---
_id: '10879'
abstract:
- lang: eng
  text: We study effects of a bounded and compactly supported perturbation on multidimensional
    continuum random Schrödinger operators in the region of complete localisation.
    Our main emphasis is on Anderson orthogonality for random Schrödinger operators.
    Among others, we prove that Anderson orthogonality does occur for Fermi energies
    in the region of complete localisation with a non-zero probability. This partially
    confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015),
    560–565]. The spectral shift function plays an important role in our analysis
    of Anderson orthogonality. We identify it with the index of the corresponding
    pair of spectral projections and explore the consequences thereof. All our results
    rely on the main technical estimate of this paper which guarantees separate exponential
    decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b.
    Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication
    operator corresponding to the indicator function of a unit cube centred about
    a∈Rd, and f is in a suitable class of functions of bounded variation with distributional
    derivative supported in the region of complete localisation for H.
acknowledgement: M.G. was supported by the DFG under grant GE 2871/1-1.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Adrian M
  full_name: Dietlein, Adrian M
  id: 317CB464-F248-11E8-B48F-1D18A9856A87
  last_name: Dietlein
- first_name: Martin
  full_name: Gebert, Martin
  last_name: Gebert
- first_name: Peter
  full_name: Müller, Peter
  last_name: Müller
citation:
  ama: Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger
    operators with applications to Anderson orthogonality and the spectral shift function.
    <i>Journal of Spectral Theory</i>. 2019;9(3):921-965. doi:<a href="https://doi.org/10.4171/jst/267">10.4171/jst/267</a>
  apa: Dietlein, A. M., Gebert, M., &#38; Müller, P. (2019). Perturbations of continuum
    random Schrödinger operators with applications to Anderson orthogonality and the
    spectral shift function. <i>Journal of Spectral Theory</i>. European Mathematical
    Society Publishing House. <a href="https://doi.org/10.4171/jst/267">https://doi.org/10.4171/jst/267</a>
  chicago: Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of
    Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality
    and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>. European
    Mathematical Society Publishing House, 2019. <a href="https://doi.org/10.4171/jst/267">https://doi.org/10.4171/jst/267</a>.
  ieee: A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random
    Schrödinger operators with applications to Anderson orthogonality and the spectral
    shift function,” <i>Journal of Spectral Theory</i>, vol. 9, no. 3. European Mathematical
    Society Publishing House, pp. 921–965, 2019.
  ista: Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger
    operators with applications to Anderson orthogonality and the spectral shift function.
    Journal of Spectral Theory. 9(3), 921–965.
  mla: Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger
    Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.”
    <i>Journal of Spectral Theory</i>, vol. 9, no. 3, European Mathematical Society
    Publishing House, 2019, pp. 921–65, doi:<a href="https://doi.org/10.4171/jst/267">10.4171/jst/267</a>.
  short: A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019)
    921–965.
date_created: 2022-03-18T12:36:42Z
date_published: 2019-03-01T00:00:00Z
date_updated: 2023-09-08T11:35:31Z
day: '01'
department:
- _id: LaEr
doi: 10.4171/jst/267
external_id:
  arxiv:
  - '1701.02956'
  isi:
  - '000484709400006'
intvolume: '         9'
isi: 1
issue: '3'
keyword:
- Random Schrödinger operators
- spectral shift function
- Anderson orthogonality
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1701.02956
month: '03'
oa: 1
oa_version: Preprint
page: 921-965
publication: Journal of Spectral Theory
publication_identifier:
  issn:
  - 1664-039X
publication_status: published
publisher: European Mathematical Society Publishing House
quality_controlled: '1'
scopus_import: '1'
status: public
title: Perturbations of continuum random Schrödinger operators with applications to
  Anderson orthogonality and the spectral shift function
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 9
year: '2019'
...
---
_id: '11222'
acknowledgement: This work was supported by the ERC and EU Horizon 2020 (ERC 692692;
  MSC-IF 708497) and FWF Z 312-B27 Wittgenstein award; W 1205-B09).
article_number: A3.27
article_processing_charge: No
author:
- first_name: Olena
  full_name: Kim, Olena
  id: 3F8ABDDA-F248-11E8-B48F-1D18A9856A87
  last_name: Kim
- first_name: Carolina
  full_name: Borges Merjane, Carolina
  id: 4305C450-F248-11E8-B48F-1D18A9856A87
  last_name: Borges Merjane
  orcid: 0000-0003-0005-401X
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: 'Kim O, Borges Merjane C, Jonas PM. Functional analysis of the docked vesicle
    pool in hippocampal mossy fiber terminals by electron microscopy. In: <i>Intrinsic
    Activity</i>. Vol 7. Austrian Pharmacological Society; 2019. doi:<a href="https://doi.org/10.25006/ia.7.s1-a3.27">10.25006/ia.7.s1-a3.27</a>'
  apa: 'Kim, O., Borges Merjane, C., &#38; Jonas, P. M. (2019). Functional analysis
    of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy.
    In <i>Intrinsic Activity</i> (Vol. 7). Innsbruck, Austria: Austrian Pharmacological
    Society. <a href="https://doi.org/10.25006/ia.7.s1-a3.27">https://doi.org/10.25006/ia.7.s1-a3.27</a>'
  chicago: Kim, Olena, Carolina Borges Merjane, and Peter M Jonas. “Functional Analysis
    of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.”
    In <i>Intrinsic Activity</i>, Vol. 7. Austrian Pharmacological Society, 2019.
    <a href="https://doi.org/10.25006/ia.7.s1-a3.27">https://doi.org/10.25006/ia.7.s1-a3.27</a>.
  ieee: O. Kim, C. Borges Merjane, and P. M. Jonas, “Functional analysis of the docked
    vesicle pool in hippocampal mossy fiber terminals by electron microscopy,” in
    <i>Intrinsic Activity</i>, Innsbruck, Austria, 2019, vol. 7, no. Suppl. 1.
  ista: 'Kim O, Borges Merjane C, Jonas PM. 2019. Functional analysis of the docked
    vesicle pool in hippocampal mossy fiber terminals by electron microscopy. Intrinsic
    Activity. ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological
    Society vol. 7, A3.27.'
  mla: Kim, Olena, et al. “Functional Analysis of the Docked Vesicle Pool in Hippocampal
    Mossy Fiber Terminals by Electron Microscopy.” <i>Intrinsic Activity</i>, vol.
    7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:<a href="https://doi.org/10.25006/ia.7.s1-a3.27">10.25006/ia.7.s1-a3.27</a>.
  short: O. Kim, C. Borges Merjane, P.M. Jonas, in:, Intrinsic Activity, Austrian
    Pharmacological Society, 2019.
conference:
  end_date: 2019-09-27
  location: Innsbruck, Austria
  name: 'ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological
    Society'
  start_date: 2019-09-25
date_created: 2022-04-20T15:06:05Z
date_published: 2019-09-11T00:00:00Z
date_updated: 2024-03-25T23:30:04Z
day: '11'
department:
- _id: PeJo
doi: 10.25006/ia.7.s1-a3.27
ec_funded: 1
intvolume: '         7'
issue: Suppl. 1
keyword:
- hippocampus
- mossy fibers
- readily releasable pool
- electron microscopy
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.intrinsicactivity.org/2019/7/S1/A3.27/
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25B7EB9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '692692'
  name: Biophysics and circuit function of a giant cortical glumatergic synapse
- _id: 25BAF7B2-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '708497'
  name: Presynaptic calcium channels distribution and impact on coupling at the hippocampal
    mossy fiber synapse
- _id: 25C3DBB6-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W01205
  name: Zellkommunikation in Gesundheit und Krankheit
- _id: 25C5A090-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00312
  name: The Wittgenstein Prize
publication: Intrinsic Activity
publication_identifier:
  issn:
  - 2309-8503
publication_status: published
publisher: Austrian Pharmacological Society
quality_controlled: '1'
related_material:
  record:
  - id: '11196'
    relation: dissertation_contains
    status: public
status: public
title: Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals
  by electron microscopy
type: conference_abstract
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 7
year: '2019'
...
---
_id: '7950'
abstract:
- lang: eng
  text: "The input to the token swapping problem is a graph with vertices v1, v2,
    . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex.  The
    goal is to get token i to vertex vi for all i= 1, . . . , n using a minimum number
    of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token
    swapping on a tree, also known as “sorting with a transposition tree,” is not
    known to be in P nor NP-complete.  We present some partial results:\r\n1.  An
    optimum swap sequence may need to perform a swap on a leaf vertex that has the
    correct token (a “happy leaf”), disproving a conjecture of Vaughan.\r\n2.  Any
    algorithm that fixes happy leaves—as all known approximation algorithms for the
    problem do—has approximation factor at least 4/3.  Furthermore, the two best-known
    2-approximation algorithms have approximation factor exactly 2.\r\n3.  A generalized
    problem—weighted coloured token swapping—is NP-complete on trees, but solvable
    in polynomial time on paths and stars.  In this version, tokens and  vertices
    \ have  colours,  and  colours  have  weights.   The  goal  is  to  get  every
    token to a vertex of the same colour, and the cost of a swap is the sum of the
    weights of the two tokens involved."
article_number: '1903.06981'
article_processing_charge: No
arxiv: 1
author:
- first_name: Ahmad
  full_name: Biniaz, Ahmad
  last_name: Biniaz
- first_name: Kshitij
  full_name: Jain, Kshitij
  last_name: Jain
- first_name: Anna
  full_name: Lubiw, Anna
  last_name: Lubiw
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Tillmann
  full_name: Miltzow, Tillmann
  last_name: Miltzow
- first_name: Debajyoti
  full_name: Mondal, Debajyoti
  last_name: Mondal
- first_name: Anurag Murty
  full_name: Naredla, Anurag Murty
  last_name: Naredla
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Alexi
  full_name: Turcotte, Alexi
  last_name: Turcotte
citation:
  ama: Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>arXiv</i>.
  apa: Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte,
    A. (n.d.). Token swapping on trees. <i>arXiv</i>.
  chicago: Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow,
    Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token
    Swapping on Trees.” <i>ArXiv</i>, n.d.
  ieee: A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>arXiv</i>. .
  ista: Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec
    J, Turcotte A. Token swapping on trees. arXiv, 1903.06981.
  mla: Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>ArXiv</i>, 1903.06981.
  short: A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla,
    J. Tkadlec, A. Turcotte, ArXiv (n.d.).
date_created: 2020-06-08T12:25:25Z
date_published: 2019-03-16T00:00:00Z
date_updated: 2024-01-04T12:42:08Z
day: '16'
department:
- _id: HeEd
- _id: UlWa
- _id: KrCh
external_id:
  arxiv:
  - '1903.06981'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1903.06981
month: '03'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '7944'
    relation: dissertation_contains
    status: public
  - id: '12833'
    relation: later_version
    status: public
status: public
title: Token swapping on trees
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '8'
abstract:
- lang: eng
  text: Despite their different origins, Drosophila glia and hemocytes are related
    cell populations that provide an immune function. Drosophila hemocytes patrol
    the body cavity and act as macrophages outside the nervous system whereas glia
    originate from the neuroepithelium and provide the scavenger population of the
    nervous system. Drosophila glia are hence the functional orthologs of vertebrate
    microglia, even though the latter are cells of immune origin that subsequently
    move into the brain during development. Interestingly, the Drosophila immune cells
    within (glia) and outside the nervous system (hemocytes) require the same transcription
    factor Glide/Gcm for their development. This raises the issue of how do glia specifically
    differentiate in the nervous system and hemocytes in the procephalic mesoderm.
    The Repo homeodomain transcription factor and pan-glial direct target of Glide/Gcm
    is known to ensure glial terminal differentiation. Here we show that Repo also
    takes center stage in the process that discriminates between glia and hemocytes.
    First, Repo expression is repressed in the hemocyte anlagen by mesoderm-specific
    factors. Second, Repo ectopic activation in the procephalic mesoderm is sufficient
    to repress the expression of hemocyte-specific genes. Third, the lack of Repo
    triggers the expression of hemocyte markers in glia. Thus, a complex network of
    tissue-specific cues biases the potential of Glide/Gcm. These data allow us to
    revise the concept of fate determinants and help us understand the bases of cell
    specification. Both sexes were analyzed.SIGNIFICANCE STATEMENTDistinct cell types
    often require the same pioneer transcription factor, raising the issue of how
    does one factor trigger different fates. In Drosophila, glia and hemocytes provide
    a scavenger activity within and outside the nervous system, respectively. While
    they both require the Glide/Gcm transcription factor, glia originate from the
    ectoderm, hemocytes from the mesoderm. Here we show that tissue-specific factors
    inhibit the gliogenic potential of Glide/Gcm in the mesoderm by repressing the
    expression of the homeodomain protein Repo, a major glial-specific target of Glide/Gcm.
    Repo expression in turn inhibits the expression of hemocyte-specific genes in
    the nervous system. These cell-specific networks secure the establishment of the
    glial fate only in the nervous system and allow cell diversification.
acknowledgement: This work was supported by INSERM, CNRS, UDS, Ligue Régionale contre
  le Cancer, Hôpital de Strasbourg, Association pour la Recherche sur le Cancer (ARC)
  and Agence Nationale de la Recherche (ANR) grants. P.B.C. was funded by the ANR
  and by the ARSEP (Fondation pour l'Aide à la Recherche sur la Sclérose en Plaques),
  and G.T. by governmental and ARC fellowships. This work was also supported by grants
  from the Ataxia UK (2491) and the NC3R (NC/L000199/1) awarded to M.F. The Institut
  de Génétique et de Biologie Moléculaire et Cellulaire was also supported by a French
  state fund through the ANR labex. D.E.S. was funded by Marie Curie Grant CIG 334077/IRTIM.
  We thank B. Altenhein, K. Brückner, M. Crozatier, L. Waltzer, M. Logan, E. Kurant,
  R. Reuter, E. Kurucz, J.L Dimarcq, J. Hoffmann, C. Goodman, the DHSB, and the BDSC
  for reagents and flies. We also thank all of the laboratory members for comments
  on the manuscript; C. Diebold, C. Delaporte, M. Pezze, the fly, and imaging and
  antibody facilities for technical assistance; and D. Dembele for help with statistics.
  In addition, we thank Alison Brewer for help with Luciferase assays.
article_processing_charge: No
article_type: original
author:
- first_name: Guillaume
  full_name: Trébuchet, Guillaume
  last_name: Trébuchet
- first_name: Pierre B
  full_name: Cattenoz, Pierre B
  last_name: Cattenoz
- first_name: János
  full_name: Zsámboki, János
  last_name: Zsámboki
- first_name: David
  full_name: Mazaud, David
  last_name: Mazaud
- first_name: Daria E
  full_name: Siekhaus, Daria E
  id: 3D224B9E-F248-11E8-B48F-1D18A9856A87
  last_name: Siekhaus
  orcid: 0000-0001-8323-8353
- first_name: Manolis
  full_name: Fanto, Manolis
  last_name: Fanto
- first_name: Angela
  full_name: Giangrande, Angela
  last_name: Giangrande
citation:
  ama: Trébuchet G, Cattenoz PB, Zsámboki J, et al. The Repo homeodomain transcription
    factor suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal
    of Neuroscience</i>. 2019;39(2):238-255. doi:<a href="https://doi.org/10.1523/JNEUROSCI.1059-18.2018">10.1523/JNEUROSCI.1059-18.2018</a>
  apa: Trébuchet, G., Cattenoz, P. B., Zsámboki, J., Mazaud, D., Siekhaus, D. E.,
    Fanto, M., &#38; Giangrande, A. (2019). The Repo homeodomain transcription factor
    suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal
    of Neuroscience</i>. Society for Neuroscience. <a href="https://doi.org/10.1523/JNEUROSCI.1059-18.2018">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>
  chicago: Trébuchet, Guillaume, Pierre B Cattenoz, János Zsámboki, David Mazaud,
    Daria E Siekhaus, Manolis Fanto, and Angela Giangrande. “The Repo Homeodomain
    Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the
    Glial Fate.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2019. <a
    href="https://doi.org/10.1523/JNEUROSCI.1059-18.2018">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>.
  ieee: G. Trébuchet <i>et al.</i>, “The Repo homeodomain transcription factor suppresses
    hematopoiesis in Drosophila and preserves the glial fate,” <i>Journal of Neuroscience</i>,
    vol. 39, no. 2. Society for Neuroscience, pp. 238–255, 2019.
  ista: Trébuchet G, Cattenoz PB, Zsámboki J, Mazaud D, Siekhaus DE, Fanto M, Giangrande
    A. 2019. The Repo homeodomain transcription factor suppresses hematopoiesis in
    Drosophila and preserves the glial fate. Journal of Neuroscience. 39(2), 238–255.
  mla: Trébuchet, Guillaume, et al. “The Repo Homeodomain Transcription Factor Suppresses
    Hematopoiesis in Drosophila and Preserves the Glial Fate.” <i>Journal of Neuroscience</i>,
    vol. 39, no. 2, Society for Neuroscience, 2019, pp. 238–55, doi:<a href="https://doi.org/10.1523/JNEUROSCI.1059-18.2018">10.1523/JNEUROSCI.1059-18.2018</a>.
  short: G. Trébuchet, P.B. Cattenoz, J. Zsámboki, D. Mazaud, D.E. Siekhaus, M. Fanto,
    A. Giangrande, Journal of Neuroscience 39 (2019) 238–255.
date_created: 2018-12-11T11:44:07Z
date_published: 2019-01-09T00:00:00Z
date_updated: 2023-09-19T10:10:55Z
day: '09'
ddc:
- '570'
department:
- _id: DaSi
doi: 10.1523/JNEUROSCI.1059-18.2018
ec_funded: 1
external_id:
  isi:
  - '000455189900006'
  pmid:
  - '30504274'
file:
- access_level: open_access
  checksum: 8f6925eb4cd1e8747d8ea25929c68de6
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-02T09:33:28Z
  date_updated: 2020-10-02T09:33:28Z
  file_id: '8596'
  file_name: 2019_JournNeuroscience_Trebuchet.pdf
  file_size: 9455414
  relation: main_file
  success: 1
file_date_updated: 2020-10-02T09:33:28Z
has_accepted_license: '1'
intvolume: '        39'
isi: 1
issue: '2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 238-255
pmid: 1
project:
- _id: 2536F660-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '334077'
  name: Investigating the role of transporters in invasive migration through junctions
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '8048'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila
  and preserves the glial fate
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 39
year: '2019'
...
---
_id: '80'
abstract:
- lang: eng
  text: 'We consider an interacting, dilute Bose gas trapped in a harmonic potential
    at a positive temperature. The system is analyzed in a combination of a thermodynamic
    and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature
    T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering
    length is so small that the interaction energy per particle around the center
    of the trap is of the same order of magnitude as the spectral gap in the trap.
    We prove that the difference between the canonical free energy of the interacting
    gas and the one of the noninteracting system can be obtained by minimizing the
    GP energy functional. We also prove Bose–Einstein condensation in the following
    sense: The one-particle density matrix of any approximate minimizer of the canonical
    free energy functional is to leading order given by that of the noninteracting
    gas but with the free condensate wavefunction replaced by the GP minimizer.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Andreas
  full_name: Deuchert, Andreas
  id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
  last_name: Deuchert
  orcid: 0000-0003-3146-6746
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute,
    trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>.
    2019;368(2):723-776. doi:<a href="https://doi.org/10.1007/s00220-018-3239-0">10.1007/s00220-018-3239-0</a>
  apa: Deuchert, A., Seiringer, R., &#38; Yngvason, J. (2019). Bose–Einstein condensation
    in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical
    Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-018-3239-0">https://doi.org/10.1007/s00220-018-3239-0</a>
  chicago: Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein
    Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications
    in Mathematical Physics</i>. Springer, 2019. <a href="https://doi.org/10.1007/s00220-018-3239-0">https://doi.org/10.1007/s00220-018-3239-0</a>.
  ieee: A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in
    a dilute, trapped gas at positive temperature,” <i>Communications in Mathematical
    Physics</i>, vol. 368, no. 2. Springer, pp. 723–776, 2019.
  ista: Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a
    dilute, trapped gas at positive temperature. Communications in Mathematical Physics.
    368(2), 723–776.
  mla: Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped
    Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>, vol.
    368, no. 2, Springer, 2019, pp. 723–76, doi:<a href="https://doi.org/10.1007/s00220-018-3239-0">10.1007/s00220-018-3239-0</a>.
  short: A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics
    368 (2019) 723–776.
date_created: 2018-12-11T11:44:31Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2023-08-24T14:27:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-018-3239-0
ec_funded: 1
external_id:
  isi:
  - '000467796800007'
file:
- access_level: open_access
  checksum: c7e9880b43ac726712c1365e9f2f73a6
  content_type: application/pdf
  creator: dernst
  date_created: 2018-12-17T10:34:06Z
  date_updated: 2020-07-14T12:48:07Z
  file_id: '5688'
  file_name: 2018_CommunMathPhys_Deuchert.pdf
  file_size: 893902
  relation: main_file
file_date_updated: 2020-07-14T12:48:07Z
has_accepted_license: '1'
intvolume: '       368'
isi: 1
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 723-776
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P27533_N27
  name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '7974'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bose–Einstein condensation in a dilute, trapped gas at positive temperature
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: 368
year: '2019'
...
---
_id: '8175'
abstract:
- lang: eng
  text: We study edge asymptotics of poissonized Plancherel-type measures on skew
    Young diagrams (integer partitions). These measures can be seen as generalizations
    of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's
    problem on longest increasing subsequences of random permutations and the last
    passage percolation (corner growth) discrete versions thereof. Moreover they interpolate
    between said measures and the uniform measure on partitions. In the new KPZ-like
    1/3 exponent edge scaling limit with logarithmic corrections, we find new probability
    distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions
    from the theory of random matrices.
acknowledgement: "D.B. is especially grateful to Patrik Ferrari for suggesting simplifications
  in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models
  of Section 2.\r\n"
article_number: '34'
article_processing_charge: No
arxiv: 1
author:
- first_name: Dan
  full_name: Betea, Dan
  last_name: Betea
- first_name: Jérémie
  full_name: Bouttier, Jérémie
  last_name: Bouttier
- first_name: Peter
  full_name: Nejjar, Peter
  id: 4BF426E2-F248-11E8-B48F-1D18A9856A87
  last_name: Nejjar
- first_name: Mirjana
  full_name: Vuletíc, Mirjana
  last_name: Vuletíc
citation:
  ama: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young
    diagrams via free boundaries. In: <i>Proceedings on the 31st International Conference
    on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and
    Algebraic Combinatorics; 2019.'
  apa: 'Betea, D., Bouttier, J., Nejjar, P., &#38; Vuletíc, M. (2019). New edge asymptotics
    of skew Young diagrams via free boundaries. In <i>Proceedings on the 31st International
    Conference on Formal Power Series and Algebraic Combinatorics</i>. Ljubljana,
    Slovenia: Formal Power Series and Algebraic Combinatorics.'
  chicago: Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge
    Asymptotics of Skew Young Diagrams via Free Boundaries.” In <i>Proceedings on
    the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>.
    Formal Power Series and Algebraic Combinatorics, 2019.
  ieee: D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of
    skew Young diagrams via free boundaries,” in <i>Proceedings on the 31st International
    Conference on Formal Power Series and Algebraic Combinatorics</i>, Ljubljana,
    Slovenia, 2019.
  ista: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew
    Young diagrams via free boundaries. Proceedings on the 31st International Conference
    on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference
    on Formal Power Series and Algebraic Combinatorics, 34.'
  mla: Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.”
    <i>Proceedings on the 31st International Conference on Formal Power Series and
    Algebraic Combinatorics</i>, 34, Formal Power Series and Algebraic Combinatorics,
    2019.
  short: D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st
    International Conference on Formal Power Series and Algebraic Combinatorics, Formal
    Power Series and Algebraic Combinatorics, 2019.
conference:
  end_date: 2019-07-05
  location: Ljubljana, Slovenia
  name: 'FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics'
  start_date: 2019-07-01
date_created: 2020-07-26T22:01:04Z
date_published: 2019-07-01T00:00:00Z
date_updated: 2021-01-12T08:17:18Z
day: '01'
department:
- _id: LaEr
ec_funded: 1
external_id:
  arxiv:
  - '1902.08750'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1902.08750
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
publication: Proceedings on the 31st International Conference on Formal Power Series
  and Algebraic Combinatorics
publication_status: published
publisher: Formal Power Series and Algebraic Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: New edge asymptotics of skew Young diagrams via free boundaries
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '8182'
abstract:
- lang: eng
  text: "Suppose that $n\\neq p^k$ and $n\\neq 2p^k$ for all $k$ and all primes $p$.
    We prove that for any Hausdorff compactum $X$ with a free action of the symmetric
    group $\\mathfrak S_n$ there exists an $\\mathfrak S_n$-equivariant map $X \\to\r\n{\\mathbb
    R}^n$ whose image avoids the diagonal $\\{(x,x\\dots,x)\\in {\\mathbb R}^n|x\\in
    {\\mathbb R}\\}$.\r\n  Previously, the special cases of this statement for certain
    $X$ were usually proved using the equivartiant obstruction theory. Such calculations
    are difficult and may become infeasible past the first (primary) obstruction.
    We\r\ntake a different approach which allows us to prove the vanishing of all
    obstructions simultaneously. The essential step in the proof is classifying the
    possible degrees of $\\mathfrak S_n$-equivariant maps from the boundary\r\n$\\partial\\Delta^{n-1}$
    of $(n-1)$-simplex to itself.  Existence of equivariant maps between spaces is
    important for many questions arising from discrete mathematics and geometry, such
    as Kneser's conjecture, the Square Peg conjecture, the Splitting Necklace problem,
    and the Topological Tverberg conjecture, etc. We demonstrate the utility of our
    result  applying it to one such question, a specific instance of envy-free division
    problem."
article_number: '1910.12628'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
- first_name: Sergey
  full_name: Kudrya, Sergey
  id: ecf01965-d252-11ea-95a5-8ada5f6c6a67
  last_name: Kudrya
citation:
  ama: Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping
    degree. <i>arXiv</i>.
  apa: Avvakumov, S., &#38; Kudrya, S. (n.d.). Vanishing of all equivariant obstructions
    and the mapping degree. <i>arXiv</i>. arXiv.
  chicago: Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions
    and the Mapping Degree.” <i>ArXiv</i>. arXiv, n.d.
  ieee: S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and
    the mapping degree,” <i>arXiv</i>. arXiv.
  ista: Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping
    degree. arXiv, 1910.12628.
  mla: Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions
    and the Mapping Degree.” <i>ArXiv</i>, 1910.12628, arXiv.
  short: S. Avvakumov, S. Kudrya, ArXiv (n.d.).
date_created: 2020-07-30T10:45:08Z
date_published: 2019-10-28T00:00:00Z
date_updated: 2023-09-07T13:12:17Z
day: '28'
department:
- _id: UlWa
external_id:
  arxiv:
  - '1910.12628'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1910.12628
month: '10'
oa: 1
oa_version: Preprint
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P31312
  name: Algorithms for Embeddings and Homotopy Theory
publication: arXiv
publication_status: submitted
publisher: arXiv
related_material:
  record:
  - id: '11446'
    relation: later_version
    status: public
  - id: '8156'
    relation: dissertation_contains
    status: public
status: public
title: Vanishing of all equivariant obstructions and the mapping degree
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '8184'
abstract:
- lang: eng
  text: "Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding
    if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample
    to the topological Tverberg conjecture asserts that if r is not a prime power
    and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was
    improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional
    counterexamples by taking k-fold join power of lower-dimensional ones. We improve
    this further (for d large compared to r): If r is not a prime power and N := (d+
    1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the
    r-fold van Kampen–Flores conjecture we also produce counterexamples which are
    stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner
    theorem on construction of almost r-embeddings from equivariant maps, and of the
    Ozaydin theorem on existence of equivariant maps. "
acknowledgement: We would like to thank F. Frick for helpful discussions
article_number: '1908.08731'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
- first_name: R.
  full_name: Karasev, R.
  last_name: Karasev
- first_name: A.
  full_name: Skopenkov, A.
  last_name: Skopenkov
citation:
  ama: Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological
    Tverberg conjecture. <i>arXiv</i>.
  apa: Avvakumov, S., Karasev, R., &#38; Skopenkov, A. (n.d.). Stronger counterexamples
    to the topological Tverberg conjecture. <i>arXiv</i>. arXiv.
  chicago: Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples
    to the Topological Tverberg Conjecture.” <i>ArXiv</i>. arXiv, n.d.
  ieee: S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the
    topological Tverberg conjecture,” <i>arXiv</i>. arXiv.
  ista: Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological
    Tverberg conjecture. arXiv, 1908.08731.
  mla: Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg
    Conjecture.” <i>ArXiv</i>, 1908.08731, arXiv.
  short: S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
date_created: 2020-07-30T10:45:34Z
date_published: 2019-08-23T00:00:00Z
date_updated: 2023-09-08T11:20:02Z
day: '23'
department:
- _id: UlWa
external_id:
  arxiv:
  - '1908.08731'
  isi:
  - '000986519600004'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1908.08731
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P31312
  name: Algorithms for Embeddings and Homotopy Theory
publication: arXiv
publication_status: submitted
publisher: arXiv
related_material:
  record:
  - id: '8156'
    relation: dissertation_contains
    status: public
status: public
title: Stronger counterexamples to the topological Tverberg conjecture
type: preprint
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2019'
...
---
_id: '8185'
abstract:
- lang: eng
  text: "In this paper we study envy-free division problems. The classical approach
    to some of such problems, used by David Gale, reduces to considering continuous
    maps of a simplex to itself and finding sufficient conditions when this map hits
    the center of the simplex. The mere continuity is not sufficient for such a conclusion,
    the usual assumption (for example, in the Knaster--Kuratowski--Mazurkiewicz and
    the Gale theorem) is a certain boundary condition.\r\n  We follow Erel Segal-Halevi,
    Fr\\'ed\\'eric Meunier, and Shira Zerbib, and replace the boundary condition by
    another assumption, which has the economic meaning of possibility for a player
    to prefer an empty part in the segment\r\npartition problem. We solve the problem
    positively when $n$, the number of players that divide the segment, is a prime
    power, and we provide counterexamples for every $n$ which is not a prime power.
    We also provide counterexamples relevant to a wider class of fair or envy-free
    partition problems when $n$ is odd and not a prime power."
article_number: '1907.11183'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
- first_name: Roman
  full_name: Karasev, Roman
  last_name: Karasev
citation:
  ama: Avvakumov S, Karasev R. Envy-free division using mapping degree. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.1907.11183">10.48550/arXiv.1907.11183</a>
  apa: Avvakumov, S., &#38; Karasev, R. (n.d.). Envy-free division using mapping degree.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.1907.11183">https://doi.org/10.48550/arXiv.1907.11183</a>
  chicago: Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping
    Degree.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.1907.11183">https://doi.org/10.48550/arXiv.1907.11183</a>.
  ieee: S. Avvakumov and R. Karasev, “Envy-free division using mapping degree,” <i>arXiv</i>.
    .
  ista: Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv, 1907.11183.
  mla: Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.”
    <i>ArXiv</i>, 1907.11183, doi:<a href="https://doi.org/10.48550/arXiv.1907.11183">10.48550/arXiv.1907.11183</a>.
  short: S. Avvakumov, R. Karasev, ArXiv (n.d.).
date_created: 2020-07-30T10:45:51Z
date_published: 2019-07-25T00:00:00Z
date_updated: 2023-09-07T13:12:17Z
day: '25'
department:
- _id: UlWa
doi: 10.48550/arXiv.1907.11183
external_id:
  arxiv:
  - '1907.11183'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1907.11183
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P31312
  name: Algorithms for Embeddings and Homotopy Theory
publication: arXiv
publication_status: submitted
related_material:
  link:
  - relation: later_version
    url: https://doi.org/10.1112/mtk.12059
  record:
  - id: '8156'
    relation: dissertation_contains
    status: public
status: public
title: Envy-free division using mapping degree
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '8281'
abstract:
- lang: eng
  text: We review the history of population genetics, starting with its origins a
    century ago from the synthesis between Mendel and Darwin's ideas, through to the
    recent development of sophisticated schemes of inference from sequence data, based
    on the coalescent. We explain the close relation between the coalescent and a
    diffusion process, which we illustrate by their application to understand spatial
    structure. We summarise the powerful methods available for analysis of multiple
    loci, when linkage equilibrium can be assumed, and then discuss approaches to
    the more challenging case, where associations between alleles require that we
    follow genotype, rather than allele, frequencies. Though we can hardly cover the
    whole of population genetics, we give an overview of the current state of the
    subject, and future challenges to it.
article_processing_charge: No
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Alison
  full_name: Etheridge, Alison
  last_name: Etheridge
citation:
  ama: 'Barton NH, Etheridge A. Mathematical models in population genetics. In: Balding
    D, Moltke I, Marioni J, eds. <i>Handbook of Statistical Genomics</i>. 4th ed.
    Wiley; 2019:115-144. doi:<a href="https://doi.org/10.1002/9781119487845.ch4">10.1002/9781119487845.ch4</a>'
  apa: Barton, N. H., &#38; Etheridge, A. (2019). Mathematical models in population
    genetics. In D. Balding, I. Moltke, &#38; J. Marioni (Eds.), <i>Handbook of statistical
    genomics</i> (4th ed., pp. 115–144). Wiley. <a href="https://doi.org/10.1002/9781119487845.ch4">https://doi.org/10.1002/9781119487845.ch4</a>
  chicago: Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population
    Genetics.” In <i>Handbook of Statistical Genomics</i>, edited by David Balding,
    Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. <a href="https://doi.org/10.1002/9781119487845.ch4">https://doi.org/10.1002/9781119487845.ch4</a>.
  ieee: N. H. Barton and A. Etheridge, “Mathematical models in population genetics,”
    in <i>Handbook of statistical genomics</i>, 4th ed., D. Balding, I. Moltke, and
    J. Marioni, Eds. Wiley, 2019, pp. 115–144.
  ista: 'Barton NH, Etheridge A. 2019.Mathematical models in population genetics.
    In: Handbook of statistical genomics. , 115–144.'
  mla: Barton, Nicholas H., and Alison Etheridge. “Mathematical Models in Population
    Genetics.” <i>Handbook of Statistical Genomics</i>, edited by David Balding et
    al., 4th ed., Wiley, 2019, pp. 115–44, doi:<a href="https://doi.org/10.1002/9781119487845.ch4">10.1002/9781119487845.ch4</a>.
  short: N.H. Barton, A. Etheridge, in:, D. Balding, I. Moltke, J. Marioni (Eds.),
    Handbook of Statistical Genomics, 4th ed., Wiley, 2019, pp. 115–144.
date_created: 2020-08-21T04:25:39Z
date_published: 2019-07-29T00:00:00Z
date_updated: 2023-09-08T11:24:15Z
day: '29'
ddc:
- '576'
department:
- _id: NiBa
doi: 10.1002/9781119487845.ch4
edition: '4'
editor:
- first_name: David
  full_name: Balding, David
  last_name: Balding
- first_name: Ida
  full_name: Moltke, Ida
  last_name: Moltke
- first_name: John
  full_name: Marioni, John
  last_name: Marioni
external_id:
  isi:
  - '000261343000003'
isi: 1
language:
- iso: eng
month: '07'
oa_version: None
page: 115-144
publication: Handbook of statistical genomics
publication_identifier:
  isbn:
  - '9781119429142'
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Mathematical models in population genetics
type: book_chapter
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2019'
...
---
_id: '8570'
abstract:
- lang: eng
  text: 'This report presents the results of a friendly competition for formal verification
    of continuous and hybrid systems with linear continuous dynamics. The friendly
    competition took place as part of the workshop Applied Verification for Continuous
    and Hybrid Systems (ARCH) in 2019. In its third edition, seven tools have been
    applied to solve six different benchmark problems in the category for linear continuous
    dynamics (in alphabetical order): CORA, CORA/SX, HyDRA, Hylaa, JuliaReach, SpaceEx,
    and XSpeed. This report is a snapshot of the current landscape of tools and the
    types of benchmarks they are particularly suited for. Due to the diversity of
    problems, we are not ranking tools, yet the presented results provide one of the
    most complete assessments of tools for the safety verification of continuous and
    hybrid systems with linear continuous dynamics up to this date.</jats:p>'
article_processing_charge: No
author:
- first_name: Matthias
  full_name: Althoff, Matthias
  last_name: Althoff
- first_name: Stanley
  full_name: Bak, Stanley
  last_name: Bak
- first_name: Marcelo
  full_name: Forets, Marcelo
  last_name: Forets
- first_name: Goran
  full_name: Frehse, Goran
  last_name: Frehse
- first_name: Niklas
  full_name: Kochdumper, Niklas
  last_name: Kochdumper
- first_name: Rajarshi
  full_name: Ray, Rajarshi
  last_name: Ray
- first_name: Christian
  full_name: Schilling, Christian
  id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87
  last_name: Schilling
  orcid: 0000-0003-3658-1065
- first_name: Stefan
  full_name: Schupp, Stefan
  last_name: Schupp
citation:
  ama: 'Althoff M, Bak S, Forets M, et al. ARCH-COMP19 Category Report: Continuous
    and hybrid systems with linear continuous dynamics. In: <i>EPiC Series in Computing</i>.
    Vol 61. EasyChair; 2019:14-40. doi:<a href="https://doi.org/10.29007/bj1w">10.29007/bj1w</a>'
  apa: 'Althoff, M., Bak, S., Forets, M., Frehse, G., Kochdumper, N., Ray, R., … Schupp,
    S. (2019). ARCH-COMP19 Category Report: Continuous and hybrid systems with linear
    continuous dynamics. In <i>EPiC Series in Computing</i> (Vol. 61, pp. 14–40).
    Montreal, Canada: EasyChair. <a href="https://doi.org/10.29007/bj1w">https://doi.org/10.29007/bj1w</a>'
  chicago: 'Althoff, Matthias, Stanley Bak, Marcelo Forets, Goran Frehse, Niklas Kochdumper,
    Rajarshi Ray, Christian Schilling, and Stefan Schupp. “ARCH-COMP19 Category Report:
    Continuous and Hybrid Systems with Linear Continuous Dynamics.” In <i>EPiC Series
    in Computing</i>, 61:14–40. EasyChair, 2019. <a href="https://doi.org/10.29007/bj1w">https://doi.org/10.29007/bj1w</a>.'
  ieee: 'M. Althoff <i>et al.</i>, “ARCH-COMP19 Category Report: Continuous and hybrid
    systems with linear continuous dynamics,” in <i>EPiC Series in Computing</i>,
    Montreal, Canada, 2019, vol. 61, pp. 14–40.'
  ista: 'Althoff M, Bak S, Forets M, Frehse G, Kochdumper N, Ray R, Schilling C, Schupp
    S. 2019. ARCH-COMP19 Category Report: Continuous and hybrid systems with linear
    continuous dynamics. EPiC Series in Computing. ARCH: International Workshop on
    Applied Verification on Continuous and Hybrid Systems vol. 61, 14–40.'
  mla: 'Althoff, Matthias, et al. “ARCH-COMP19 Category Report: Continuous and Hybrid
    Systems with Linear Continuous Dynamics.” <i>EPiC Series in Computing</i>, vol.
    61, EasyChair, 2019, pp. 14–40, doi:<a href="https://doi.org/10.29007/bj1w">10.29007/bj1w</a>.'
  short: M. Althoff, S. Bak, M. Forets, G. Frehse, N. Kochdumper, R. Ray, C. Schilling,
    S. Schupp, in:, EPiC Series in Computing, EasyChair, 2019, pp. 14–40.
conference:
  end_date: 2019-04-15
  location: Montreal, Canada
  name: 'ARCH: International Workshop on Applied Verification on Continuous and Hybrid
    Systems'
  start_date: 2019-04-15
date_created: 2020-09-26T14:23:54Z
date_published: 2019-05-25T00:00:00Z
date_updated: 2021-01-12T08:20:05Z
day: '25'
department:
- _id: ToHe
doi: 10.29007/bj1w
intvolume: '        61'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://easychair.org/publications/open/1gbP
month: '05'
oa: 1
oa_version: Published Version
page: 14-40
publication: EPiC Series in Computing
publication_identifier:
  eissn:
  - '23987340'
publication_status: published
publisher: EasyChair
quality_controlled: '1'
status: public
title: 'ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous
  dynamics'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2019'
...
---
_id: '175'
abstract:
- lang: eng
  text: An upper bound sieve for rational points on suitable varieties isdeveloped,
    together with applications tocounting rational points in thin sets,to local solubility
    in families, and to the notion of “friable” rational pointswith respect to divisors.
    In the special case of quadrics, sharper estimates areobtained by developing a
    version of the Selberg sieve for rational points.
article_processing_charge: No
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Daniel
  full_name: Loughran, Daniel
  last_name: Loughran
citation:
  ama: Browning TD, Loughran D. Sieving rational points on varieties. <i>Transactions
    of the American Mathematical Society</i>. 2019;371(8):5757-5785. doi:<a href="https://doi.org/10.1090/tran/7514">10.1090/tran/7514</a>
  apa: Browning, T. D., &#38; Loughran, D. (2019). Sieving rational points on varieties.
    <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society. <a href="https://doi.org/10.1090/tran/7514">https://doi.org/10.1090/tran/7514</a>
  chicago: Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.”
    <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society, 2019. <a href="https://doi.org/10.1090/tran/7514">https://doi.org/10.1090/tran/7514</a>.
  ieee: T. D. Browning and D. Loughran, “Sieving rational points on varieties,” <i>Transactions
    of the American Mathematical Society</i>, vol. 371, no. 8. American Mathematical
    Society, pp. 5757–5785, 2019.
  ista: Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions
    of the American Mathematical Society. 371(8), 5757–5785.
  mla: Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.”
    <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, American
    Mathematical Society, 2019, pp. 5757–85, doi:<a href="https://doi.org/10.1090/tran/7514">10.1090/tran/7514</a>.
  short: T.D. Browning, D. Loughran, Transactions of the American Mathematical Society
    371 (2019) 5757–5785.
date_created: 2018-12-11T11:45:01Z
date_published: 2019-04-15T00:00:00Z
date_updated: 2023-08-24T14:34:56Z
day: '15'
department:
- _id: TiBr
doi: 10.1090/tran/7514
external_id:
  arxiv:
  - '1705.01999'
  isi:
  - '000464034200019'
intvolume: '       371'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.01999
month: '04'
oa: 1
oa_version: Preprint
page: 5757-5785
publication: Transactions of the American Mathematical Society
publication_identifier:
  eissn:
  - '10886850'
  issn:
  - '00029947'
publication_status: published
publisher: American Mathematical Society
publist_id: '7746'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sieving rational points on varieties
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 371
year: '2019'
...
---
_id: '196'
abstract:
- lang: eng
  text: 'The abelian sandpile serves as a model to study self-organized criticality,
    a phenomenon occurring in biological, physical and social processes. The identity
    of the abelian group is a fractal composed of self-similar patches, and its limit
    is subject of extensive collaborative research. Here, we analyze the evolution
    of the sandpile identity under harmonic fields of different orders. We show that
    this evolution corresponds to periodic cycles through the abelian group characterized
    by the smooth transformation and apparent conservation of the patches constituting
    the identity. The dynamics induced by second and third order harmonics resemble
    smooth stretchings, respectively translations, of the identity, while the ones
    induced by fourth order harmonics resemble magnifications and rotations. Starting
    with order three, the dynamics pass through extended regions of seemingly random
    configurations which spontaneously reassemble into accentuated patterns. We show
    that the space of harmonic functions projects to the extended analogue of the
    sandpile group, thus providing a set of universal coordinates identifying configurations
    between different domains. Since the original sandpile group is a subgroup of
    the extended one, this directly implies that it admits a natural renormalization.
    Furthermore, we show that the harmonic fields can be induced by simple Markov
    processes, and that the corresponding stochastic dynamics show remarkable robustness
    over hundreds of periods. Finally, we encode information into seemingly random
    configurations, and decode this information with an algorithm requiring minimal
    prior knowledge. Our results suggest that harmonic fields might split the sandpile
    group into sub-sets showing different critical coefficients, and that it might
    be possible to extend the fractal structure of the identity beyond the boundaries
    of its domain. '
acknowledgement: "M.L. is grateful to the members of the C Guet and G Tkacik groups
  for valuable comments and support. M.S. is grateful to Nikita Kalinin for inspiring
  communications.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Moritz
  full_name: Lang, Moritz
  id: 29E0800A-F248-11E8-B48F-1D18A9856A87
  last_name: Lang
- first_name: Mikhail
  full_name: Shkolnikov, Mikhail
  id: 35084A62-F248-11E8-B48F-1D18A9856A87
  last_name: Shkolnikov
  orcid: 0000-0002-4310-178X
citation:
  ama: Lang M, Shkolnikov M. Harmonic dynamics of the Abelian sandpile. <i>Proceedings
    of the National Academy of Sciences</i>. 2019;116(8):2821-2830. doi:<a href="https://doi.org/10.1073/pnas.1812015116">10.1073/pnas.1812015116</a>
  apa: Lang, M., &#38; Shkolnikov, M. (2019). Harmonic dynamics of the Abelian sandpile.
    <i>Proceedings of the National Academy of Sciences</i>. National Academy of Sciences.
    <a href="https://doi.org/10.1073/pnas.1812015116">https://doi.org/10.1073/pnas.1812015116</a>
  chicago: Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian
    Sandpile.” <i>Proceedings of the National Academy of Sciences</i>. National Academy
    of Sciences, 2019. <a href="https://doi.org/10.1073/pnas.1812015116">https://doi.org/10.1073/pnas.1812015116</a>.
  ieee: M. Lang and M. Shkolnikov, “Harmonic dynamics of the Abelian sandpile,” <i>Proceedings
    of the National Academy of Sciences</i>, vol. 116, no. 8. National Academy of
    Sciences, pp. 2821–2830, 2019.
  ista: Lang M, Shkolnikov M. 2019. Harmonic dynamics of the Abelian sandpile. Proceedings
    of the National Academy of Sciences. 116(8), 2821–2830.
  mla: Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian Sandpile.”
    <i>Proceedings of the National Academy of Sciences</i>, vol. 116, no. 8, National
    Academy of Sciences, 2019, pp. 2821–30, doi:<a href="https://doi.org/10.1073/pnas.1812015116">10.1073/pnas.1812015116</a>.
  short: M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences 116
    (2019) 2821–2830.
date_created: 2018-12-11T11:45:08Z
date_published: 2019-02-19T00:00:00Z
date_updated: 2023-09-11T14:09:34Z
day: '19'
department:
- _id: CaGu
- _id: GaTk
- _id: TaHa
doi: 10.1073/pnas.1812015116
external_id:
  arxiv:
  - '1806.10823'
  isi:
  - '000459074400013'
  pmid:
  - ' 30728300'
intvolume: '       116'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1073/pnas.1812015116
month: '02'
oa: 1
oa_version: Published Version
page: 2821-2830
pmid: 1
publication: Proceedings of the National Academy of Sciences
publication_identifier:
  eissn:
  - 1091-6490
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Webpage
    relation: press_release
    url: https://ist.ac.at/en/news/famous-sandpile-model-shown-to-move-like-a-traveling-sand-dune/
scopus_import: '1'
status: public
title: Harmonic dynamics of the Abelian sandpile
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 116
year: '2019'
...
---
_id: '6611'
abstract:
- lang: eng
  text: 'Cell polarity is crucial for the coordinated development of all multicellular
    organisms. In plants, this is exemplified by the PIN-FORMED (PIN) efflux carriers
    of the phytohormone auxin: The polar subcellular localization of the PINs is instructive
    to the directional intercellular auxin transport, and thus to a plethora of auxin-regulated
    growth and developmental processes. Despite its importance, the regulation of
    PIN polar subcellular localization remains poorly understood. Here, we have employed
    advanced live-cell imaging techniques to study the roles of microtubules and actin
    microfilaments in the establishment of apical polar localization of PIN2 in the
    epidermis of the Arabidopsis root meristem. We report that apical PIN2 polarity
    requires neither intact actin microfilaments nor microtubules, suggesting that
    the primary spatial cue for polar PIN distribution is likely independent of cytoskeleton-guided
    endomembrane trafficking.'
acknowledged_ssus:
- _id: Bio
article_number: '222'
article_processing_charge: No
author:
- first_name: Matous
  full_name: Glanc, Matous
  id: 1AE1EA24-02D0-11E9-9BAA-DAF4881429F2
  last_name: Glanc
  orcid: 0000-0003-0619-7783
- first_name: Matyas
  full_name: Fendrych, Matyas
  id: 43905548-F248-11E8-B48F-1D18A9856A87
  last_name: Fendrych
  orcid: 0000-0002-9767-8699
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Glanc M, Fendrych M, Friml J. PIN2 polarity establishment in arabidopsis in
    the absence of an intact cytoskeleton. <i>Biomolecules</i>. 2019;9(6). doi:<a
    href="https://doi.org/10.3390/biom9060222">10.3390/biom9060222</a>
  apa: Glanc, M., Fendrych, M., &#38; Friml, J. (2019). PIN2 polarity establishment
    in arabidopsis in the absence of an intact cytoskeleton. <i>Biomolecules</i>.
    MDPI. <a href="https://doi.org/10.3390/biom9060222">https://doi.org/10.3390/biom9060222</a>
  chicago: Glanc, Matous, Matyas Fendrych, and Jiří Friml. “PIN2 Polarity Establishment
    in Arabidopsis in the Absence of an Intact Cytoskeleton.” <i>Biomolecules</i>.
    MDPI, 2019. <a href="https://doi.org/10.3390/biom9060222">https://doi.org/10.3390/biom9060222</a>.
  ieee: M. Glanc, M. Fendrych, and J. Friml, “PIN2 polarity establishment in arabidopsis
    in the absence of an intact cytoskeleton,” <i>Biomolecules</i>, vol. 9, no. 6.
    MDPI, 2019.
  ista: Glanc M, Fendrych M, Friml J. 2019. PIN2 polarity establishment in arabidopsis
    in the absence of an intact cytoskeleton. Biomolecules. 9(6), 222.
  mla: Glanc, Matous, et al. “PIN2 Polarity Establishment in Arabidopsis in the Absence
    of an Intact Cytoskeleton.” <i>Biomolecules</i>, vol. 9, no. 6, 222, MDPI, 2019,
    doi:<a href="https://doi.org/10.3390/biom9060222">10.3390/biom9060222</a>.
  short: M. Glanc, M. Fendrych, J. Friml, Biomolecules 9 (2019).
date_created: 2019-07-07T21:59:21Z
date_published: 2019-06-07T00:00:00Z
date_updated: 2023-08-28T12:30:24Z
day: '07'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.3390/biom9060222
ec_funded: 1
external_id:
  isi:
  - '000475301500018'
  pmid:
  - '31181636'
file:
- access_level: open_access
  checksum: 1ce1bd36038fe5381057a1bcc6760083
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-07-08T15:46:32Z
  date_updated: 2020-07-14T12:47:34Z
  file_id: '6625'
  file_name: biomolecules-2019-Matous.pdf
  file_size: 1066773
  relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: '         9'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '742985'
  name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Biomolecules
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton
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: 9
year: '2019'
...
---
_id: '6617'
abstract:
- lang: eng
  text: 'The effective large-scale properties of materials with random heterogeneities
    on a small scale are typically determined by the method of representative volumes:
    a sample of the random material is chosen—the representative volume—and its effective
    properties are computed by the cell formula. Intuitively, for a fixed sample size
    it should be possible to increase the accuracy of the method by choosing a material
    sample which captures the statistical properties of the material particularly
    well; for example, for a composite material consisting of two constituents, one
    would select a representative volume in which the volume fraction of the constituents
    matches closely with their volume fraction in the overall material. Inspired by
    similar attempts in materials science, Le Bris, Legoll and Minvielle have designed
    a selection approach for representative volumes which performs remarkably well
    in numerical examples of linear materials with moderate contrast. In the present
    work, we provide a rigorous analysis of this selection approach for representative
    volumes in the context of stochastic homogenization of linear elliptic equations.
    In particular, we prove that the method essentially never performs worse than
    a random selection of the material sample and may perform much better if the selection
    criterion for the material samples is chosen suitably.'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
citation:
  ama: Fischer JL. The choice of representative volumes in the approximation of effective
    properties of random materials. <i>Archive for Rational Mechanics and Analysis</i>.
    2019;234(2):635–726. doi:<a href="https://doi.org/10.1007/s00205-019-01400-w">10.1007/s00205-019-01400-w</a>
  apa: Fischer, J. L. (2019). The choice of representative volumes in the approximation
    of effective properties of random materials. <i>Archive for Rational Mechanics
    and Analysis</i>. Springer. <a href="https://doi.org/10.1007/s00205-019-01400-w">https://doi.org/10.1007/s00205-019-01400-w</a>
  chicago: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation
    of Effective Properties of Random Materials.” <i>Archive for Rational Mechanics
    and Analysis</i>. Springer, 2019. <a href="https://doi.org/10.1007/s00205-019-01400-w">https://doi.org/10.1007/s00205-019-01400-w</a>.
  ieee: J. L. Fischer, “The choice of representative volumes in the approximation
    of effective properties of random materials,” <i>Archive for Rational Mechanics
    and Analysis</i>, vol. 234, no. 2. Springer, pp. 635–726, 2019.
  ista: Fischer JL. 2019. The choice of representative volumes in the approximation
    of effective properties of random materials. Archive for Rational Mechanics and
    Analysis. 234(2), 635–726.
  mla: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation
    of Effective Properties of Random Materials.” <i>Archive for Rational Mechanics
    and Analysis</i>, vol. 234, no. 2, Springer, 2019, pp. 635–726, doi:<a href="https://doi.org/10.1007/s00205-019-01400-w">10.1007/s00205-019-01400-w</a>.
  short: J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.
date_created: 2019-07-07T21:59:23Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2023-08-28T12:31:21Z
day: '01'
ddc:
- '500'
department:
- _id: JuFi
doi: 10.1007/s00205-019-01400-w
external_id:
  arxiv:
  - '1807.00834'
  isi:
  - '000482386000006'
file:
- access_level: open_access
  checksum: 4cff75fa6addb0770991ad9c474ab404
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-07-08T15:56:47Z
  date_updated: 2020-07-14T12:47:34Z
  file_id: '6626'
  file_name: Springer_2019_Fischer.pdf
  file_size: 1377659
  relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: '       234'
isi: 1
issue: '2'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 635–726
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  eissn:
  - 1432-0673
  issn:
  - 0003-9527
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: The choice of representative volumes in the approximation of effective properties
  of random materials
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: 234
year: '2019'
...
---
_id: '6620'
abstract:
- lang: eng
  text: "This paper establishes an asymptotic formula with a power-saving error term
    for the number of rational points of bounded height on the singular cubic surface
    of ℙ3ℚ given by the following equation \U0001D4650(\U0001D46521+\U0001D46522)−\U0001D46533=0
    in agreement with the Manin-Peyre conjectures.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Régis
  full_name: De La Bretèche, Régis
  last_name: De La Bretèche
- first_name: Kevin N
  full_name: Destagnol, Kevin N
  id: 44DDECBC-F248-11E8-B48F-1D18A9856A87
  last_name: Destagnol
- first_name: Jianya
  full_name: Liu, Jianya
  last_name: Liu
- first_name: Jie
  full_name: Wu, Jie
  last_name: Wu
- first_name: Yongqiang
  full_name: Zhao, Yongqiang
  last_name: Zhao
citation:
  ama: De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. On a certain non-split
    cubic surface. <i>Science China Mathematics</i>. 2019;62(12):2435–2446. doi:<a
    href="https://doi.org/10.1007/s11425-018-9543-8">10.1007/s11425-018-9543-8</a>
  apa: De La Bretèche, R., Destagnol, K. N., Liu, J., Wu, J., &#38; Zhao, Y. (2019).
    On a certain non-split cubic surface. <i>Science China Mathematics</i>. Springer.
    <a href="https://doi.org/10.1007/s11425-018-9543-8">https://doi.org/10.1007/s11425-018-9543-8</a>
  chicago: De La Bretèche, Régis, Kevin N Destagnol, Jianya Liu, Jie Wu, and Yongqiang
    Zhao. “On a Certain Non-Split Cubic Surface.” <i>Science China Mathematics</i>.
    Springer, 2019. <a href="https://doi.org/10.1007/s11425-018-9543-8">https://doi.org/10.1007/s11425-018-9543-8</a>.
  ieee: R. De La Bretèche, K. N. Destagnol, J. Liu, J. Wu, and Y. Zhao, “On a certain
    non-split cubic surface,” <i>Science China Mathematics</i>, vol. 62, no. 12. Springer,
    pp. 2435–2446, 2019.
  ista: De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. 2019. On a certain non-split
    cubic surface. Science China Mathematics. 62(12), 2435–2446.
  mla: De La Bretèche, Régis, et al. “On a Certain Non-Split Cubic Surface.” <i>Science
    China Mathematics</i>, vol. 62, no. 12, Springer, 2019, pp. 2435–2446, doi:<a
    href="https://doi.org/10.1007/s11425-018-9543-8">10.1007/s11425-018-9543-8</a>.
  short: R. De La Bretèche, K.N. Destagnol, J. Liu, J. Wu, Y. Zhao, Science China
    Mathematics 62 (2019) 2435–2446.
date_created: 2019-07-07T21:59:25Z
date_published: 2019-12-01T00:00:00Z
date_updated: 2023-08-28T12:32:20Z
day: '01'
department:
- _id: TiBr
doi: 10.1007/s11425-018-9543-8
external_id:
  arxiv:
  - '1709.09476'
  isi:
  - '000509102200001'
intvolume: '        62'
isi: 1
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1709.09476
month: '12'
oa: 1
oa_version: Preprint
page: 2435–2446
publication: Science China Mathematics
publication_identifier:
  issn:
  - '16747283'
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: On a certain non-split cubic surface
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2019'
...
---
_id: '6621'
abstract:
- lang: eng
  text: We read with great interest the recent work in PNAS by Bergero et al. (1)
    describing differences in male and female recombination patterns on the guppy
    (Poecilia reticulata) sex chromosome. We fully agree that recombination in males
    is largely confined to the ends of the sex chromosome. Bergero et al. interpret
    these results to suggest that our previous findings of population-level variation
    in the degree of sex chromosome differentiation in this species (2) are incorrect.
    However, we suggest that their results are entirely consistent with our previous
    report, and that their interpretation presents a false controversy.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Alison E.
  full_name: Wright, Alison E.
  last_name: Wright
- first_name: Iulia
  full_name: Darolti, Iulia
  last_name: Darolti
- first_name: Natasha I.
  full_name: Bloch, Natasha I.
  last_name: Bloch
- first_name: Vicencio
  full_name: Oostra, Vicencio
  last_name: Oostra
- first_name: Benjamin A.
  full_name: Sandkam, Benjamin A.
  last_name: Sandkam
- first_name: Séverine D.
  full_name: Buechel, Séverine D.
  last_name: Buechel
- first_name: Niclas
  full_name: Kolm, Niclas
  last_name: Kolm
- first_name: Felix
  full_name: Breden, Felix
  last_name: Breden
- first_name: Beatriz
  full_name: Vicoso, Beatriz
  id: 49E1C5C6-F248-11E8-B48F-1D18A9856A87
  last_name: Vicoso
  orcid: 0000-0002-4579-8306
- first_name: Judith E.
  full_name: Mank, Judith E.
  last_name: Mank
citation:
  ama: Wright AE, Darolti I, Bloch NI, et al. On the power to detect rare recombination
    events. <i>Proceedings of the National Academy of Sciences of the United States
    of America</i>. 2019;116(26):12607-12608. doi:<a href="https://doi.org/10.1073/pnas.1905555116">10.1073/pnas.1905555116</a>
  apa: Wright, A. E., Darolti, I., Bloch, N. I., Oostra, V., Sandkam, B. A., Buechel,
    S. D., … Mank, J. E. (2019). On the power to detect rare recombination events.
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>.
    Proceedings of the National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.1905555116">https://doi.org/10.1073/pnas.1905555116</a>
  chicago: Wright, Alison E., Iulia Darolti, Natasha I. Bloch, Vicencio Oostra, Benjamin
    A. Sandkam, Séverine D. Buechel, Niclas Kolm, Felix Breden, Beatriz Vicoso, and
    Judith E. Mank. “On the Power to Detect Rare Recombination Events.” <i>Proceedings
    of the National Academy of Sciences of the United States of America</i>. Proceedings
    of the National Academy of Sciences, 2019. <a href="https://doi.org/10.1073/pnas.1905555116">https://doi.org/10.1073/pnas.1905555116</a>.
  ieee: A. E. Wright <i>et al.</i>, “On the power to detect rare recombination events,”
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>,
    vol. 116, no. 26. Proceedings of the National Academy of Sciences, pp. 12607–12608,
    2019.
  ista: Wright AE, Darolti I, Bloch NI, Oostra V, Sandkam BA, Buechel SD, Kolm N,
    Breden F, Vicoso B, Mank JE. 2019. On the power to detect rare recombination events.
    Proceedings of the National Academy of Sciences of the United States of America.
    116(26), 12607–12608.
  mla: Wright, Alison E., et al. “On the Power to Detect Rare Recombination Events.”
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>,
    vol. 116, no. 26, Proceedings of the National Academy of Sciences, 2019, pp. 12607–08,
    doi:<a href="https://doi.org/10.1073/pnas.1905555116">10.1073/pnas.1905555116</a>.
  short: A.E. Wright, I. Darolti, N.I. Bloch, V. Oostra, B.A. Sandkam, S.D. Buechel,
    N. Kolm, F. Breden, B. Vicoso, J.E. Mank, Proceedings of the National Academy
    of Sciences of the United States of America 116 (2019) 12607–12608.
date_created: 2019-07-07T21:59:25Z
date_published: 2019-06-25T00:00:00Z
date_updated: 2023-10-17T12:44:15Z
day: '25'
department:
- _id: BeVi
doi: 10.1073/pnas.1905555116
external_id:
  isi:
  - '000472719100010'
  pmid:
  - '31213531'
intvolume: '       116'
isi: 1
issue: '26'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1073/pnas.1905555116
month: '06'
oa: 1
oa_version: Published Version
page: 12607-12608
pmid: 1
publication: Proceedings of the National Academy of Sciences of the United States
  of America
publication_status: published
publisher: Proceedings of the National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the power to detect rare recombination events
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2019'
...
---
_id: '6627'
abstract:
- lang: eng
  text: Cortical microtubule arrays in elongating epidermal cells in both the root
    and stem of plants have the propensity of dynamic reorientations that are correlated
    with the activation or inhibition of growth. Factors regulating plant growth,
    among them the hormone auxin, have been recognized as regulators of microtubule
    array orientations. Some previous work in the field has aimed at elucidating the
    causal relationship between cell growth, the signaling of auxin or other growth-regulating
    factors, and microtubule array reorientations, with various conclusions. Here,
    we revisit this problem of causality with a comprehensive set of experiments in
    Arabidopsis thaliana, using the now available pharmacological and genetic tools.
    We use isolated, auxin-depleted hypocotyls, an experimental system allowing for
    full control of both growth and auxin signaling. We demonstrate that reorientation
    of microtubules is not directly triggered by an auxin signal during growth activation.
    Instead, reorientation is triggered by the activation of the growth process itself
    and is auxin-independent in its nature. We discuss these findings in the context
    of previous relevant work, including that on the mechanical regulation of microtubule
    array orientation.
article_number: '3337'
article_processing_charge: Yes
article_type: original
author:
- first_name: Maciek
  full_name: Adamowski, Maciek
  id: 45F536D2-F248-11E8-B48F-1D18A9856A87
  last_name: Adamowski
  orcid: 0000-0001-6463-5257
- first_name: Lanxin
  full_name: Li, Lanxin
  id: 367EF8FA-F248-11E8-B48F-1D18A9856A87
  last_name: Li
  orcid: 0000-0002-5607-272X
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Adamowski M, Li L, Friml J. Reorientation of cortical microtubule arrays in
    the hypocotyl of arabidopsis thaliana is induced by the cell growth process and
    independent of auxin signaling. <i>International Journal of Molecular Sciences</i>.
    2019;20(13). doi:<a href="https://doi.org/10.3390/ijms20133337">10.3390/ijms20133337</a>
  apa: Adamowski, M., Li, L., &#38; Friml, J. (2019). Reorientation of cortical microtubule
    arrays in the hypocotyl of arabidopsis thaliana is induced by the cell growth
    process and independent of auxin signaling. <i>International Journal of Molecular
    Sciences</i>. MDPI. <a href="https://doi.org/10.3390/ijms20133337">https://doi.org/10.3390/ijms20133337</a>
  chicago: Adamowski, Maciek, Lanxin Li, and Jiří Friml. “Reorientation of Cortical
    Microtubule Arrays in the Hypocotyl of Arabidopsis Thaliana Is Induced by the
    Cell Growth Process and Independent of Auxin Signaling.” <i>International Journal
    of Molecular Sciences</i>. MDPI, 2019. <a href="https://doi.org/10.3390/ijms20133337">https://doi.org/10.3390/ijms20133337</a>.
  ieee: M. Adamowski, L. Li, and J. Friml, “Reorientation of cortical microtubule
    arrays in the hypocotyl of arabidopsis thaliana is induced by the cell growth
    process and independent of auxin signaling,” <i>International Journal of Molecular
    Sciences</i>, vol. 20, no. 13. MDPI, 2019.
  ista: Adamowski M, Li L, Friml J. 2019. Reorientation of cortical microtubule arrays
    in the hypocotyl of arabidopsis thaliana is induced by the cell growth process
    and independent of auxin signaling. International Journal of Molecular Sciences.
    20(13), 3337.
  mla: Adamowski, Maciek, et al. “Reorientation of Cortical Microtubule Arrays in
    the Hypocotyl of Arabidopsis Thaliana Is Induced by the Cell Growth Process and
    Independent of Auxin Signaling.” <i>International Journal of Molecular Sciences</i>,
    vol. 20, no. 13, 3337, MDPI, 2019, doi:<a href="https://doi.org/10.3390/ijms20133337">10.3390/ijms20133337</a>.
  short: M. Adamowski, L. Li, J. Friml, International Journal of Molecular Sciences
    20 (2019).
date_created: 2019-07-11T12:00:32Z
date_published: 2019-07-07T00:00:00Z
date_updated: 2025-05-07T11:12:33Z
day: '07'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.3390/ijms20133337
ec_funded: 1
external_id:
  isi:
  - '000477041100221'
  pmid:
  - '31284661'
file:
- access_level: open_access
  checksum: dd9d1cbb933a72ceb666c9667890ac51
  content_type: application/pdf
  creator: dernst
  date_created: 2019-07-17T06:17:15Z
  date_updated: 2020-07-14T12:47:34Z
  file_id: '6645'
  file_name: 2019_JournalMolecularScience_Adamowski.pdf
  file_size: 3330291
  relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: '        20'
isi: 1
issue: '13'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 25716A02-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '282300'
  name: Polarity and subcellular dynamics in plants
- _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: International Journal of Molecular Sciences
publication_identifier:
  eissn:
  - 1422-0067
publication_status: published
publisher: MDPI
quality_controlled: '1'
related_material:
  record:
  - id: '10083'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Reorientation of cortical microtubule arrays in the hypocotyl of arabidopsis
  thaliana is induced by the cell growth process and independent of auxin signaling
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: 20
year: '2019'
...
---
_id: '6628'
abstract:
- lang: eng
  text: Fejes Tóth [5] and Schneider [9] studied approximations of smooth convex hypersurfaces
    in Euclidean space by piecewise  flat  triangular  meshes  with  a  given  number
    of  vertices  on  the  hypersurface  that  are  optimal  with respect  to  Hausdorff  distance.   They  proved  that  this
    Hausdorff distance decreases inversely proportional with m 2/(d−1),  where m is  the  number  of  vertices  and
    d is the  dimension  of  Euclidean  space.   Moreover  the  pro-portionality constant
    can be expressed in terms of the Gaussian curvature, an intrinsic quantity.  In
    this short note, we prove the extrinsic nature of this constant for manifolds
    of sufficiently high codimension.  We do so by constructing an family of isometric
    embeddings of the flat torus in Euclidean space.
author:
- first_name: Gert
  full_name: Vegter, Gert
  last_name: Vegter
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Vegter G, Wintraecken M. The extrinsic nature of the Hausdorff distance of
    optimal triangulations of manifolds. In: <i>The 31st Canadian Conference in Computational
    Geometry</i>. ; 2019:275-279.'
  apa: Vegter, G., &#38; Wintraecken, M. (2019). The extrinsic nature of the Hausdorff
    distance of optimal triangulations of manifolds. In <i>The 31st Canadian Conference
    in Computational Geometry</i> (pp. 275–279). Edmonton, Canada.
  chicago: Vegter, Gert, and Mathijs Wintraecken. “The Extrinsic Nature of the Hausdorff
    Distance of Optimal Triangulations of Manifolds.” In <i>The 31st Canadian Conference
    in Computational Geometry</i>, 275–79, 2019.
  ieee: G. Vegter and M. Wintraecken, “The extrinsic nature of the Hausdorff distance
    of optimal triangulations of manifolds,” in <i>The 31st Canadian Conference in
    Computational Geometry</i>, Edmonton, Canada, 2019, pp. 275–279.
  ista: 'Vegter G, Wintraecken M. 2019. The extrinsic nature of the Hausdorff distance
    of optimal triangulations of manifolds. The 31st Canadian Conference in Computational
    Geometry. CCCG: Canadian Conference in Computational Geometry, 275–279.'
  mla: Vegter, Gert, and Mathijs Wintraecken. “The Extrinsic Nature of the Hausdorff
    Distance of Optimal Triangulations of Manifolds.” <i>The 31st Canadian Conference
    in Computational Geometry</i>, 2019, pp. 275–79.
  short: G. Vegter, M. Wintraecken, in:, The 31st Canadian Conference in Computational
    Geometry, 2019, pp. 275–279.
conference:
  end_date: 2019-08-10
  location: Edmonton, Canada
  name: 'CCCG: Canadian Conference in Computational Geometry'
  start_date: 2019-08-08
date_created: 2019-07-12T08:34:57Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:08:16Z
day: '01'
ddc:
- '004'
department:
- _id: HeEd
ec_funded: 1
file:
- access_level: open_access
  checksum: ceabd152cfa55170d57763f9c6c60a53
  content_type: application/pdf
  creator: mwintrae
  date_created: 2019-07-12T08:32:46Z
  date_updated: 2020-07-14T12:47:34Z
  file_id: '6629'
  file_name: IntrinsicExtrinsicCCCG2019.pdf
  file_size: 321176
  relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 275-279
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: The 31st Canadian Conference in Computational Geometry
publication_status: published
quality_controlled: '1'
scopus_import: 1
status: public
title: The extrinsic nature of the Hausdorff distance of optimal triangulations of
  manifolds
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '6631'
abstract:
- lang: eng
  text: The spatiotemporal organization of cell divisions constitutes an integral
    part in the development of multicellular organisms, and mis-regulation of cell
    divisions can lead to severe developmental defects. Cell divisions have an important
    morphogenetic function in development by regulating growth and shape acquisition
    of developing tissues, and, conversely, tissue morphogenesis is known to affect
    both the rate and orientation of cell divisions. Moreover, cell divisions are
    associated with an extensive reorganization of the cytoskeleton and adhesion apparatus
    in the dividing cells that in turn can affect large-scale tissue rheological properties.
    Thus, the interplay between cell divisions and tissue morphogenesis plays a key
    role in embryo and tissue morphogenesis.
article_processing_charge: No
author:
- first_name: Benoit G
  full_name: Godard, Benoit G
  id: 33280250-F248-11E8-B48F-1D18A9856A87
  last_name: Godard
- first_name: Carl-Philipp J
  full_name: Heisenberg, Carl-Philipp J
  id: 39427864-F248-11E8-B48F-1D18A9856A87
  last_name: Heisenberg
  orcid: 0000-0002-0912-4566
citation:
  ama: Godard BG, Heisenberg C-PJ. Cell division and tissue mechanics. <i>Current
    Opinion in Cell Biology</i>. 2019;60:114-120. doi:<a href="https://doi.org/10.1016/j.ceb.2019.05.007">10.1016/j.ceb.2019.05.007</a>
  apa: Godard, B. G., &#38; Heisenberg, C.-P. J. (2019). Cell division and tissue
    mechanics. <i>Current Opinion in Cell Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.ceb.2019.05.007">https://doi.org/10.1016/j.ceb.2019.05.007</a>
  chicago: Godard, Benoit G, and Carl-Philipp J Heisenberg. “Cell Division and Tissue
    Mechanics.” <i>Current Opinion in Cell Biology</i>. Elsevier, 2019. <a href="https://doi.org/10.1016/j.ceb.2019.05.007">https://doi.org/10.1016/j.ceb.2019.05.007</a>.
  ieee: B. G. Godard and C.-P. J. Heisenberg, “Cell division and tissue mechanics,”
    <i>Current Opinion in Cell Biology</i>, vol. 60. Elsevier, pp. 114–120, 2019.
  ista: Godard BG, Heisenberg C-PJ. 2019. Cell division and tissue mechanics. Current
    Opinion in Cell Biology. 60, 114–120.
  mla: Godard, Benoit G., and Carl-Philipp J. Heisenberg. “Cell Division and Tissue
    Mechanics.” <i>Current Opinion in Cell Biology</i>, vol. 60, Elsevier, 2019, pp.
    114–20, doi:<a href="https://doi.org/10.1016/j.ceb.2019.05.007">10.1016/j.ceb.2019.05.007</a>.
  short: B.G. Godard, C.-P.J. Heisenberg, Current Opinion in Cell Biology 60 (2019)
    114–120.
date_created: 2019-07-14T21:59:17Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2023-08-29T06:33:14Z
day: '01'
department:
- _id: CaHe
doi: 10.1016/j.ceb.2019.05.007
external_id:
  isi:
  - '000486545800016'
intvolume: '        60'
isi: 1
language:
- iso: eng
month: '10'
oa_version: None
page: 114-120
publication: Current Opinion in Cell Biology
publication_identifier:
  issn:
  - 0955-0674
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cell division and tissue mechanics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 60
year: '2019'
...
