---
_id: '9781'
abstract:
- lang: eng
text: We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers,
and a quadratic lower bound in terms of the distance to the minimizer. The latter
follows from nondegeneracy of the Hessian at the minimum.
acknowledgement: We are grateful for the hospitality at the Mittag-Leffler Institute,
where part of this work has been done. The work of the authors was supported by
the European Research Council (ERC)under the European Union's Horizon 2020 research
and innovation programme grant 694227.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of
the Pekar functional on a ball. SIAM Journal on Mathematical Analysis.
2020;52(1):605-622. doi:10.1137/19m126284x
apa: Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy
of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical
Analysis. Society for Industrial & Applied Mathematics . https://doi.org/10.1137/19m126284x
chicago: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy
of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.
ieee: D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis,
vol. 52, no. 1. Society for Industrial & Applied Mathematics , pp. 605–622,
2020.
ista: Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1),
605–622.
mla: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of
Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis, vol. 52, no. 1, Society for Industrial & Applied Mathematics
, 2020, pp. 605–22, doi:10.1137/19m126284x.
short: D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020)
605–622.
date_created: 2021-08-06T07:34:16Z
date_published: 2020-02-12T00:00:00Z
date_updated: 2023-09-07T13:30:11Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1137/19m126284x
ec_funded: 1
external_id:
arxiv:
- '1904.08647 '
isi:
- '000546967700022'
has_accepted_license: '1'
intvolume: ' 52'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.08647
month: '02'
oa: 1
oa_version: Preprint
page: 605-622
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
eissn:
- 1095-7154
issn:
- 0036-1410
publication_status: published
publisher: 'Society for Industrial & Applied Mathematics '
quality_controlled: '1'
related_material:
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
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volume: 52
year: '2020'
...
---
_id: '9798'
abstract:
- lang: eng
text: Fitness interactions between mutations can influence a population’s evolution
in many different ways. While epistatic effects are difficult to measure precisely,
important information is captured by the mean and variance of log fitnesses for
individuals carrying different numbers of mutations. We derive predictions for
these quantities from a class of simple fitness landscapes, based on models of
optimizing selection on quantitative traits. We also explore extensions to the
models, including modular pleiotropy, variable effect sizes, mutational bias and
maladaptation of the wild type. We illustrate our approach by reanalysing a large
dataset of mutant effects in a yeast snoRNA. Though characterized by some large
epistatic effects, these data give a good overall fit to the non-epistatic null
model, suggesting that epistasis might have limited influence on the evolutionary
dynamics in this system. We also show how the amount of epistasis depends on both
the underlying fitness landscape and the distribution of mutations, and so is
expected to vary in consistent ways between new mutations, standing variation
and fixed mutations.
article_processing_charge: No
author:
- first_name: Christelle
full_name: Fraisse, Christelle
id: 32DF5794-F248-11E8-B48F-1D18A9856A87
last_name: Fraisse
orcid: 0000-0001-8441-5075
- first_name: John J.
full_name: Welch, John J.
last_name: Welch
citation:
ama: Fraisse C, Welch JJ. Simulation code for Fig S2 from the distribution of epistasis
on simple fitness landscapes. 2020. doi:10.6084/m9.figshare.7957472.v1
apa: Fraisse, C., & Welch, J. J. (2020). Simulation code for Fig S2 from the
distribution of epistasis on simple fitness landscapes. Royal Society of London.
https://doi.org/10.6084/m9.figshare.7957472.v1
chicago: Fraisse, Christelle, and John J. Welch. “Simulation Code for Fig S2 from
the Distribution of Epistasis on Simple Fitness Landscapes.” Royal Society of
London, 2020. https://doi.org/10.6084/m9.figshare.7957472.v1.
ieee: C. Fraisse and J. J. Welch, “Simulation code for Fig S2 from the distribution
of epistasis on simple fitness landscapes.” Royal Society of London, 2020.
ista: Fraisse C, Welch JJ. 2020. Simulation code for Fig S2 from the distribution
of epistasis on simple fitness landscapes, Royal Society of London, 10.6084/m9.figshare.7957472.v1.
mla: Fraisse, Christelle, and John J. Welch. Simulation Code for Fig S2 from
the Distribution of Epistasis on Simple Fitness Landscapes. Royal Society
of London, 2020, doi:10.6084/m9.figshare.7957472.v1.
short: C. Fraisse, J.J. Welch, (2020).
date_created: 2021-08-06T11:18:15Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-08-25T10:34:41Z
day: '15'
department:
- _id: BeVi
- _id: NiBa
doi: 10.6084/m9.figshare.7957472.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.7957472.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society of London
related_material:
record:
- id: '6467'
relation: used_in_publication
status: public
status: public
title: Simulation code for Fig S2 from the distribution of epistasis on simple fitness
landscapes
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '9799'
abstract:
- lang: eng
text: Fitness interactions between mutations can influence a population’s evolution
in many different ways. While epistatic effects are difficult to measure precisely,
important information is captured by the mean and variance of log fitnesses for
individuals carrying different numbers of mutations. We derive predictions for
these quantities from a class of simple fitness landscapes, based on models of
optimizing selection on quantitative traits. We also explore extensions to the
models, including modular pleiotropy, variable effect sizes, mutational bias and
maladaptation of the wild type. We illustrate our approach by reanalysing a large
dataset of mutant effects in a yeast snoRNA. Though characterized by some large
epistatic effects, these data give a good overall fit to the non-epistatic null
model, suggesting that epistasis might have limited influence on the evolutionary
dynamics in this system. We also show how the amount of epistasis depends on both
the underlying fitness landscape and the distribution of mutations, and so is
expected to vary in consistent ways between new mutations, standing variation
and fixed mutations.
article_processing_charge: No
author:
- first_name: Christelle
full_name: Fraisse, Christelle
id: 32DF5794-F248-11E8-B48F-1D18A9856A87
last_name: Fraisse
orcid: 0000-0001-8441-5075
- first_name: John J.
full_name: Welch, John J.
last_name: Welch
citation:
ama: Fraisse C, Welch JJ. Simulation code for Fig S1 from the distribution of epistasis
on simple fitness landscapes. 2020. doi:10.6084/m9.figshare.7957469.v1
apa: Fraisse, C., & Welch, J. J. (2020). Simulation code for Fig S1 from the
distribution of epistasis on simple fitness landscapes. Royal Society of London.
https://doi.org/10.6084/m9.figshare.7957469.v1
chicago: Fraisse, Christelle, and John J. Welch. “Simulation Code for Fig S1 from
the Distribution of Epistasis on Simple Fitness Landscapes.” Royal Society of
London, 2020. https://doi.org/10.6084/m9.figshare.7957469.v1.
ieee: C. Fraisse and J. J. Welch, “Simulation code for Fig S1 from the distribution
of epistasis on simple fitness landscapes.” Royal Society of London, 2020.
ista: Fraisse C, Welch JJ. 2020. Simulation code for Fig S1 from the distribution
of epistasis on simple fitness landscapes, Royal Society of London, 10.6084/m9.figshare.7957469.v1.
mla: Fraisse, Christelle, and John J. Welch. Simulation Code for Fig S1 from
the Distribution of Epistasis on Simple Fitness Landscapes. Royal Society
of London, 2020, doi:10.6084/m9.figshare.7957469.v1.
short: C. Fraisse, J.J. Welch, (2020).
date_created: 2021-08-06T11:26:57Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-08-25T10:34:41Z
day: '15'
department:
- _id: BeVi
- _id: NiBa
doi: 10.6084/m9.figshare.7957469.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.7957469.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society of London
related_material:
record:
- id: '6467'
relation: used_in_publication
status: public
status: public
title: Simulation code for Fig S1 from the distribution of epistasis on simple fitness
landscapes
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '9814'
abstract:
- lang: eng
text: Data and mathematica notebooks for plotting figures from Language learning
with communication between learners
article_processing_charge: No
author:
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Data and mathematica notebooks
for plotting figures from language learning with communication between learners
from language acquisition with communication between learners. 2020. doi:10.6084/m9.figshare.5973013.v1
apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2020). Data
and mathematica notebooks for plotting figures from language learning with communication
between learners from language acquisition with communication between learners.
Royal Society. https://doi.org/10.6084/m9.figshare.5973013.v1
chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning
with Communication between Learners from Language Acquisition with Communication
between Learners.” Royal Society, 2020. https://doi.org/10.6084/m9.figshare.5973013.v1.
ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica
notebooks for plotting figures from language learning with communication between
learners from language acquisition with communication between learners.” Royal
Society, 2020.
ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica
notebooks for plotting figures from language learning with communication between
learners from language acquisition with communication between learners, Royal
Society, 10.6084/m9.figshare.5973013.v1.
mla: Ibsen-Jensen, Rasmus, et al. Data and Mathematica Notebooks for Plotting
Figures from Language Learning with Communication between Learners from Language
Acquisition with Communication between Learners. Royal Society, 2020, doi:10.6084/m9.figshare.5973013.v1.
short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020).
date_created: 2021-08-06T13:09:57Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '15'
department:
- _id: KrCh
doi: 10.6084/m9.figshare.5973013.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.5973013.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society
related_material:
record:
- id: '198'
relation: used_in_publication
status: public
status: public
title: Data and mathematica notebooks for plotting figures from language learning
with communication between learners from language acquisition with communication
between learners
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '9878'
article_processing_charge: No
author:
- first_name: Chitrak
full_name: Gupta, Chitrak
last_name: Gupta
- first_name: Umesh
full_name: Khaniya, Umesh
last_name: Khaniya
- first_name: Chun Kit
full_name: Chan, Chun Kit
last_name: Chan
- first_name: Francois
full_name: Dehez, Francois
last_name: Dehez
- first_name: Mrinal
full_name: Shekhar, Mrinal
last_name: Shekhar
- first_name: M.R.
full_name: Gunner, M.R.
last_name: Gunner
- first_name: Leonid A
full_name: Sazanov, Leonid A
id: 338D39FE-F248-11E8-B48F-1D18A9856A87
last_name: Sazanov
orcid: 0000-0002-0977-7989
- first_name: Christophe
full_name: Chipot, Christophe
last_name: Chipot
- first_name: Abhishek
full_name: Singharoy, Abhishek
last_name: Singharoy
citation:
ama: Gupta C, Khaniya U, Chan CK, et al. Movies. 2020. doi:10.1021/jacs.9b13450.s002
apa: Gupta, C., Khaniya, U., Chan, C. K., Dehez, F., Shekhar, M., Gunner, M. R.,
… Singharoy, A. (2020). Movies. American Chemical Society. https://doi.org/10.1021/jacs.9b13450.s002
chicago: Gupta, Chitrak, Umesh Khaniya, Chun Kit Chan, Francois Dehez, Mrinal Shekhar,
M.R. Gunner, Leonid A Sazanov, Christophe Chipot, and Abhishek Singharoy. “Movies.”
American Chemical Society, 2020. https://doi.org/10.1021/jacs.9b13450.s002.
ieee: C. Gupta et al., “Movies.” American Chemical Society, 2020.
ista: Gupta C, Khaniya U, Chan CK, Dehez F, Shekhar M, Gunner MR, Sazanov LA, Chipot
C, Singharoy A. 2020. Movies, American Chemical Society, 10.1021/jacs.9b13450.s002.
mla: Gupta, Chitrak, et al. Movies. American Chemical Society, 2020, doi:10.1021/jacs.9b13450.s002.
short: C. Gupta, U. Khaniya, C.K. Chan, F. Dehez, M. Shekhar, M.R. Gunner, L.A.
Sazanov, C. Chipot, A. Singharoy, (2020).
date_created: 2021-08-11T09:18:54Z
date_published: 2020-05-20T00:00:00Z
date_updated: 2023-08-22T07:49:38Z
day: '20'
department:
- _id: LeSa
doi: 10.1021/jacs.9b13450.s002
month: '05'
oa_version: Published Version
publisher: American Chemical Society
related_material:
record:
- id: '8040'
relation: used_in_publication
status: public
status: public
title: Movies
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '9885'
abstract:
- lang: eng
text: Data obtained from the fine-grained simulations used in Figures 2-5, data
obtained from the coarse-grained numerical calculations used in Figure 6, and
a sample script for the fine-grained simulation as a Jupyter notebook (ZIP)
article_processing_charge: No
author:
- first_name: Mehmet C
full_name: Ucar, Mehmet C
id: 50B2A802-6007-11E9-A42B-EB23E6697425
last_name: Ucar
orcid: 0000-0003-0506-4217
- first_name: Reinhard
full_name: Lipowsky, Reinhard
last_name: Lipowsky
citation:
ama: Ucar MC, Lipowsky R. MURL_Dataz. 2020. doi:10.1021/acs.nanolett.9b04445.s002
apa: Ucar, M. C., & Lipowsky, R. (2020). MURL_Dataz. American Chemical Society
. https://doi.org/10.1021/acs.nanolett.9b04445.s002
chicago: Ucar, Mehmet C, and Reinhard Lipowsky. “MURL_Dataz.” American Chemical
Society , 2020. https://doi.org/10.1021/acs.nanolett.9b04445.s002.
ieee: M. C. Ucar and R. Lipowsky, “MURL_Dataz.” American Chemical Society , 2020.
ista: Ucar MC, Lipowsky R. 2020. MURL_Dataz, American Chemical Society , 10.1021/acs.nanolett.9b04445.s002.
mla: Ucar, Mehmet C., and Reinhard Lipowsky. MURL_Dataz. American Chemical
Society , 2020, doi:10.1021/acs.nanolett.9b04445.s002.
short: M.C. Ucar, R. Lipowsky, (2020).
date_created: 2021-08-11T13:16:03Z
date_published: 2020-01-08T00:00:00Z
date_updated: 2023-08-17T14:07:52Z
day: '08'
department:
- _id: EdHa
doi: 10.1021/acs.nanolett.9b04445.s002
month: '01'
oa_version: Published Version
publisher: 'American Chemical Society '
related_material:
record:
- id: '7166'
relation: used_in_publication
status: public
status: public
title: MURL_Dataz
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '27'
abstract:
- lang: eng
text: The cerebral cortex is composed of a large variety of distinct cell-types
including projection neurons, interneurons and glial cells which emerge from distinct
neural stem cell (NSC) lineages. The vast majority of cortical projection neurons
and certain classes of glial cells are generated by radial glial progenitor cells
(RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis
and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated
in a profound deterministic manner. In this review we focus on recent advances
based mainly on correlative phenotypic data emerging from functional genetic studies
in mice. We establish hypotheses to test in future research and outline a conceptual
framework how epigenetic cues modulate the generation of cell-type diversity during
cortical development. This article is protected by copyright. All rights reserved.
acknowledgement: " This work was supported by IST Austria institutional funds; NÖ
Forschung und Bildung \r\nn[f+b] (C13-002) to SH; a program grant from
\ the Human Frontiers Science Program (RGP0053/2014) to SH; the People
\ Programme (Marie Curie Actions) of the European Union’s Seventh Framework
Programme (FP7/2007-2013) under REA grant agreement No 618444 to SH, and the European
\ Research Council (ERC) under the European Union’s Horizon 2020 research
\ and innovation programme (grant agreement No 725780 LinPro)to SH.\r\n"
article_processing_charge: Yes (via OA deal)
article_type: review
author:
- first_name: Nicole
full_name: Amberg, Nicole
id: 4CD6AAC6-F248-11E8-B48F-1D18A9856A87
last_name: Amberg
orcid: 0000-0002-3183-8207
- first_name: Susanne
full_name: Laukoter, Susanne
id: 2D6B7A9A-F248-11E8-B48F-1D18A9856A87
last_name: Laukoter
orcid: 0000-0002-7903-3010
- first_name: Simon
full_name: Hippenmeyer, Simon
id: 37B36620-F248-11E8-B48F-1D18A9856A87
last_name: Hippenmeyer
orcid: 0000-0003-2279-1061
citation:
ama: Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation
of cell type diversity in the cerebral cortex. Journal of Neurochemistry.
2019;149(1):12-26. doi:10.1111/jnc.14601
apa: Amberg, N., Laukoter, S., & Hippenmeyer, S. (2019). Epigenetic cues modulating
the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry.
Wiley. https://doi.org/10.1111/jnc.14601
chicago: Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues
Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” Journal
of Neurochemistry. Wiley, 2019. https://doi.org/10.1111/jnc.14601.
ieee: N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the
generation of cell type diversity in the cerebral cortex,” Journal of Neurochemistry,
vol. 149, no. 1. Wiley, pp. 12–26, 2019.
ista: Amberg N, Laukoter S, Hippenmeyer S. 2019. Epigenetic cues modulating the
generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry.
149(1), 12–26.
mla: Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type
Diversity in the Cerebral Cortex.” Journal of Neurochemistry, vol. 149,
no. 1, Wiley, 2019, pp. 12–26, doi:10.1111/jnc.14601.
short: N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019)
12–26.
date_created: 2018-12-11T11:44:14Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-09-11T13:40:26Z
day: '01'
ddc:
- '570'
department:
- _id: SiHi
doi: 10.1111/jnc.14601
ec_funded: 1
external_id:
isi:
- '000462680200002'
file:
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checksum: db027721a95d36f5de36aadcd0bdf7e6
content_type: application/pdf
creator: kschuh
date_created: 2020-01-07T13:35:52Z
date_updated: 2020-07-14T12:45:45Z
file_id: '7239'
file_name: 2019_Wiley_Amberg.pdf
file_size: 889709
relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
intvolume: ' 149'
isi: 1
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 12-26
project:
- _id: 25D92700-B435-11E9-9278-68D0E5697425
grant_number: LS13-002
name: Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain
- _id: 25D7962E-B435-11E9-9278-68D0E5697425
grant_number: RGP0053/2014
name: Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal
Level
- _id: 25D61E48-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '618444'
name: Molecular Mechanisms of Cerebral Cortex Development
- _id: 260018B0-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '725780'
name: Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development
publication: Journal of Neurochemistry
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Epigenetic cues modulating the generation of cell type diversity in the cerebral
cortex
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 149
year: '2019'
...
---
_id: '301'
abstract:
- lang: eng
text: A representation formula for solutions of stochastic partial differential
equations with Dirichlet boundary conditions is proved. The scope of our setting
is wide enough to cover the general situation when the backward characteristics
that appear in the usual formulation are not even defined in the Itô sense.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mate
full_name: Gerencser, Mate
id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87
last_name: Gerencser
- first_name: István
full_name: Gyöngy, István
last_name: Gyöngy
citation:
ama: Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems.
Stochastic Processes and their Applications. 2019;129(3):995-1012. doi:10.1016/j.spa.2018.04.003
apa: Gerencser, M., & Gyöngy, I. (2019). A Feynman–Kac formula for stochastic
Dirichlet problems. Stochastic Processes and Their Applications. Elsevier.
https://doi.org/10.1016/j.spa.2018.04.003
chicago: Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic
Dirichlet Problems.” Stochastic Processes and Their Applications. Elsevier,
2019. https://doi.org/10.1016/j.spa.2018.04.003.
ieee: M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet
problems,” Stochastic Processes and their Applications, vol. 129, no. 3.
Elsevier, pp. 995–1012, 2019.
ista: Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet
problems. Stochastic Processes and their Applications. 129(3), 995–1012.
mla: Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet
Problems.” Stochastic Processes and Their Applications, vol. 129, no. 3,
Elsevier, 2019, pp. 995–1012, doi:10.1016/j.spa.2018.04.003.
short: M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129
(2019) 995–1012.
date_created: 2018-12-11T11:45:42Z
date_published: 2019-03-01T00:00:00Z
date_updated: 2023-08-24T14:20:49Z
day: '01'
department:
- _id: JaMa
doi: 10.1016/j.spa.2018.04.003
external_id:
arxiv:
- '1611.04177'
isi:
- '000458945300012'
intvolume: ' 129'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1611.04177
month: '03'
oa: 1
oa_version: Preprint
page: 995-1012
publication: Stochastic Processes and their Applications
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: A Feynman–Kac formula for stochastic Dirichlet problems
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 129
year: '2019'
...
---
_id: '319'
abstract:
- lang: eng
text: We study spaces of modelled distributions with singular behaviour near the
boundary of a domain that, in the context of the theory of regularity structures,
allow one to give robust solution theories for singular stochastic PDEs with boundary
conditions. The calculus of modelled distributions established in Hairer (Invent
Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended
to this setting. We formulate and solve fixed point problems in these spaces with
a class of kernels that is sufficiently large to cover in particular the Dirichlet
and Neumann heat kernels. These results are then used to provide solution theories
for the KPZ equation with Dirichlet and Neumann boundary conditions and for the
2D generalised parabolic Anderson model with Dirichlet boundary conditions. In
the case of the KPZ equation with Neumann boundary conditions, we show that, depending
on the class of mollifiers one considers, a “boundary renormalisation” takes place.
In other words, there are situations in which a certain boundary condition is
applied to an approximation to the KPZ equation, but the limiting process is the
Hopf–Cole solution to the KPZ equation with a different boundary condition.
acknowledgement: "MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n"
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Mate
full_name: Gerencser, Mate
id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87
last_name: Gerencser
- first_name: Martin
full_name: Hairer, Martin
last_name: Hairer
citation:
ama: Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. Probability
Theory and Related Fields. 2019;173(3-4):697–758. doi:10.1007/s00440-018-0841-1
apa: Gerencser, M., & Hairer, M. (2019). Singular SPDEs in domains with boundaries.
Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0841-1
chicago: Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.”
Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0841-1.
ieee: M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” Probability
Theory and Related Fields, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.
ista: Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability
Theory and Related Fields. 173(3–4), 697–758.
mla: Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.”
Probability Theory and Related Fields, vol. 173, no. 3–4, Springer, 2019,
pp. 697–758, doi:10.1007/s00440-018-0841-1.
short: M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019)
697–758.
date_created: 2018-12-11T11:45:48Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-08-24T14:38:32Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s00440-018-0841-1
external_id:
isi:
- '000463613800001'
file:
- access_level: open_access
checksum: 288d16ef7291242f485a9660979486e3
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T16:25:24Z
date_updated: 2020-07-14T12:46:03Z
file_id: '5722'
file_name: 2018_ProbTheory_Gerencser.pdf
file_size: 893182
relation: main_file
file_date_updated: 2020-07-14T12:46:03Z
has_accepted_license: '1'
intvolume: ' 173'
isi: 1
issue: 3-4
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 697–758
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Probability Theory and Related Fields
publication_identifier:
eissn:
- '14322064'
issn:
- '01788051'
publication_status: published
publisher: Springer
publist_id: '7546'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Singular SPDEs in domains with boundaries
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: 173
year: '2019'
...
---
_id: '10874'
abstract:
- lang: eng
text: In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler,
and Zykin, which allows us to connect invariants of binary octics to Siegel modular
forms of genus 3. We use this connection to show that certain modular functions,
when restricted to the hyperelliptic locus, assume values whose denominators are
products of powers of primes of bad reduction for the associated hyperelliptic
curves. We illustrate our theorem with explicit computations. This work is motivated
by the study of the values of these modular functions at CM points of the Siegel
upper half-space, which, if their denominators are known, can be used to effectively
compute models of (hyperelliptic, in our case) curves with CM.
acknowledgement: "The authors would like to thank the Lorentz Center in Leiden for
hosting the Women in Numbers Europe 2 workshop and providing a productive and enjoyable
environment for our initial work on this project. We are grateful to the organizers
of WIN-E2, Irene Bouw, Rachel Newton and Ekin Ozman, for making this conference
and this collaboration possible. We\r\nthank Irene Bouw and Christophe Ritzenhaler
for helpful discussions. Ionica acknowledges support from the Thomas Jefferson Fund
of the Embassy of France in the United States and the FACE Foundation. Most of Kılıçer’s
work was carried out during her stay in Universiteit Leiden and Carl von Ossietzky
Universität Oldenburg. Massierer was supported by the Australian Research Council
(DP150101689). Vincent is supported by the National Science Foundation under Grant
No. DMS-1802323 and by the Thomas Jefferson Fund of the Embassy of France in the
United States and the FACE Foundation. "
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sorina
full_name: Ionica, Sorina
last_name: Ionica
- first_name: Pınar
full_name: Kılıçer, Pınar
last_name: Kılıçer
- first_name: Kristin
full_name: Lauter, Kristin
last_name: Lauter
- first_name: Elisa
full_name: Lorenzo García, Elisa
last_name: Lorenzo García
- first_name: Maria-Adelina
full_name: Manzateanu, Maria-Adelina
id: be8d652e-a908-11ec-82a4-e2867729459c
last_name: Manzateanu
- first_name: Maike
full_name: Massierer, Maike
last_name: Massierer
- first_name: Christelle
full_name: Vincent, Christelle
last_name: Vincent
citation:
ama: Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic
curves. Research in Number Theory. 2019;5. doi:10.1007/s40993-018-0146-6
apa: Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A.,
Massierer, M., & Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic
curves. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-018-0146-6
chicago: Ionica, Sorina, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Maria-Adelina
Manzateanu, Maike Massierer, and Christelle Vincent. “Modular Invariants for Genus
3 Hyperelliptic Curves.” Research in Number Theory. Springer Nature, 2019.
https://doi.org/10.1007/s40993-018-0146-6.
ieee: S. Ionica et al., “Modular invariants for genus 3 hyperelliptic curves,”
Research in Number Theory, vol. 5. Springer Nature, 2019.
ista: Ionica S, Kılıçer P, Lauter K, Lorenzo García E, Manzateanu M-A, Massierer
M, Vincent C. 2019. Modular invariants for genus 3 hyperelliptic curves. Research
in Number Theory. 5, 9.
mla: Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.”
Research in Number Theory, vol. 5, 9, Springer Nature, 2019, doi:10.1007/s40993-018-0146-6.
short: S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M.
Massierer, C. Vincent, Research in Number Theory 5 (2019).
date_created: 2022-03-18T12:09:48Z
date_published: 2019-01-02T00:00:00Z
date_updated: 2023-09-05T15:39:31Z
day: '02'
department:
- _id: TiBr
doi: 10.1007/s40993-018-0146-6
external_id:
arxiv:
- '1807.08986'
intvolume: ' 5'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1807.08986
month: '01'
oa: 1
oa_version: Preprint
publication: Research in Number Theory
publication_identifier:
eissn:
- 2363-9555
issn:
- 2522-0160
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modular invariants for genus 3 hyperelliptic curves
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 5
year: '2019'
...
---
_id: '10877'
abstract:
- lang: eng
text: 'This report presents the results of a friendly competition for formal verification
of continuous and hybrid systems with piecewise constant dynamics. The friendly
competition took place as part of the workshop Applied Verification for Continuous
and Hybrid Systems (ARCH) in 2019. In this third edition, six tools have been
applied to solve five different benchmark problems in the category for piecewise
constant dynamics: BACH, Lyse, Hy- COMP, PHAVer/SX, PHAVerLite, and VeriSiMPL.
Compared to last year, a new tool has participated (HyCOMP) and PHAVerLite has
replaced PHAVer-lite. The result is a snap- shot 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 probably provide
the most complete assessment of tools for the safety verification of continuous
and hybrid systems with piecewise constant dynamics up to this date.'
acknowledgement: "The authors gratefully acknowledge \fnancial support by the European
Commission project\r\nUnCoVerCPS under grant number 643921. Lei Bu is supported
by the National Natural Science\r\nFoundation of China (No.61572249)."
alternative_title:
- EPiC Series in Computing
article_processing_charge: No
author:
- first_name: Goran
full_name: Frehse, Goran
last_name: Frehse
- first_name: Alessandro
full_name: Abate, Alessandro
last_name: Abate
- first_name: Dieky
full_name: Adzkiya, Dieky
last_name: Adzkiya
- first_name: Anna
full_name: Becchi, Anna
last_name: Becchi
- first_name: Lei
full_name: Bu, Lei
last_name: Bu
- first_name: Alessandro
full_name: Cimatti, Alessandro
last_name: Cimatti
- first_name: Mirco
full_name: Giacobbe, Mirco
id: 3444EA5E-F248-11E8-B48F-1D18A9856A87
last_name: Giacobbe
orcid: 0000-0001-8180-0904
- first_name: Alberto
full_name: Griggio, Alberto
last_name: Griggio
- first_name: Sergio
full_name: Mover, Sergio
last_name: Mover
- first_name: Muhammad Syifa'ul
full_name: Mufid, Muhammad Syifa'ul
last_name: Mufid
- first_name: Idriss
full_name: Riouak, Idriss
last_name: Riouak
- first_name: Stefano
full_name: Tonetta, Stefano
last_name: Tonetta
- first_name: Enea
full_name: Zaffanella, Enea
last_name: Zaffanella
citation:
ama: 'Frehse G, Abate A, Adzkiya D, et al. ARCH-COMP19 Category Report: Hybrid systems
with piecewise constant dynamics. In: Frehse G, Althoff M, eds. ARCH19. 6th
International Workshop on Applied Verification of Continuous and Hybrid Systems.
Vol 61. EasyChair; 2019:1-13. doi:10.29007/rjwn'
apa: 'Frehse, G., Abate, A., Adzkiya, D., Becchi, A., Bu, L., Cimatti, A., … Zaffanella,
E. (2019). ARCH-COMP19 Category Report: Hybrid systems with piecewise constant
dynamics. In G. Frehse & M. Althoff (Eds.), ARCH19. 6th International Workshop
on Applied Verification of Continuous and Hybrid Systems (Vol. 61, pp. 1–13).
Montreal, Canada: EasyChair. https://doi.org/10.29007/rjwn'
chicago: 'Frehse, Goran, Alessandro Abate, Dieky Adzkiya, Anna Becchi, Lei Bu, Alessandro
Cimatti, Mirco Giacobbe, et al. “ARCH-COMP19 Category Report: Hybrid Systems with
Piecewise Constant Dynamics.” In ARCH19. 6th International Workshop on Applied
Verification of Continuous and Hybrid Systems, edited by Goran Frehse and
Matthias Althoff, 61:1–13. EasyChair, 2019. https://doi.org/10.29007/rjwn.'
ieee: 'G. Frehse et al., “ARCH-COMP19 Category Report: Hybrid systems with
piecewise constant dynamics,” in ARCH19. 6th International Workshop on Applied
Verification of Continuous and Hybrid Systems, Montreal, Canada, 2019, vol.
61, pp. 1–13.'
ista: 'Frehse G, Abate A, Adzkiya D, Becchi A, Bu L, Cimatti A, Giacobbe M, Griggio
A, Mover S, Mufid MS, Riouak I, Tonetta S, Zaffanella E. 2019. ARCH-COMP19 Category
Report: Hybrid systems with piecewise constant dynamics. ARCH19. 6th International
Workshop on Applied Verification of Continuous and Hybrid Systems. ARCH: International
Workshop on Applied Verification on Continuous and Hybrid Systems, EPiC Series
in Computing, vol. 61, 1–13.'
mla: 'Frehse, Goran, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise
Constant Dynamics.” ARCH19. 6th International Workshop on Applied Verification
of Continuous and Hybrid Systems, edited by Goran Frehse and Matthias Althoff,
vol. 61, EasyChair, 2019, pp. 1–13, doi:10.29007/rjwn.'
short: G. Frehse, A. Abate, D. Adzkiya, A. Becchi, L. Bu, A. Cimatti, M. Giacobbe,
A. Griggio, S. Mover, M.S. Mufid, I. Riouak, S. Tonetta, E. Zaffanella, in:, G.
Frehse, M. Althoff (Eds.), ARCH19. 6th International Workshop on Applied Verification
of Continuous and Hybrid Systems, EasyChair, 2019, pp. 1–13.
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: 2022-03-18T12:29:23Z
date_published: 2019-05-25T00:00:00Z
date_updated: 2022-05-17T07:09:47Z
day: '25'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.29007/rjwn
editor:
- first_name: Goran
full_name: Frehse, Goran
last_name: Frehse
- first_name: Matthias
full_name: Althoff, Matthias
last_name: Althoff
file:
- access_level: open_access
checksum: 4b92e333db7b4e2349501a804dfede69
content_type: application/pdf
creator: dernst
date_created: 2022-05-17T06:55:49Z
date_updated: 2022-05-17T06:55:49Z
file_id: '11391'
file_name: 2019_EPiCs_Frehse.pdf
file_size: 346415
relation: main_file
success: 1
file_date_updated: 2022-05-17T06:55:49Z
has_accepted_license: '1'
intvolume: ' 61'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 1-13
publication: ARCH19. 6th International Workshop on Applied Verification of Continuous
and Hybrid Systems
publication_identifier:
issn:
- 2398-7340
publication_status: published
publisher: EasyChair
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2019'
...
---
_id: '10878'
abstract:
- lang: eng
text: Starting from a microscopic model for a system of neurons evolving in time
which individually follow a stochastic integrate-and-fire type model, we study
a mean-field limit of the system. Our model is described by a system of SDEs with
discontinuous coefficients for the action potential of each neuron and takes into
account the (random) spatial configuration of neurons allowing the interaction
to depend on it. In the limit as the number of particles tends to infinity, we
obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only
with respect to one variable and discontinuous coefficients. We also study strong
well-posedness of the system of SDEs and prove the existence and uniqueness of
a weak measure-valued solution to the PDE, obtained as the limit of the laws of
the empirical measures for the system of particles.
acknowledgement: "The second author has been partially supported by INdAM through
the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione
e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian
Science Fund (FWF) project F 65."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Franco
full_name: Flandoli, Franco
last_name: Flandoli
- first_name: Enrico
full_name: Priola, Enrico
last_name: Priola
- first_name: Giovanni A
full_name: Zanco, Giovanni A
id: 47491882-F248-11E8-B48F-1D18A9856A87
last_name: Zanco
citation:
ama: Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients
for neurons with spatial interaction. Discrete and Continuous Dynamical Systems.
2019;39(6):3037-3067. doi:10.3934/dcds.2019126
apa: Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with
discontinuous coefficients for neurons with spatial interaction. Discrete and
Continuous Dynamical Systems. American Institute of Mathematical Sciences.
https://doi.org/10.3934/dcds.2019126
chicago: Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model
with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete
and Continuous Dynamical Systems. American Institute of Mathematical Sciences,
2019. https://doi.org/10.3934/dcds.2019126.
ieee: F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous
coefficients for neurons with spatial interaction,” Discrete and Continuous
Dynamical Systems, vol. 39, no. 6. American Institute of Mathematical Sciences,
pp. 3037–3067, 2019.
ista: Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous
coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical
Systems. 39(6), 3037–3067.
mla: Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients
for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems,
vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67,
doi:10.3934/dcds.2019126.
short: F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems
39 (2019) 3037–3067.
date_created: 2022-03-18T12:33:34Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2023-09-08T11:34:45Z
day: '01'
department:
- _id: JaMa
doi: 10.3934/dcds.2019126
external_id:
arxiv:
- '1708.04156'
isi:
- '000459954800003'
intvolume: ' 39'
isi: 1
issue: '6'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1708.04156
month: '06'
oa: 1
oa_version: Preprint
page: 3037-3067
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Discrete and Continuous Dynamical Systems
publication_identifier:
issn:
- 1553-5231
publication_status: published
publisher: American Institute of Mathematical Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: A mean-field model with discontinuous coefficients for neurons with spatial
interaction
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 39
year: '2019'
...
---
_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.
Journal of Spectral Theory. 2019;9(3):921-965. doi:10.4171/jst/267
apa: Dietlein, A. M., 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. European Mathematical
Society Publishing House. https://doi.org/10.4171/jst/267
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.” Journal of Spectral Theory. European
Mathematical Society Publishing House, 2019. https://doi.org/10.4171/jst/267.
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,” Journal of Spectral Theory, 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.”
Journal of Spectral Theory, vol. 9, no. 3, European Mathematical Society
Publishing House, 2019, pp. 921–65, doi:10.4171/jst/267.
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: Intrinsic
Activity. Vol 7. Austrian Pharmacological Society; 2019. doi:10.25006/ia.7.s1-a3.27'
apa: 'Kim, O., Borges Merjane, C., & Jonas, P. M. (2019). Functional analysis
of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy.
In Intrinsic Activity (Vol. 7). Innsbruck, Austria: Austrian Pharmacological
Society. https://doi.org/10.25006/ia.7.s1-a3.27'
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 Intrinsic Activity, Vol. 7. Austrian Pharmacological Society, 2019.
https://doi.org/10.25006/ia.7.s1-a3.27.
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
Intrinsic Activity, 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.” Intrinsic Activity, vol.
7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:10.25006/ia.7.s1-a3.27.
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. arXiv.
apa: Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte,
A. (n.d.). Token swapping on trees. arXiv.
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.” ArXiv, n.d.
ieee: A. Biniaz et al., “Token swapping on trees,” arXiv. .
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.” ArXiv, 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. Journal
of Neuroscience. 2019;39(2):238-255. doi:10.1523/JNEUROSCI.1059-18.2018
apa: Trébuchet, G., Cattenoz, P. B., Zsámboki, J., Mazaud, D., Siekhaus, D. E.,
Fanto, M., & Giangrande, A. (2019). The Repo homeodomain transcription factor
suppresses hematopoiesis in Drosophila and preserves the glial fate. Journal
of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.1059-18.2018
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.” Journal of Neuroscience. Society for Neuroscience, 2019. https://doi.org/10.1523/JNEUROSCI.1059-18.2018.
ieee: G. Trébuchet et al., “The Repo homeodomain transcription factor suppresses
hematopoiesis in Drosophila and preserves the glial fate,” Journal of Neuroscience,
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.” Journal of Neuroscience,
vol. 39, no. 2, Society for Neuroscience, 2019, pp. 238–55, doi:10.1523/JNEUROSCI.1059-18.2018.
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. Communications in Mathematical Physics.
2019;368(2):723-776. doi:10.1007/s00220-018-3239-0
apa: Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation
in a dilute, trapped gas at positive temperature. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0
chicago: Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein
Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications
in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.
ieee: A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in
a dilute, trapped gas at positive temperature,” Communications in Mathematical
Physics, 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.” Communications in Mathematical Physics, vol.
368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
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: Proceedings on the 31st International Conference
on Formal Power Series and Algebraic Combinatorics. Formal Power Series and
Algebraic Combinatorics; 2019.'
apa: 'Betea, D., Bouttier, J., Nejjar, P., & Vuletíc, M. (2019). New edge asymptotics
of skew Young diagrams via free boundaries. In Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics. 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 Proceedings on
the 31st International Conference on Formal Power Series and Algebraic Combinatorics.
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 Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics, 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.”
Proceedings on the 31st International Conference on Formal Power Series and
Algebraic Combinatorics, 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. arXiv.
apa: Avvakumov, S., & Kudrya, S. (n.d.). Vanishing of all equivariant obstructions
and the mapping degree. arXiv. arXiv.
chicago: Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions
and the Mapping Degree.” ArXiv. arXiv, n.d.
ieee: S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and
the mapping degree,” arXiv. 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.” ArXiv, 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. arXiv.
apa: Avvakumov, S., Karasev, R., & Skopenkov, A. (n.d.). Stronger counterexamples
to the topological Tverberg conjecture. arXiv. arXiv.
chicago: Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples
to the Topological Tverberg Conjecture.” ArXiv. arXiv, n.d.
ieee: S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the
topological Tverberg conjecture,” arXiv. 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.” ArXiv, 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'
...