistry Au. 2(3), 237–246.
  mla: Dubini, Romeo C. A., et al. “1H NMR Chemical Exchange Techniques Reveal Local
    and Global Effects of Oxidized Cytosine Derivatives.” <i>ACS Physical Chemistry
    Au</i>, vol. 2, no. 3, American Chemical Society, 2022, pp. 237–46, doi:<a href="https://doi.org/10.1021/acsphyschemau.1c00050">10.1021/acsphyschemau.1c00050</a>.
  short: R.C.A. Dubini, E. Korytiaková, T. Schinkel, P. Heinrichs, T. Carell, P. Rovo,
    ACS Physical Chemistry Au 2 (2022) 237–246.
date_created: 2022-02-16T11:18:21Z
date_published: 2022-02-11T00:00:00Z
date_updated: 2023-01-31T07:33:07Z
day: '11'
ddc:
- '540'
department:
- _id: NMR
doi: 10.1021/acsphyschemau.1c00050
external_id:
  pmid:
  - '35637781'
file:
- access_level: open_access
  checksum: 5ce3f907848f5c7caf77f1adfe5826c6
  content_type: application/pdf
  creator: dernst
  date_created: 2022-07-29T07:53:20Z
  date_updated: 2022-07-29T07:53:20Z
  file_id: '11692'
  file_name: 2022_ACSPhysChemAU_Dubini.pdf
  file_size: 2351220
  relation: main_file
  success: 1
file_date_updated: 2022-07-29T07:53:20Z
has_accepted_license: '1'
intvolume: '         2'
issue: '3'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 237-246
pmid: 1
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: ACS Physical Chemistry Au
publication_identifier:
  eissn:
  - 2694-2445
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
related_material:
  link:
  - relation: earlier_version
    url: https://www.biorxiv.org/content/10.1101/2021.12.14.472563
scopus_import: '1'
status: public
title: 1H NMR chemical exchange techniques reveal local and global effects of oxidized
  cytosine derivatives
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: 2
year: '2022'
...
---
_id: '11478'
abstract:
- lang: eng
  text: Cerebral organoids differentiated from human-induced pluripotent stem cells
    (hiPSC) provide a unique opportunity to investigate brain development. However,
    organoids usually lack microglia, brain-resident immune cells, which are present
    in the early embryonic brain and participate in neuronal circuit development.
    Here, we find IBA1+ microglia-like cells alongside retinal cups between week 3
    and 4 in 2.5D culture with an unguided retinal organoid differentiation protocol.
    Microglia do not infiltrate the neuroectoderm and instead enrich within non-pigmented,
    3D-cystic compartments that develop in parallel to the 3D-retinal organoids. When
    we guide the retinal organoid differentiation with low-dosed BMP4, we prevent
    cup development and enhance microglia and 3D-cysts formation. Mass spectrometry
    identifies these 3D-cysts to express mesenchymal and epithelial markers. We confirmed
    this microglia-preferred environment also within the unguided protocol, providing
    insight into microglial behavior and migration and offer a model to study how
    they enter and distribute within the human brain.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: We thank the scientific service units at ISTA, specifically the lab
  support facility and imaging & optics facility for their support; Nicolas Armel
  for performing the Mass Spectrometry. We thank Alexandra Lang and Tanja Peilnsteiner
  for their help in human brain tissue collection, Rouven Schulz for his insights
  into the functional assays We thank all members of the Siegert group for constant
  feedback on the project and Margaret Maes, Rouven Schulz, and Marco Benevento for
  feedback on the manuscript. This project has received funding from the European
  Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
  program (grant No. 715571 to S.S.) and from the Gesellschaft für Forschungsförderung
  Niederösterreich (grant No. Sc19-017 to V.H.).
article_number: '104580'
article_processing_charge: Yes
article_type: original
author:
- first_name: Katarina
  full_name: Bartalska, Katarina
  id: 4D883232-F248-11E8-B48F-1D18A9856A87
  last_name: Bartalska
- first_name: Verena
  full_name: Hübschmann, Verena
  id: 32B7C918-F248-11E8-B48F-1D18A9856A87
  last_name: Hübschmann
- first_name: Medina
  full_name: Korkut, Medina
  id: 4B51CE74-F248-11E8-B48F-1D18A9856A87
  last_name: Korkut
  orcid: 0000-0003-4309-2251
- first_name: Ryan J
  full_name: Cubero, Ryan J
  id: 850B2E12-9CD4-11E9-837F-E719E6697425
  last_name: Cubero
  orcid: 0000-0003-0002-1867
- first_name: Alessandro
  full_name: Venturino, Alessandro
  id: 41CB84B2-F248-11E8-B48F-1D18A9856A87
  last_name: Venturino
  orcid: 0000-0003-2356-9403
- first_name: Karl
  full_name: Rössler, Karl
  last_name: Rössler
- first_name: Thomas
  full_name: Czech, Thomas
  last_name: Czech
- first_name: Sandra
  full_name: Siegert, Sandra
  id: 36ACD32E-F248-11E8-B48F-1D18A9856A87
  last_name: Siegert
  orcid: 0000-0001-8635-0877
citation:
  ama: Bartalska K, Hübschmann V, Korkut M, et al. A systematic characterization of
    microglia-like cell occurrence during retinal organoid differentiation. <i>iScience</i>.
    2022;25(7). doi:<a href="https://doi.org/10.1016/j.isci.2022.104580">10.1016/j.isci.2022.104580</a>
  apa: Bartalska, K., Hübschmann, V., Korkut, M., Cubero, R. J., Venturino, A., Rössler,
    K., … Siegert, S. (2022). A systematic characterization of microglia-like cell
    occurrence during retinal organoid differentiation. <i>IScience</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.isci.2022.104580">https://doi.org/10.1016/j.isci.2022.104580</a>
  chicago: Bartalska, Katarina, Verena Hübschmann, Medina Korkut, Ryan J Cubero, Alessandro
    Venturino, Karl Rössler, Thomas Czech, and Sandra Siegert. “A Systematic Characterization
    of Microglia-like Cell Occurrence during Retinal Organoid Differentiation.” <i>IScience</i>.
    Elsevier, 2022. <a href="https://doi.org/10.1016/j.isci.2022.104580">https://doi.org/10.1016/j.isci.2022.104580</a>.
  ieee: K. Bartalska <i>et al.</i>, “A systematic characterization of microglia-like
    cell occurrence during retinal organoid differentiation,” <i>iScience</i>, vol.
    25, no. 7. Elsevier, 2022.
  ista: Bartalska K, Hübschmann V, Korkut M, Cubero RJ, Venturino A, Rössler K, Czech
    T, Siegert S. 2022. A systematic characterization of microglia-like cell occurrence
    during retinal organoid differentiation. iScience. 25(7), 104580.
  mla: Bartalska, Katarina, et al. “A Systematic Characterization of Microglia-like
    Cell Occurrence during Retinal Organoid Differentiation.” <i>IScience</i>, vol.
    25, no. 7, 104580, Elsevier, 2022, doi:<a href="https://doi.org/10.1016/j.isci.2022.104580">10.1016/j.isci.2022.104580</a>.
  short: K. Bartalska, V. Hübschmann, M. Korkut, R.J. Cubero, A. Venturino, K. Rössler,
    T. Czech, S. Siegert, IScience 25 (2022).
date_created: 2022-07-03T22:01:33Z
date_published: 2022-07-15T00:00:00Z
date_updated: 2023-11-02T12:21:33Z
day: '15'
ddc:
- '610'
department:
- _id: SaSi
doi: 10.1016/j.isci.2022.104580
ec_funded: 1
external_id:
  isi:
  - '000830428500005'
file:
- access_level: open_access
  checksum: a470b74e1b3796c710189c81a4cd4329
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-07-04T08:19:25Z
  date_updated: 2022-07-04T08:19:25Z
  file_id: '11480'
  file_name: 2022_iScience_Bartalska.pdf
  file_size: 19400048
  relation: main_file
  success: 1
file_date_updated: 2022-07-04T08:19:25Z
has_accepted_license: '1'
intvolume: '        25'
isi: 1
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 25D4A630-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715571'
  name: Microglia action towards neuronal circuit formation and function in health
    and disease
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 9B99D380-BA93-11EA-9121-9846C619BF3A
  grant_number: SC19-017
  name: How human microglia shape developing neurons during health and inflammation
publication: iScience
publication_identifier:
  eissn:
  - 2589-0042
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  record:
  - id: '12117'
    relation: other
    status: public
scopus_import: '1'
status: public
title: A systematic characterization of microglia-like cell occurrence during retinal
  organoid differentiation
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 25
year: '2022'
...
---
_id: '7791'
abstract:
- lang: eng
  text: Extending a result of Milena Radnovic and Serge Tabachnikov, we establish
    conditionsfor two different non-symmetric norms to define the same billiard reflection
    law.
acknowledgement: AA was supported by European Research Council (ERC) under the European
  Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 78818
  Alpha). RK was supported by the Federal professorship program Grant 1.456.2016/1.4
  and the Russian Foundation for Basic Research Grants 18-01-00036 and 19-01-00169.
  Open access funding provided by Institute of Science and Technology (IST Austria).
  The authors thank Alexey Balitskiy, Milena Radnović, and Serge Tabachnikov for useful
  discussions.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Arseniy
  full_name: Akopyan, Arseniy
  id: 430D2C90-F248-11E8-B48F-1D18A9856A87
  last_name: Akopyan
  orcid: 0000-0002-2548-617X
- first_name: Roman
  full_name: Karasev, Roman
  last_name: Karasev
citation:
  ama: Akopyan A, Karasev R. When different norms lead to same billiard trajectories?
    <i>European Journal of Mathematics</i>. 2022;8(4):1309-1312. doi:<a href="https://doi.org/10.1007/s40879-020-00405-0">10.1007/s40879-020-00405-0</a>
  apa: Akopyan, A., &#38; Karasev, R. (2022). When different norms lead to same billiard
    trajectories? <i>European Journal of Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s40879-020-00405-0">https://doi.org/10.1007/s40879-020-00405-0</a>
  chicago: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same
    Billiard Trajectories?” <i>European Journal of Mathematics</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s40879-020-00405-0">https://doi.org/10.1007/s40879-020-00405-0</a>.
  ieee: A. Akopyan and R. Karasev, “When different norms lead to same billiard trajectories?,”
    <i>European Journal of Mathematics</i>, vol. 8, no. 4. Springer Nature, pp. 1309–1312,
    2022.
  ista: Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories?
    European Journal of Mathematics. 8(4), 1309–1312.
  mla: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard
    Trajectories?” <i>European Journal of Mathematics</i>, vol. 8, no. 4, Springer
    Nature, 2022, pp. 1309–12, doi:<a href="https://doi.org/10.1007/s40879-020-00405-0">10.1007/s40879-020-00405-0</a>.
  short: A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
date_created: 2020-05-03T22:00:48Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2024-02-22T15:58:42Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s40879-020-00405-0
ec_funded: 1
external_id:
  arxiv:
  - '1912.12685'
file:
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  date_updated: 2020-07-14T12:48:03Z
  file_id: '7796'
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file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: '         8'
issue: '4'
language:
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month: '12'
oa: 1
oa_version: Published Version
page: 1309 - 1312
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: European Journal of Mathematics
publication_identifier:
  eissn:
  - 2199-6768
  issn:
  - 2199-675X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: When different norms lead to same billiard trajectories?
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2022'
...
---
_id: '10564'
abstract:
- lang: eng
  text: We study a class of polaron-type Hamiltonians with sufficiently regular form
    factor in the interaction term. We investigate the strong-coupling limit of the
    model, and prove suitable bounds on the ground state energy as a function of the
    total momentum of the system. These bounds agree with the semiclassical approximation
    to leading order. The latter corresponds here to the situation when the particle
    undergoes harmonic motion in a potential well whose frequency is determined by
    the corresponding Pekar functional. We show that for all such models the effective
    mass diverges in the strong coupling limit, in all spatial dimensions. Moreover,
    for the case when the phonon dispersion relation grows at least linearly with
    momentum, the bounds result in an asymptotic formula for the effective mass quotient,
    a quantity generalizing the usual notion of the effective mass. This asymptotic
    form agrees with the semiclassical Landau–Pekar formula and can be regarded as
    the first rigorous confirmation, in a slightly weaker sense than usually considered,
    of the validity of the semiclassical formula for the effective mass.
acknowledgement: Financial support through the European Research Council (ERC) under
  the European Union’s Horizon 2020 research and innovation programme Grant Agreement
  No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.)
  is gratefully acknowledged. Open access funding provided by Institute of Science
  and Technology (IST Austria).
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Krzysztof
  full_name: Mysliwy, Krzysztof
  id: 316457FC-F248-11E8-B48F-1D18A9856A87
  last_name: Mysliwy
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Mysliwy K, Seiringer R. Polaron models with regular interactions at strong
    coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href="https://doi.org/10.1007/s10955-021-02851-w">10.1007/s10955-021-02851-w</a>
  apa: Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions
    at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a
    href="https://doi.org/10.1007/s10955-021-02851-w">https://doi.org/10.1007/s10955-021-02851-w</a>
  chicago: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular
    Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer
    Nature, 2022. <a href="https://doi.org/10.1007/s10955-021-02851-w">https://doi.org/10.1007/s10955-021-02851-w</a>.
  ieee: K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at
    strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer
    Nature, 2022.
  ista: Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at
    strong coupling. Journal of Statistical Physics. 186(1), 5.
  mla: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions
    at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5,
    Springer Nature, 2022, doi:<a href="https://doi.org/10.1007/s10955-021-02851-w">10.1007/s10955-021-02851-w</a>.
  short: K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
date_created: 2021-12-19T23:01:32Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2023-09-07T13:43:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s10955-021-02851-w
ec_funded: 1
external_id:
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  - '2106.09328'
  isi:
  - '000726275600001'
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  file_name: 2022_JournalStatPhys_Myśliwy.pdf
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  relation: main_file
  success: 1
file_date_updated: 2022-02-02T14:24:41Z
has_accepted_license: '1'
intvolume: '       186'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Journal of Statistical Physics
publication_identifier:
  eissn:
  - 1572-9613
  issn:
  - 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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  - id: '11473'
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    status: public
scopus_import: '1'
status: public
title: Polaron models with regular interactions at strong coupling
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 186
year: '2022'
...
---
_id: '10588'
abstract:
- lang: eng
  text: We prove the Sobolev-to-Lipschitz property for metric measure spaces satisfying
    the quasi curvature-dimension condition recently introduced in Milman (Commun
    Pure Appl Math, to appear). We provide several applications to properties of the
    corresponding heat semigroup. In particular, under the additional assumption of
    infinitesimal Hilbertianity, we show the Varadhan short-time asymptotics for the
    heat semigroup with respect to the distance, and prove the irreducibility of the
    heat semigroup. These results apply in particular to large classes of (ideal)
    sub-Riemannian manifolds.
acknowledgement: "The authors are grateful to Dr. Bang-Xian Han for helpful discussions
  on the Sobolev-to-Lipschitz property on metric measure spaces, and to Professor
  Kazuhiro Kuwae, Professor Emanuel Milman, Dr. Giorgio Stefani, and Dr. Gioacchino
  Antonelli for reading a preliminary version of this work and for their valuable
  comments and suggestions. Finally, they wish to express their gratitude to two anonymous
  Reviewers whose suggestions improved the presentation of this work.\r\n\r\nL.D.S.
  gratefully acknowledges funding of his position by the Austrian Science Fund (FWF)
  grant F65, and by the European Research Council (ERC, grant No. 716117, awarded
  to Prof. Dr. Jan Maas).\r\n\r\nK.S. gratefully acknowledges funding by: the JSPS
  Overseas Research Fellowships, Grant Nr. 290142; World Premier International Research
  Center Initiative (WPI), MEXT, Japan; JSPS Grant-in-Aid for Scientific Research
  on Innovative Areas “Discrete Geometric Analysis for Materials Design”, Grant Number
  17H06465; and the Alexander von Humboldt Stiftung, Humboldt-Forschungsstipendium."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Kohei
  full_name: Suzuki, Kohei
  last_name: Suzuki
citation:
  ama: Dello Schiavo L, Suzuki K. Sobolev-to-Lipschitz property on QCD- spaces and
    applications. <i>Mathematische Annalen</i>. 2022;384:1815-1832. doi:<a href="https://doi.org/10.1007/s00208-021-02331-2">10.1007/s00208-021-02331-2</a>
  apa: Dello Schiavo, L., &#38; Suzuki, K. (2022). Sobolev-to-Lipschitz property on
    QCD- spaces and applications. <i>Mathematische Annalen</i>. Springer Nature. <a
    href="https://doi.org/10.1007/s00208-021-02331-2">https://doi.org/10.1007/s00208-021-02331-2</a>
  chicago: Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property
    on QCD- Spaces and Applications.” <i>Mathematische Annalen</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s00208-021-02331-2">https://doi.org/10.1007/s00208-021-02331-2</a>.
  ieee: L. Dello Schiavo and K. Suzuki, “Sobolev-to-Lipschitz property on QCD- spaces
    and applications,” <i>Mathematische Annalen</i>, vol. 384. Springer Nature, pp.
    1815–1832, 2022.
  ista: Dello Schiavo L, Suzuki K. 2022. Sobolev-to-Lipschitz property on QCD- spaces
    and applications. Mathematische Annalen. 384, 1815–1832.
  mla: Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on
    QCD- Spaces and Applications.” <i>Mathematische Annalen</i>, vol. 384, Springer
    Nature, 2022, pp. 1815–32, doi:<a href="https://doi.org/10.1007/s00208-021-02331-2">10.1007/s00208-021-02331-2</a>.
  short: L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.
date_created: 2022-01-02T23:01:35Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-08-02T13:39:05Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s00208-021-02331-2
ec_funded: 1
external_id:
  arxiv:
  - '2110.05137'
  isi:
  - '000734150200001'
file:
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  checksum: 2593abbf195e38efa93b6006b1e90eb1
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  file_id: '10596'
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file_date_updated: 2022-01-03T11:08:31Z
has_accepted_license: '1'
intvolume: '       384'
isi: 1
keyword:
- quasi curvature-dimension condition
- sub-riemannian geometry
- Sobolev-to-Lipschitz property
- Varadhan short-time asymptotics
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1815-1832
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
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Mathematische Annalen
publication_identifier:
  eissn:
  - 1432-1807
  issn:
  - 0025-5831
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sobolev-to-Lipschitz property on QCD- spaces and applications
tmp:
  image: /images/cc_by.png
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  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: 384
year: '2022'
...
---
_id: '10602'
abstract:
- lang: eng
  text: Transforming ω-automata into parity automata is traditionally done using appearance
    records. We present an efficient variant of this idea, tailored to Rabin automata,
    and several optimizations applicable to all appearance records. We compare the
    methods experimentally and show that our method produces significantly smaller
    automata than previous approaches.
acknowledgement: This work is partially funded by the German Research Foundation (DFG)
  projects Verified Model Checkers (No. 317422601) and Statistical Unbounded Verification
  (No. 383882557), and the Alexander von Humboldt Foundation with funds from the German
  Federal Ministry of Education and Research. It is an extended version of [21], including
  all proofs together with further explanations and examples. Moreover, we provide
  a new, more efficient construction based on (total) preorders, unifying previous
  optimizations. Experiments are performed with a new, performant implementation,
  comparing our approach to the current state of the art.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Clara
  full_name: Waldmann, Clara
  last_name: Waldmann
- first_name: Maximilian
  full_name: Weininger, Maximilian
  last_name: Weininger
citation:
  ama: Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record
    with preorders. <i>Acta Informatica</i>. 2022;59:585-618. doi:<a href="https://doi.org/10.1007/s00236-021-00412-y">10.1007/s00236-021-00412-y</a>
  apa: Kretinsky, J., Meggendorfer, T., Waldmann, C., &#38; Weininger, M. (2022).
    Index appearance record with preorders. <i>Acta Informatica</i>. Springer Nature.
    <a href="https://doi.org/10.1007/s00236-021-00412-y">https://doi.org/10.1007/s00236-021-00412-y</a>
  chicago: Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger.
    “Index Appearance Record with Preorders.” <i>Acta Informatica</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s00236-021-00412-y">https://doi.org/10.1007/s00236-021-00412-y</a>.
  ieee: J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance
    record with preorders,” <i>Acta Informatica</i>, vol. 59. Springer Nature, pp.
    585–618, 2022.
  ista: Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2022. Index appearance
    record with preorders. Acta Informatica. 59, 585–618.
  mla: Kretinsky, Jan, et al. “Index Appearance Record with Preorders.” <i>Acta Informatica</i>,
    vol. 59, Springer Nature, 2022, pp. 585–618, doi:<a href="https://doi.org/10.1007/s00236-021-00412-y">10.1007/s00236-021-00412-y</a>.
  short: J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, Acta Informatica
    59 (2022) 585–618.
date_created: 2022-01-06T12:37:27Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2023-08-02T13:49:28Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s00236-021-00412-y
external_id:
  isi:
  - '000735765500001'
file:
- access_level: open_access
  checksum: bf1c195b6aaf59e8530cf9e3a9d731f7
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-01-07T07:50:31Z
  date_updated: 2022-01-07T07:50:31Z
  file_id: '10603'
  file_name: 2021_ActaInfor_Křetínský.pdf
  file_size: 1066082
  relation: main_file
  success: 1
file_date_updated: 2022-01-07T07:50:31Z
has_accepted_license: '1'
intvolume: '        59'
isi: 1
keyword:
- computer networks and communications
- information systems
- software
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 585-618
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Acta Informatica
publication_identifier:
  eissn:
  - 1432-0525
  issn:
  - 0001-5903
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Index appearance record with preorders
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: 59
year: '2022'
...
---
_id: '10623'
abstract:
- lang: eng
  text: We investigate the BCS critical temperature Tc in the high-density limit and
    derive an asymptotic formula, which strongly depends on the behavior of the interaction
    potential V on the Fermi-surface. Our results include a rigorous confirmation
    for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev
    Lett 122:157001, 2019) and identify precise conditions under which superconducting
    domes arise in BCS theory.
acknowledgement: I am very grateful to Robert Seiringer for his guidance during this
  project and for many valuable comments on an earlier version of the manuscript.
  Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions
  and comments, pointing out the reference [22] and for his involvement in a closely
  related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable
  comments on an earlier version of the manuscript and Andreas Deuchert for interesting
  discussions.
article_number: '3'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
citation:
  ama: Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics,
    Analysis and Geometry</i>. 2022;25(1). doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>
  apa: Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>
  chicago: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>.
  ieee: S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.
  ista: Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical
    Physics, Analysis and Geometry. 25(1), 3.
  mla: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022,
    doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>.
  short: S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
date_created: 2022-01-13T15:40:53Z
date_published: 2022-01-11T00:00:00Z
date_updated: 2023-08-02T13:51:52Z
day: '11'
ddc:
- '514'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11040-021-09415-0
ec_funded: 1
external_id:
  arxiv:
  - '2106.02015'
  isi:
  - '000741387600001'
file:
- access_level: open_access
  checksum: d44f8123a52592a75b2c3b8ee2cd2435
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-01-14T07:27:45Z
  date_updated: 2022-01-14T07:27:45Z
  file_id: '10624'
  file_name: 2022_MathPhyAnalGeo_Henheik.pdf
  file_size: 505804
  relation: main_file
  success: 1
file_date_updated: 2022-01-14T07:27:45Z
has_accepted_license: '1'
intvolume: '        25'
isi: 1
issue: '1'
keyword:
- geometry and topology
- mathematical physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
publication_identifier:
  eissn:
  - 1572-9656
  issn:
  - 1385-0172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The BCS critical temperature at high density
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: 25
year: '2022'
...
---
_id: '10806'
abstract:
- lang: eng
  text: Ligands are a fundamental part of nanocrystals. They control and direct nanocrystal
    syntheses and provide colloidal stability. Bound ligands also affect the nanocrystals’
    chemical reactivity and electronic structure. Surface chemistry is thus crucial
    to understand nanocrystal properties and functionality. Here, we investigate the
    synthesis of metal oxide nanocrystals (CeO2-x, ZnO, and NiO) from metal nitrate
    precursors, in the presence of oleylamine ligands. Surprisingly, the nanocrystals
    are capped exclusively with a fatty acid instead of oleylamine. Analysis of the
    reaction mixtures with nuclear magnetic resonance spectroscopy revealed several
    reaction byproducts and intermediates that are common to the decomposition of
    Ce, Zn, Ni, and Zr nitrate precursors. Our evidence supports the oxidation of
    alkylamine and formation of a carboxylic acid, thus unraveling this counterintuitive
    surface chemistry.
acknowledgement: 'This work was financially supported by IST Austria and the Werner
  Siemens Foundation. M.C. has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
  No. 665385. The work was also financially supported by University of Basel, SNSF
  NCCR Molecular Systems Engineering (project number: 182895) and SNSF R’equip (project
  number: 189622). J.L. is a Serra Húnter Fellow and is grateful to ICREA Academia
  program and MICINN/FEDER RTI2018-093996-B-C31 and GC 2017 SGR 128 projects.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Mariano
  full_name: Calcabrini, Mariano
  id: 45D7531A-F248-11E8-B48F-1D18A9856A87
  last_name: Calcabrini
- first_name: Dietger
  full_name: Van den Eynden, Dietger
  last_name: Van den Eynden
- first_name: Sergi
  full_name: Sanchez Ribot, Sergi
  id: ddae5a59-f6e0-11ea-865d-d9dc61e77a2a
  last_name: Sanchez Ribot
- first_name: Rohan
  full_name: Pokratath, Rohan
  last_name: Pokratath
- first_name: Jordi
  full_name: Llorca, Jordi
  last_name: Llorca
- first_name: Jonathan
  full_name: De Roo, Jonathan
  last_name: De Roo
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
citation:
  ama: 'Calcabrini M, Van den Eynden D, Sanchez Ribot S, et al. Ligand conversion
    in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate.
    <i>JACS Au</i>. 2021;1(11):1898-1903. doi:<a href="https://doi.org/10.1021/jacsau.1c00349">10.1021/jacsau.1c00349</a>'
  apa: 'Calcabrini, M., Van den Eynden, D., Sanchez Ribot, S., Pokratath, R., Llorca,
    J., De Roo, J., &#38; Ibáñez, M. (2021). Ligand conversion in nanocrystal synthesis:
    The oxidation of alkylamines to fatty acids by nitrate. <i>JACS Au</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/jacsau.1c00349">https://doi.org/10.1021/jacsau.1c00349</a>'
  chicago: 'Calcabrini, Mariano, Dietger Van den Eynden, Sergi Sanchez Ribot, Rohan
    Pokratath, Jordi Llorca, Jonathan De Roo, and Maria Ibáñez. “Ligand Conversion
    in Nanocrystal Synthesis: The Oxidation of Alkylamines to Fatty Acids by Nitrate.”
    <i>JACS Au</i>. American Chemical Society, 2021. <a href="https://doi.org/10.1021/jacsau.1c00349">https://doi.org/10.1021/jacsau.1c00349</a>.'
  ieee: 'M. Calcabrini <i>et al.</i>, “Ligand conversion in nanocrystal synthesis:
    The oxidation of alkylamines to fatty acids by nitrate,” <i>JACS Au</i>, vol.
    1, no. 11. American Chemical Society, pp. 1898–1903, 2021.'
  ista: 'Calcabrini M, Van den Eynden D, Sanchez Ribot S, Pokratath R, Llorca J, De
    Roo J, Ibáñez M. 2021. Ligand conversion in nanocrystal synthesis: The oxidation
    of alkylamines to fatty acids by nitrate. JACS Au. 1(11), 1898–1903.'
  mla: 'Calcabrini, Mariano, et al. “Ligand Conversion in Nanocrystal Synthesis: The
    Oxidation of Alkylamines to Fatty Acids by Nitrate.” <i>JACS Au</i>, vol. 1, no.
    11, American Chemical Society, 2021, pp. 1898–903, doi:<a href="https://doi.org/10.1021/jacsau.1c00349">10.1021/jacsau.1c00349</a>.'
  short: M. Calcabrini, D. Van den Eynden, S. Sanchez Ribot, R. Pokratath, J. Llorca,
    J. De Roo, M. Ibáñez, JACS Au 1 (2021) 1898–1903.
date_created: 2022-03-02T15:24:16Z
date_published: 2021-11-22T00:00:00Z
date_updated: 2023-05-05T08:45:36Z
day: '22'
ddc:
- '540'
department:
- _id: MaIb
doi: 10.1021/jacsau.1c00349
ec_funded: 1
file:
- access_level: open_access
  checksum: 1c66a35369e911312a359111420318a9
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-03-02T15:33:18Z
  date_updated: 2022-03-02T15:33:18Z
  file_id: '10807'
  file_name: 2021_JACSAu_Calcabrini.pdf
  file_size: 1257973
  relation: main_file
  success: 1
file_date_updated: 2022-03-02T15:33:18Z
has_accepted_license: '1'
intvolume: '         1'
issue: '11'
keyword:
- general medicine
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 1898-1903
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 9B8F7476-BA93-11EA-9121-9846C619BF3A
  name: 'HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of
    Semiconductors for Waste Heat Recovery'
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: JACS Au
publication_identifier:
  eissn:
  - 2691-3704
  issn:
  - 2691-3704
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
related_material:
  link:
  - relation: earlier_version
    url: https://doi.org/10.26434/chemrxiv-2021-cn2fr
  record:
  - id: '12885'
    relation: dissertation_contains
    status: public
status: public
title: 'Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to
  fatty acids by nitrate'
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: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 1
year: '2021'
...
---
_id: '7901'
abstract:
- lang: eng
  text: We derive rigorously the leading order of the correlation energy of a Fermi
    gas in a scaling regime of high density and weak interaction. The result verifies
    the prediction of the random-phase approximation. Our proof refines the method
    of collective bosonization in three dimensions. We approximately diagonalize an
    effective Hamiltonian describing approximately bosonic collective excitations
    around the Hartree–Fock state, while showing that gapless and non-collective excitations
    have only a negligible effect on the ground state energy.
acknowledgement: We thank Christian Hainzl for helpful discussions and a referee for
  very careful reading of the paper and many helpful suggestions. NB and RS were supported
  by the European Research Council (ERC) under the European Union’s Horizon 2020 research
  and innovation programme (grant agreement No. 694227). Part of the research of NB
  was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and
  Peter Otte for explanations about the Luttinger model. PTN has received funding
  from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under
  Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support
  from the European Research Council (ERC) under the European Union’s Horizon 2020
  research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901).
  BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss
  National Science Foundation through the Grant “Dynamical and energetic properties
  of Bose-Einstein condensates” and from the European Research Council through the
  ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for
  workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz
  Association). NB, PTN, BS, and RS acknowledge support for workshop participation
  from Fondation des Treilles.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Niels P
  full_name: Benedikter, Niels P
  id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
  last_name: Benedikter
  orcid: 0000-0002-1071-6091
- first_name: Phan Thành
  full_name: Nam, Phan Thành
  last_name: Nam
- first_name: Marcello
  full_name: Porta, Marcello
  last_name: Porta
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy
    of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979.
    doi:<a href="https://doi.org/10.1007/s00222-021-01041-5">10.1007/s00222-021-01041-5</a>
  apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R.
    (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>.
    Springer. <a href="https://doi.org/10.1007/s00222-021-01041-5">https://doi.org/10.1007/s00222-021-01041-5</a>
  chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
    and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.”
    <i>Inventiones Mathematicae</i>. Springer, 2021. <a href="https://doi.org/10.1007/s00222-021-01041-5">https://doi.org/10.1007/s00222-021-01041-5</a>.
  ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation
    energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol.
    225. Springer, pp. 885–979, 2021.
  ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation
    energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.
  mla: Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi
    Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979,
    doi:<a href="https://doi.org/10.1007/s00222-021-01041-5">10.1007/s00222-021-01041-5</a>.
  short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones
    Mathematicae 225 (2021) 885–979.
date_created: 2020-05-28T16:48:20Z
date_published: 2021-05-03T00:00:00Z
date_updated: 2023-08-21T06:30:30Z
day: '03'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00222-021-01041-5
ec_funded: 1
external_id:
  arxiv:
  - '2005.08933'
  isi:
  - '000646573600001'
file:
- access_level: open_access
  checksum: f38c79dfd828cdc7f49a34b37b83d376
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-16T12:23:40Z
  date_updated: 2022-05-16T12:23:40Z
  file_id: '11386'
  file_name: 2021_InventMath_Benedikter.pdf
  file_size: 1089319
  relation: main_file
  success: 1
file_date_updated: 2022-05-16T12:23:40Z
has_accepted_license: '1'
intvolume: '       225'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 885-979
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Inventiones Mathematicae
publication_identifier:
  eissn:
  - 1432-1297
  issn:
  - 0020-9910
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Correlation energy of a weakly interacting Fermi gas
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: 225
year: '2021'
...
---
_id: '7905'
abstract:
- lang: eng
  text: We investigate a sheaf-theoretic interpretation of stratification learning
    from geometric and topological perspectives. Our main result is the construction
    of stratification learning algorithms framed in terms of a sheaf on a partially
    ordered set with the Alexandroff topology. We prove that the resulting decomposition
    is the unique minimal stratification for which the strata are homogeneous and
    the given sheaf is constructible. In particular, when we choose to work with the
    local homology sheaf, our algorithm gives an alternative to the local homology
    transfer algorithm given in Bendich et al. (Proceedings of the 23rd Annual ACM-SIAM
    Symposium on Discrete Algorithms, pp. 1355–1370, ACM, New York, 2012), and the
    cohomology stratification algorithm given in Nanda (Found. Comput. Math. 20(2),
    195–222, 2020). Additionally, we give examples of stratifications based on the
    geometric techniques of Breiding et al. (Rev. Mat. Complut. 31(3), 545–593, 2018),
    illustrating how the sheaf-theoretic approach can be used to study stratifications
    from both topological and geometric perspectives. This approach also points toward
    future applications of sheaf theory in the study of topological data analysis
    by illustrating the utility of the language of sheaf theory in generalizing existing
    algorithms.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). This work was partially supported by NSF IIS-1513616 and NSF ABI-1661375.
  The authors would like to thank the anonymous referees for their insightful comments.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Adam
  full_name: Brown, Adam
  id: 70B7FDF6-608D-11E9-9333-8535E6697425
  last_name: Brown
- first_name: Bei
  full_name: Wang, Bei
  last_name: Wang
citation:
  ama: Brown A, Wang B. Sheaf-theoretic stratification learning from geometric and
    topological perspectives. <i>Discrete and Computational Geometry</i>. 2021;65:1166-1198.
    doi:<a href="https://doi.org/10.1007/s00454-020-00206-y">10.1007/s00454-020-00206-y</a>
  apa: Brown, A., &#38; Wang, B. (2021). Sheaf-theoretic stratification learning from
    geometric and topological perspectives. <i>Discrete and Computational Geometry</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00454-020-00206-y">https://doi.org/10.1007/s00454-020-00206-y</a>
  chicago: Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from
    Geometric and Topological Perspectives.” <i>Discrete and Computational Geometry</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00454-020-00206-y">https://doi.org/10.1007/s00454-020-00206-y</a>.
  ieee: A. Brown and B. Wang, “Sheaf-theoretic stratification learning from geometric
    and topological perspectives,” <i>Discrete and Computational Geometry</i>, vol.
    65. Springer Nature, pp. 1166–1198, 2021.
  ista: Brown A, Wang B. 2021. Sheaf-theoretic stratification learning from geometric
    and topological perspectives. Discrete and Computational Geometry. 65, 1166–1198.
  mla: Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from Geometric
    and Topological Perspectives.” <i>Discrete and Computational Geometry</i>, vol.
    65, Springer Nature, 2021, pp. 1166–98, doi:<a href="https://doi.org/10.1007/s00454-020-00206-y">10.1007/s00454-020-00206-y</a>.
  short: A. Brown, B. Wang, Discrete and Computational Geometry 65 (2021) 1166–1198.
date_created: 2020-05-30T10:26:04Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2024-03-07T15:01:58Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00206-y
external_id:
  arxiv:
  - '1712.07734'
  isi:
  - '000536324700001'
file:
- access_level: open_access
  checksum: 487a84ea5841b75f04f66d7ebd71b67e
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-25T09:06:41Z
  date_updated: 2020-11-25T09:06:41Z
  file_id: '8803'
  file_name: 2020_DiscreteCompGeometry_Brown.pdf
  file_size: 1013730
  relation: main_file
  success: 1
file_date_updated: 2020-11-25T09:06:41Z
has_accepted_license: '1'
intvolume: '        65'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1166-1198
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Discrete and Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sheaf-theoretic stratification learning from geometric and topological perspectives
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 65
year: '2021'
...
---
_id: '7925'
abstract:
- lang: eng
  text: In this paper, we introduce a relaxed CQ method with alternated inertial step
    for solving split feasibility problems. We give convergence of the sequence generated
    by our method under some suitable assumptions. Some numerical implementations
    from sparse signal and image deblurring are reported to show the efficiency of
    our method.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). The authors are grateful to the referees for their insightful comments
  which have improved the earlier version of the manuscript greatly. The first author
  has received funding from the European Research Council (ERC) under the European
  Union’s Seventh Framework Program (FP7-2007-2013) (Grant agreement No. 616160).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Aviv
  full_name: Gibali, Aviv
  last_name: Gibali
citation:
  ama: Shehu Y, Gibali A. New inertial relaxed method for solving split feasibilities.
    <i>Optimization Letters</i>. 2021;15:2109-2126. doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>
  apa: Shehu, Y., &#38; Gibali, A. (2021). New inertial relaxed method for solving
    split feasibilities. <i>Optimization Letters</i>. Springer Nature. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>
  chicago: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving
    Split Feasibilities.” <i>Optimization Letters</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>.
  ieee: Y. Shehu and A. Gibali, “New inertial relaxed method for solving split feasibilities,”
    <i>Optimization Letters</i>, vol. 15. Springer Nature, pp. 2109–2126, 2021.
  ista: Shehu Y, Gibali A. 2021. New inertial relaxed method for solving split feasibilities.
    Optimization Letters. 15, 2109–2126.
  mla: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving Split
    Feasibilities.” <i>Optimization Letters</i>, vol. 15, Springer Nature, 2021, pp.
    2109–26, doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>.
  short: Y. Shehu, A. Gibali, Optimization Letters 15 (2021) 2109–2126.
date_created: 2020-06-04T11:28:33Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2024-03-07T15:00:43Z
day: '01'
ddc:
- '510'
department:
- _id: VlKo
doi: 10.1007/s11590-020-01603-1
ec_funded: 1
external_id:
  isi:
  - '000537342300001'
file:
- access_level: open_access
  checksum: 63c5f31cd04626152a19f97a2476281b
  content_type: application/pdf
  creator: kschuh
  date_created: 2024-03-07T14:58:51Z
  date_updated: 2024-03-07T14:58:51Z
  file_id: '15089'
  file_name: 2021_OptimizationLetters_Shehu.pdf
  file_size: 2148882
  relation: main_file
  success: 1
file_date_updated: 2024-03-07T14:58:51Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 2109-2126
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Optimization Letters
publication_identifier:
  eissn:
  - 1862-4480
  issn:
  - 1862-4472
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: New inertial relaxed method for solving split feasibilities
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2021'
...
---
_id: '7939'
abstract:
- lang: eng
  text: "We design fast deterministic algorithms for distance computation in the Congested
    Clique model. Our key contributions include:\r\n    A (2+ϵ)-approximation for
    all-pairs shortest paths in O(log2n/ϵ) rounds on unweighted undirected graphs.
    With a small additional additive factor, this also applies for weighted graphs.
    This is the first sub-polynomial constant-factor approximation for APSP in this
    model.\r\n    A (1+ϵ)-approximation for multi-source shortest paths from O(n−−√)
    sources in O(log2n/ϵ) rounds on weighted undirected graphs. This is the first
    sub-polynomial algorithm obtaining this approximation for a set of sources of
    polynomial size.\r\n\r\nOur main techniques are new distance tools that are obtained
    via improved algorithms for sparse matrix multiplication, which we leverage to
    construct efficient hopsets and shortest paths. Furthermore, our techniques extend
    to additional distance problems for which we improve upon the state-of-the-art,
    including diameter approximation, and an exact single-source shortest paths algorithm
    for weighted undirected graphs in O~(n1/6) rounds. "
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). We thank Mohsen Ghaffari, Michael Elkin and Merav Parter for fruitful
  discussions. This project has received funding from the European Union’s Horizon
  2020 Research And Innovation Program under Grant Agreement No. 755839.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Keren
  full_name: Censor-Hillel, Keren
  last_name: Censor-Hillel
- first_name: Michal
  full_name: Dory, Michal
  last_name: Dory
- first_name: Janne
  full_name: Korhonen, Janne
  id: C5402D42-15BC-11E9-A202-CA2BE6697425
  last_name: Korhonen
- first_name: Dean
  full_name: Leitersdorf, Dean
  last_name: Leitersdorf
citation:
  ama: Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. Fast approximate shortest
    paths in the congested clique. <i>Distributed Computing</i>. 2021;34:463-487.
    doi:<a href="https://doi.org/10.1007/s00446-020-00380-5">10.1007/s00446-020-00380-5</a>
  apa: Censor-Hillel, K., Dory, M., Korhonen, J., &#38; Leitersdorf, D. (2021). Fast
    approximate shortest paths in the congested clique. <i>Distributed Computing</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00446-020-00380-5">https://doi.org/10.1007/s00446-020-00380-5</a>
  chicago: Censor-Hillel, Keren, Michal Dory, Janne Korhonen, and Dean Leitersdorf.
    “Fast Approximate Shortest Paths in the Congested Clique.” <i>Distributed Computing</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00446-020-00380-5">https://doi.org/10.1007/s00446-020-00380-5</a>.
  ieee: K. Censor-Hillel, M. Dory, J. Korhonen, and D. Leitersdorf, “Fast approximate
    shortest paths in the congested clique,” <i>Distributed Computing</i>, vol. 34.
    Springer Nature, pp. 463–487, 2021.
  ista: Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. 2021. Fast approximate
    shortest paths in the congested clique. Distributed Computing. 34, 463–487.
  mla: Censor-Hillel, Keren, et al. “Fast Approximate Shortest Paths in the Congested
    Clique.” <i>Distributed Computing</i>, vol. 34, Springer Nature, 2021, pp. 463–87,
    doi:<a href="https://doi.org/10.1007/s00446-020-00380-5">10.1007/s00446-020-00380-5</a>.
  short: K. Censor-Hillel, M. Dory, J. Korhonen, D. Leitersdorf, Distributed Computing
    34 (2021) 463–487.
date_created: 2020-06-07T22:00:54Z
date_published: 2021-12-01T00:00:00Z
date_updated: 2024-03-07T14:43:39Z
day: '01'
department:
- _id: DaAl
doi: 10.1007/s00446-020-00380-5
external_id:
  arxiv:
  - '1903.05956'
  isi:
  - '000556444600001'
intvolume: '        34'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00446-020-00380-5
month: '12'
oa: 1
oa_version: Published Version
page: 463-487
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Distributed Computing
publication_identifier:
  eissn:
  - 1432-0452
  issn:
  - 0178-2770
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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  - id: '6933'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Fast approximate shortest paths in the congested clique
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2021'
...
---
_id: '8196'
abstract:
- lang: eng
  text: This paper aims to obtain a strong convergence result for a Douglas–Rachford
    splitting method with inertial extrapolation step for finding a zero of the sum
    of two set-valued maximal monotone operators without any further assumption of
    uniform monotonicity on any of the involved maximal monotone operators. Furthermore,
    our proposed method is easy to implement and the inertial factor in our proposed
    method is a natural choice. Our method of proof is of independent interest. Finally,
    some numerical implementations are given to confirm the theoretical analysis.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). The project of Yekini Shehu has received funding from the European
  Research Council (ERC) under the European Union’s Seventh Framework Program (FP7—2007–2013)
  (Grant Agreement No. 616160). The authors are grateful to the anonymous referees
  and the handling Editor for their comments and suggestions which have improved the
  earlier version of the manuscript greatly.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Qiao-Li
  full_name: Dong, Qiao-Li
  last_name: Dong
- first_name: Lu-Lu
  full_name: Liu, Lu-Lu
  last_name: Liu
- first_name: Jen-Chih
  full_name: Yao, Jen-Chih
  last_name: Yao
citation:
  ama: Shehu Y, Dong Q-L, Liu L-L, Yao J-C. New strong convergence method for the
    sum of two maximal monotone operators. <i>Optimization and Engineering</i>. 2021;22:2627-2653.
    doi:<a href="https://doi.org/10.1007/s11081-020-09544-5">10.1007/s11081-020-09544-5</a>
  apa: Shehu, Y., Dong, Q.-L., Liu, L.-L., &#38; Yao, J.-C. (2021). New strong convergence
    method for the sum of two maximal monotone operators. <i>Optimization and Engineering</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s11081-020-09544-5">https://doi.org/10.1007/s11081-020-09544-5</a>
  chicago: Shehu, Yekini, Qiao-Li Dong, Lu-Lu Liu, and Jen-Chih Yao. “New Strong Convergence
    Method for the Sum of Two Maximal Monotone Operators.” <i>Optimization and Engineering</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s11081-020-09544-5">https://doi.org/10.1007/s11081-020-09544-5</a>.
  ieee: Y. Shehu, Q.-L. Dong, L.-L. Liu, and J.-C. Yao, “New strong convergence method
    for the sum of two maximal monotone operators,” <i>Optimization and Engineering</i>,
    vol. 22. Springer Nature, pp. 2627–2653, 2021.
  ista: Shehu Y, Dong Q-L, Liu L-L, Yao J-C. 2021. New strong convergence method for
    the sum of two maximal monotone operators. Optimization and Engineering. 22, 2627–2653.
  mla: Shehu, Yekini, et al. “New Strong Convergence Method for the Sum of Two Maximal
    Monotone Operators.” <i>Optimization and Engineering</i>, vol. 22, Springer Nature,
    2021, pp. 2627–53, doi:<a href="https://doi.org/10.1007/s11081-020-09544-5">10.1007/s11081-020-09544-5</a>.
  short: Y. Shehu, Q.-L. Dong, L.-L. Liu, J.-C. Yao, Optimization and Engineering
    22 (2021) 2627–2653.
date_created: 2020-08-03T14:29:57Z
date_published: 2021-02-25T00:00:00Z
date_updated: 2024-03-07T14:39:29Z
day: '25'
ddc:
- '510'
department:
- _id: VlKo
doi: 10.1007/s11081-020-09544-5
ec_funded: 1
external_id:
  isi:
  - '000559345400001'
file:
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  content_type: application/pdf
  creator: dernst
  date_created: 2020-08-03T15:24:39Z
  date_updated: 2020-08-03T15:24:39Z
  file_id: '8197'
  file_name: 2020_OptimizationEngineering_Shehu.pdf
  file_size: 2137860
  relation: main_file
  success: 1
file_date_updated: 2020-08-03T15:24:39Z
has_accepted_license: '1'
intvolume: '        22'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 2627-2653
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Optimization and Engineering
publication_identifier:
  eissn:
  - 1573-2924
  issn:
  - 1389-4420
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: New strong convergence method for the sum of two maximal monotone operators
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '2021'
...
---
_id: '8286'
abstract:
- lang: eng
  text: "We consider the following dynamic load-balancing process: given an underlying
    graph G with n nodes, in each step t≥ 0, one unit of load is created, and placed
    at a randomly chosen graph node. In the same step, the chosen node picks a random
    neighbor, and the two nodes balance their loads by averaging them. We are interested
    in the expected gap between the minimum and maximum loads at nodes as the process
    progresses, and its dependence on n and on the graph structure. Variants of the
    above graphical balanced allocation process have been studied previously by Peres,
    Talwar, and Wieder [Peres et al., 2015], and by Sauerwald and Sun [Sauerwald and
    Sun, 2015]. These authors left as open the question of characterizing the gap
    in the case of cycle graphs in the dynamic case, where weights are created during
    the algorithm’s execution. For this case, the only known upper bound is of \U0001D4AA(n
    log n), following from a majorization argument due to [Peres et al., 2015], which
    analyzes a related graphical allocation process. In this paper, we provide an
    upper bound of \U0001D4AA (√n log n) on the expected gap of the above process
    for cycles of length n. We introduce a new potential analysis technique, which
    enables us to bound the difference in load between k-hop neighbors on the cycle,
    for any k ≤ n/2. We complement this with a \"gap covering\" argument, which bounds
    the maximum value of the gap by bounding its value across all possible subsets
    of a certain structure, and recursively bounding the gaps within each subset.
    We provide analytical and experimental evidence that our upper bound on the gap
    is tight up to a logarithmic factor. "
acknowledgement: The authors sincerely thank Thomas Sauerwald and George Giakkoupis
  for insightful discussions, and Mohsen Ghaffari, Yuval Peres, and Udi Wieder for
  feedback on earlier versions of this draft. We also thank the ICALP anonymous reviewers
  for their very useful comments. Open access funding provided by Institute of Science
  and Technology (IST Austria). Funding was provided by European Research Council
  (Grant No. PR1042ERC01).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
- first_name: Giorgi
  full_name: Nadiradze, Giorgi
  id: 3279A00C-F248-11E8-B48F-1D18A9856A87
  last_name: Nadiradze
  orcid: 0000-0001-5634-0731
- first_name: Amirmojtaba
  full_name: Sabour, Amirmojtaba
  id: bcc145fd-e77f-11ea-ae8b-80d661dbff67
  last_name: Sabour
citation:
  ama: Alistarh D-A, Nadiradze G, Sabour A. Dynamic averaging load balancing on cycles.
    <i>Algorithmica</i>. 2021. doi:<a href="https://doi.org/10.1007/s00453-021-00905-9">10.1007/s00453-021-00905-9</a>
  apa: 'Alistarh, D.-A., Nadiradze, G., &#38; Sabour, A. (2021). Dynamic averaging
    load balancing on cycles. <i>Algorithmica</i>. Virtual, Online; Germany: Springer
    Nature. <a href="https://doi.org/10.1007/s00453-021-00905-9">https://doi.org/10.1007/s00453-021-00905-9</a>'
  chicago: Alistarh, Dan-Adrian, Giorgi Nadiradze, and Amirmojtaba Sabour. “Dynamic
    Averaging Load Balancing on Cycles.” <i>Algorithmica</i>. Springer Nature, 2021.
    <a href="https://doi.org/10.1007/s00453-021-00905-9">https://doi.org/10.1007/s00453-021-00905-9</a>.
  ieee: D.-A. Alistarh, G. Nadiradze, and A. Sabour, “Dynamic averaging load balancing
    on cycles,” <i>Algorithmica</i>. Springer Nature, 2021.
  ista: Alistarh D-A, Nadiradze G, Sabour A. 2021. Dynamic averaging load balancing
    on cycles. Algorithmica.
  mla: Alistarh, Dan-Adrian, et al. “Dynamic Averaging Load Balancing on Cycles.”
    <i>Algorithmica</i>, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s00453-021-00905-9">10.1007/s00453-021-00905-9</a>.
  short: D.-A. Alistarh, G. Nadiradze, A. Sabour, Algorithmica (2021).
conference:
  end_date: 2020-07-11
  location: Virtual, Online; Germany
  name: 'ICALP: International Colloquium on Automata, Languages, and Programming '
  start_date: 2020-07-08
date_created: 2020-08-24T06:24:04Z
date_published: 2021-12-24T00:00:00Z
date_updated: 2024-03-05T07:35:53Z
day: '24'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.1007/s00453-021-00905-9
ec_funded: 1
external_id:
  arxiv:
  - '2003.09297'
  isi:
  - '000734004600001'
file:
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  creator: cchlebak
  date_created: 2021-12-27T10:36:40Z
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  file_size: 525950
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  success: 1
file_date_updated: 2021-12-27T10:36:40Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Algorithmica
publication_identifier:
  eissn:
  - 1432-0541
  issn:
  - 0178-4617
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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    url: https://doi.org/10.4230/LIPIcs.ICALP.2020.7
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scopus_import: '1'
status: public
title: Dynamic averaging load balancing on cycles
tmp:
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  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
year: '2021'
...
---
_id: '8601'
abstract:
- lang: eng
  text: We consider large non-Hermitian real or complex random matrices X with independent,
    identically distributed centred entries. We prove that their local eigenvalue
    statistics near the spectral edge, the unit circle, coincide with those of the
    Ginibre ensemble, i.e. when the matrix elements of X are Gaussian. This result
    is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution
    at the spectral edges of the Wigner ensemble.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Giorgio
  full_name: Cipolloni, Giorgio
  id: 42198EFA-F248-11E8-B48F-1D18A9856A87
  last_name: Cipolloni
  orcid: 0000-0002-4901-7992
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Dominik J
  full_name: Schröder, Dominik J
  id: 408ED176-F248-11E8-B48F-1D18A9856A87
  last_name: Schröder
  orcid: 0000-0002-2904-1856
citation:
  ama: Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random
    matrices. <i>Probability Theory and Related Fields</i>. 2021. doi:<a href="https://doi.org/10.1007/s00440-020-01003-7">10.1007/s00440-020-01003-7</a>
  apa: Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2021). Edge universality for
    non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00440-020-01003-7">https://doi.org/10.1007/s00440-020-01003-7</a>
  chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Edge Universality
    for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00440-020-01003-7">https://doi.org/10.1007/s00440-020-01003-7</a>.
  ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Edge universality for non-Hermitian
    random matrices,” <i>Probability Theory and Related Fields</i>. Springer Nature,
    2021.
  ista: Cipolloni G, Erdös L, Schröder DJ. 2021. Edge universality for non-Hermitian
    random matrices. Probability Theory and Related Fields.
  mla: Cipolloni, Giorgio, et al. “Edge Universality for Non-Hermitian Random Matrices.”
    <i>Probability Theory and Related Fields</i>, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s00440-020-01003-7">10.1007/s00440-020-01003-7</a>.
  short: G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields
    (2021).
date_created: 2020-10-04T22:01:37Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2024-03-07T15:07:53Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s00440-020-01003-7
ec_funded: 1
external_id:
  arxiv:
  - '1908.00969'
  isi:
  - '000572724600002'
file:
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  checksum: 611ae28d6055e1e298d53a57beb05ef4
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  date_created: 2020-10-05T14:53:40Z
  date_updated: 2020-10-05T14:53:40Z
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  file_size: 497032
  relation: main_file
  success: 1
file_date_updated: 2020-10-05T14:53:40Z
has_accepted_license: '1'
isi: 1
language:
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month: '02'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: Probability Theory and Related Fields
publication_identifier:
  eissn:
  - '14322064'
  issn:
  - '01788051'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Edge universality for non-Hermitian random matrices
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '8816'
abstract:
- lang: eng
  text: Area-dependent quantum field theory is a modification of two-dimensional topological
    quantum field theory, where one equips each connected component of a bordism with
    a positive real number—interpreted as area—which behaves additively under glueing.
    As opposed to topological theories, in area-dependent theories the state spaces
    can be infinite-dimensional. We introduce the notion of regularised Frobenius
    algebras in Hilbert spaces and show that area-dependent theories are in one-to-one
    correspondence to commutative regularised Frobenius algebras. We also provide
    a state sum construction for area-dependent theories. Our main example is two-dimensional
    Yang–Mills theory with compact gauge group, which we treat in detail.
acknowledgement: The authors thank Yuki Arano, Nils Carqueville, Alexei Davydov, Reiner
  Lauterbach, Pau Enrique Moliner, Chris Heunen, André Henriques, Ehud Meir, Catherine
  Meusburger, Gregor Schaumann, Richard Szabo and Stefan Wagner for helpful discussions
  and comments. We also thank the referees for their detailed comments which significantly
  improved the exposition of this paper. LS is supported by the DFG Research Training
  Group 1670 “Mathematics Inspired by String Theory and Quantum Field Theory”. Open
  access funding provided by Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Ingo
  full_name: Runkel, Ingo
  last_name: Runkel
- first_name: Lorant
  full_name: Szegedy, Lorant
  id: 7943226E-220E-11EA-94C7-D59F3DDC885E
  last_name: Szegedy
  orcid: 0000-0003-2834-5054
citation:
  ama: Runkel I, Szegedy L. Area-dependent quantum field theory. <i>Communications
    in Mathematical Physics</i>. 2021;381(1):83–117. doi:<a href="https://doi.org/10.1007/s00220-020-03902-1">10.1007/s00220-020-03902-1</a>
  apa: Runkel, I., &#38; Szegedy, L. (2021). Area-dependent quantum field theory.
    <i>Communications in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s00220-020-03902-1">https://doi.org/10.1007/s00220-020-03902-1</a>
  chicago: Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.”
    <i>Communications in Mathematical Physics</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00220-020-03902-1">https://doi.org/10.1007/s00220-020-03902-1</a>.
  ieee: I. Runkel and L. Szegedy, “Area-dependent quantum field theory,” <i>Communications
    in Mathematical Physics</i>, vol. 381, no. 1. Springer Nature, pp. 83–117, 2021.
  ista: Runkel I, Szegedy L. 2021. Area-dependent quantum field theory. Communications
    in Mathematical Physics. 381(1), 83–117.
  mla: Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.” <i>Communications
    in Mathematical Physics</i>, vol. 381, no. 1, Springer Nature, 2021, pp. 83–117,
    doi:<a href="https://doi.org/10.1007/s00220-020-03902-1">10.1007/s00220-020-03902-1</a>.
  short: I. Runkel, L. Szegedy, Communications in Mathematical Physics 381 (2021)
    83–117.
date_created: 2020-11-29T23:01:17Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:13:35Z
day: '01'
ddc:
- '510'
department:
- _id: MiLe
doi: 10.1007/s00220-020-03902-1
external_id:
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  - '000591139000001'
file:
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  date_updated: 2021-02-03T15:00:30Z
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intvolume: '       381'
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issue: '1'
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- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 83–117
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Communications in Mathematical Physics
publication_identifier:
  eissn:
  - '14320916'
  issn:
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Area-dependent quantum field theory
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  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 381
year: '2021'
...
---
_id: '9121'
abstract:
- lang: eng
  text: "We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin
    the low density limit μ→0. Together with the similar result for the critical temperature
    by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in
    the low density limit, the ratio of the energy gap and critical temperature is
    a universal constant independent of the interaction potential V. The results hold
    for a class of potentials with negative scattering length a and no bound states."
acknowledgement: "Most of this work was done as part of the author’s master’s thesis.
  The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen
  Access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Asbjørn Bækgaard
  full_name: Lauritsen, Asbjørn Bækgaard
  id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
  last_name: Lauritsen
  orcid: 0000-0003-4476-2288
citation:
  ama: Lauritsen AB. The BCS energy gap at low density. <i>Letters in Mathematical
    Physics</i>. 2021;111. doi:<a href="https://doi.org/10.1007/s11005-021-01358-5">10.1007/s11005-021-01358-5</a>
  apa: Lauritsen, A. B. (2021). The BCS energy gap at low density. <i>Letters in Mathematical
    Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-021-01358-5">https://doi.org/10.1007/s11005-021-01358-5</a>
  chicago: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters
    in Mathematical Physics</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11005-021-01358-5">https://doi.org/10.1007/s11005-021-01358-5</a>.
  ieee: A. B. Lauritsen, “The BCS energy gap at low density,” <i>Letters in Mathematical
    Physics</i>, vol. 111. Springer Nature, 2021.
  ista: Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical
    Physics. 111, 20.
  mla: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters
    in Mathematical Physics</i>, vol. 111, 20, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s11005-021-01358-5">10.1007/s11005-021-01358-5</a>.
  short: A.B. Lauritsen, Letters in Mathematical Physics 111 (2021).
date_created: 2021-02-15T09:27:14Z
date_published: 2021-02-12T00:00:00Z
date_updated: 2023-09-05T15:17:16Z
day: '12'
ddc:
- '510'
department:
- _id: GradSch
doi: 10.1007/s11005-021-01358-5
external_id:
  isi:
  - '000617531900001'
file:
- access_level: open_access
  checksum: eaf1b3ff5026f120f0929a5c417dc842
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has_accepted_license: '1'
intvolume: '       111'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
  eissn:
  - 1573-0530
  issn:
  - 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: The BCS energy gap at low density
tmp:
  image: /images/cc_by.png
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 111
year: '2021'
...
---
_id: '9158'
abstract:
- lang: eng
  text: While several tools have been developed to study the ground state of many-body
    quantum spin systems, the limitations of existing techniques call for the exploration
    of new approaches. In this manuscript we develop an alternative analytical and
    numerical framework for many-body quantum spin ground states, based on the disentanglement
    formalism. In this approach, observables are exactly expressed as Gaussian-weighted
    functional integrals over scalar fields. We identify the leading contribution
    to these integrals, given by the saddle point of a suitable effective action.
    Analytically, we develop a field-theoretical expansion of the functional integrals,
    performed by means of appropriate Feynman rules. The expansion can be truncated
    to a desired order to obtain analytical approximations to observables. Numerically,
    we show that the disentanglement approach can be used to compute ground state
    expectation values from classical stochastic processes. While the associated fluctuations
    grow exponentially with imaginary time and the system size, this growth can be
    mitigated by means of an importance sampling scheme based on knowledge of the
    saddle point configuration. We illustrate the advantages and limitations of our
    methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions.
    Our analytical and numerical approaches are applicable to a broad class of systems,
    bridging concepts from quantum lattice models, continuum field theory, and classical
    stochastic processes.
acknowledgement: "S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev,
  A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating
  conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology
  (IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation
  program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N
  also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary
  Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D
  N is grateful to IST\r\nAustria for providing open access funding."
article_number: '013101'
article_processing_charge: No
article_type: original
author:
- first_name: Stefano
  full_name: De Nicola, Stefano
  id: 42832B76-F248-11E8-B48F-1D18A9856A87
  last_name: De Nicola
  orcid: 0000-0002-4842-6671
citation:
  ama: 'De Nicola S. Disentanglement approach to quantum spin ground states: Field
    theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory
    and Experiment</i>. 2021;2021(1). doi:<a href="https://doi.org/10.1088/1742-5468/abc7c7">10.1088/1742-5468/abc7c7</a>'
  apa: 'De Nicola, S. (2021). Disentanglement approach to quantum spin ground states:
    Field theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory
    and Experiment</i>. IOP Publishing. <a href="https://doi.org/10.1088/1742-5468/abc7c7">https://doi.org/10.1088/1742-5468/abc7c7</a>'
  chicago: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
    Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics:
    Theory and Experiment</i>. IOP Publishing, 2021. <a href="https://doi.org/10.1088/1742-5468/abc7c7">https://doi.org/10.1088/1742-5468/abc7c7</a>.'
  ieee: 'S. De Nicola, “Disentanglement approach to quantum spin ground states: Field
    theory and stochastic simulation,” <i>Journal of Statistical Mechanics: Theory
    and Experiment</i>, vol. 2021, no. 1. IOP Publishing, 2021.'
  ista: 'De Nicola S. 2021. Disentanglement approach to quantum spin ground states:
    Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory
    and Experiment. 2021(1), 013101.'
  mla: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
    Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics:
    Theory and Experiment</i>, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:<a
    href="https://doi.org/10.1088/1742-5468/abc7c7">10.1088/1742-5468/abc7c7</a>.'
  short: 'S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021
    (2021).'
date_created: 2021-02-17T17:48:46Z
date_published: 2021-01-05T00:00:00Z
date_updated: 2023-08-07T13:46:28Z
day: '05'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1088/1742-5468/abc7c7
ec_funded: 1
external_id:
  isi:
  - '000605080300001'
file:
- access_level: open_access
  checksum: 64e2aae4837790db26e1dd1986c69c07
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  creator: dernst
  date_created: 2021-02-19T14:04:40Z
  date_updated: 2021-02-19T14:04:40Z
  file_id: '9172'
  file_name: 2021_JourStatMech_deNicola.pdf
  file_size: 1693609
  relation: main_file
  success: 1
file_date_updated: 2021-02-19T14:04:40Z
has_accepted_license: '1'
intvolume: '      2021'
isi: 1
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
  issn:
  - 1742-5468
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: 'Disentanglement approach to quantum spin ground states: Field theory and stochastic
  simulation'
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  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2021
year: '2021'
...
