---
_id: '14739'
abstract:
- lang: eng
text: Attempts to incorporate topological information in supervised learning tasks
have resulted in the creation of several techniques for vectorizing persistent
homology barcodes. In this paper, we study thirteen such methods. Besides describing
an organizational framework for these methods, we comprehensively benchmark them
against three well-known classification tasks. Surprisingly, we discover that
the best-performing method is a simple vectorization, which consists only of a
few elementary summary statistics. Finally, we provide a convenient web application
which has been designed to facilitate exploration and experimentation with various
vectorization methods.
acknowledgement: "The work of Maria-Jose Jimenez, Eduardo Paluzo-Hidalgo and Manuel
Soriano-Trigueros was supported in part by the Spanish grant Ministerio de Ciencia
e Innovacion under Grants TED2021-129438B-I00 and PID2019-107339GB-I00, and in part
by REXASI-PRO H-EU project, call HORIZON-CL4-2021-HUMAN-01-01 under Grant 101070028.
The work of\r\nMaria-Jose Jimenez was supported by a grant of Convocatoria de la
Universidad de Sevilla para la recualificacion del sistema universitario español,
2021-23, funded by the European Union, NextGenerationEU. The work of Vidit Nanda
was supported in part by EPSRC under Grant EP/R018472/1 and in part by US AFOSR
under Grant FA9550-22-1-0462. \r\nWe are grateful to the team of GUDHI and TEASPOON
developers, for their work and their support. We are also grateful to Streamlit
for providing extra resources to deploy the web app\r\nonline on Streamlit community
cloud. We thank the anonymous referees for their helpful suggestions."
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Dashti
full_name: Ali, Dashti
last_name: Ali
- first_name: Aras
full_name: Asaad, Aras
last_name: Asaad
- first_name: Maria-Jose
full_name: Jimenez, Maria-Jose
last_name: Jimenez
- first_name: Vidit
full_name: Nanda, Vidit
last_name: Nanda
- first_name: Eduardo
full_name: Paluzo-Hidalgo, Eduardo
last_name: Paluzo-Hidalgo
- first_name: Manuel
full_name: Soriano Trigueros, Manuel
id: 15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8
last_name: Soriano Trigueros
orcid: 0000-0003-2449-1433
citation:
ama: Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M.
A survey of vectorization methods in topological data analysis. IEEE Transactions
on Pattern Analysis and Machine Intelligence. 2023;45(12):14069-14080. doi:10.1109/tpami.2023.3308391
apa: Ali, D., Asaad, A., Jimenez, M.-J., Nanda, V., Paluzo-Hidalgo, E., & Soriano
Trigueros, M. (2023). A survey of vectorization methods in topological data analysis.
IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE. https://doi.org/10.1109/tpami.2023.3308391
chicago: Ali, Dashti, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo,
and Manuel Soriano Trigueros. “A Survey of Vectorization Methods in Topological
Data Analysis.” IEEE Transactions on Pattern Analysis and Machine Intelligence.
IEEE, 2023. https://doi.org/10.1109/tpami.2023.3308391.
ieee: D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, and M. Soriano
Trigueros, “A survey of vectorization methods in topological data analysis,” IEEE
Transactions on Pattern Analysis and Machine Intelligence, vol. 45, no. 12.
IEEE, pp. 14069–14080, 2023.
ista: Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros
M. 2023. A survey of vectorization methods in topological data analysis. IEEE
Transactions on Pattern Analysis and Machine Intelligence. 45(12), 14069–14080.
mla: Ali, Dashti, et al. “A Survey of Vectorization Methods in Topological Data
Analysis.” IEEE Transactions on Pattern Analysis and Machine Intelligence,
vol. 45, no. 12, IEEE, 2023, pp. 14069–80, doi:10.1109/tpami.2023.3308391.
short: D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, M. Soriano
Trigueros, IEEE Transactions on Pattern Analysis and Machine Intelligence 45 (2023)
14069–14080.
date_created: 2024-01-08T09:59:46Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2024-01-08T10:11:46Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1109/tpami.2023.3308391
file:
- access_level: open_access
checksum: 465c28ef0b151b4b1fb47977ed5581ab
content_type: application/pdf
creator: dernst
date_created: 2024-01-08T10:09:14Z
date_updated: 2024-01-08T10:09:14Z
file_id: '14740'
file_name: 2023_IEEEToP_Ali.pdf
file_size: 2370988
relation: main_file
success: 1
file_date_updated: 2024-01-08T10:09:14Z
has_accepted_license: '1'
intvolume: ' 45'
issue: '12'
keyword:
- Applied Mathematics
- Artificial Intelligence
- Computational Theory and Mathematics
- Computer Vision and Pattern Recognition
- Software
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 14069-14080
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_identifier:
eissn:
- 1939-3539
issn:
- 0162-8828
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: A survey of vectorization methods in topological data analysis
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2023'
...
---
_id: '14780'
abstract:
- lang: eng
text: In this paper, we study the eigenvalues and eigenvectors of the spiked invariant
multiplicative models when the randomness is from Haar matrices. We establish
the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩
for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence
rates. Moreover, we prove that the non-outlier eigenvalues stick with those of
the unspiked matrices and the non-outlier eigenvectors are delocalized. The results
also hold near the so-called BBP transition and for degenerate spikes. On one
hand, our results can be regarded as a refinement of the counterparts of [12]
under additional regularity conditions. On the other hand, they can be viewed
as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar
random matrix.
acknowledgement: The authors would like to thank the editor, the associated editor
and two anonymous referees for their many critical suggestions which have significantly
improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee
for many helpful discussions. The first author also wants to thank Hari Bercovici
for many useful comments. The first author is partially supported by National Science
Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant
“RMTBeyond” No. 101020331.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Xiucai
full_name: Ding, Xiucai
last_name: Ding
- first_name: Hong Chang
full_name: Ji, Hong Chang
id: dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d
last_name: Ji
citation:
ama: Ding X, Ji HC. Spiked multiplicative random matrices and principal components.
Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009
apa: Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and
principal components. Stochastic Processes and Their Applications. Elsevier.
https://doi.org/10.1016/j.spa.2023.05.009
chicago: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices
and Principal Components.” Stochastic Processes and Their Applications.
Elsevier, 2023. https://doi.org/10.1016/j.spa.2023.05.009.
ieee: X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal
components,” Stochastic Processes and their Applications, vol. 163. Elsevier,
pp. 25–60, 2023.
ista: Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components.
Stochastic Processes and their Applications. 163, 25–60.
mla: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and
Principal Components.” Stochastic Processes and Their Applications, vol.
163, Elsevier, 2023, pp. 25–60, doi:10.1016/j.spa.2023.05.009.
short: X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023)
25–60.
date_created: 2024-01-10T09:29:25Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2024-01-16T08:49:51Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1016/j.spa.2023.05.009
ec_funded: 1
external_id:
arxiv:
- '2302.13502'
isi:
- '001113615900001'
file:
- access_level: open_access
checksum: 46a708b0cd5569a73d0f3d6c3e0a44dc
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T08:47:31Z
date_updated: 2024-01-16T08:47:31Z
file_id: '14806'
file_name: 2023_StochasticProcAppl_Ding.pdf
file_size: 1870349
relation: main_file
success: 1
file_date_updated: 2024-01-16T08:47:31Z
has_accepted_license: '1'
intvolume: ' 163'
isi: 1
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 25-60
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Stochastic Processes and their Applications
publication_identifier:
eissn:
- 1879-209X
issn:
- 0304-4149
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Spiked multiplicative random matrices and principal components
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 163
year: '2023'
...
---
_id: '12156'
abstract:
- lang: eng
text: Models of transcriptional regulation that assume equilibrium binding of transcription
factors have been less successful at predicting gene expression from sequence
in eukaryotes than in bacteria. This could be due to the non-equilibrium nature
of eukaryotic regulation. Unfortunately, the space of possible non-equilibrium
mechanisms is vast and predominantly uninteresting. The key question is therefore
how this space can be navigated efficiently, to focus on mechanisms and models
that are biologically relevant. In this review, we advocate for the normative
role of theory—theory that prescribes rather than just describes—in providing
such a focus. Theory should expand its remit beyond inferring mechanistic models
from data, towards identifying non-equilibrium gene regulatory schemes that may
have been evolutionarily selected, despite their energy consumption, because they
are precise, reliable, fast, or otherwise outperform regulation at equilibrium.
We illustrate our reasoning by toy examples for which we provide simulation code.
acknowledgement: 'This work was supported through the Center for the Physics of Biological
Function (PHYe1734030) and by National Institutes of Health Grants R01GM097275 and
U01DK127429 (TG). GT acknowledges the support of the Austrian Science Fund grant
FWF P28844 and the Human Frontiers Science Program. '
article_number: '100435'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Benjamin
full_name: Zoller, Benjamin
last_name: Zoller
- first_name: Thomas
full_name: Gregor, Thomas
last_name: Gregor
- first_name: Gašper
full_name: Tkačik, Gašper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkačik
orcid: '1'
citation:
ama: Zoller B, Gregor T, Tkačik G. Eukaryotic gene regulation at equilibrium, or
non? Current Opinion in Systems Biology. 2022;31(9). doi:10.1016/j.coisb.2022.100435
apa: Zoller, B., Gregor, T., & Tkačik, G. (2022). Eukaryotic gene regulation
at equilibrium, or non? Current Opinion in Systems Biology. Elsevier. https://doi.org/10.1016/j.coisb.2022.100435
chicago: Zoller, Benjamin, Thomas Gregor, and Gašper Tkačik. “Eukaryotic Gene Regulation
at Equilibrium, or Non?” Current Opinion in Systems Biology. Elsevier,
2022. https://doi.org/10.1016/j.coisb.2022.100435.
ieee: B. Zoller, T. Gregor, and G. Tkačik, “Eukaryotic gene regulation at equilibrium,
or non?,” Current Opinion in Systems Biology, vol. 31, no. 9. Elsevier,
2022.
ista: Zoller B, Gregor T, Tkačik G. 2022. Eukaryotic gene regulation at equilibrium,
or non? Current Opinion in Systems Biology. 31(9), 100435.
mla: Zoller, Benjamin, et al. “Eukaryotic Gene Regulation at Equilibrium, or Non?”
Current Opinion in Systems Biology, vol. 31, no. 9, 100435, Elsevier, 2022,
doi:10.1016/j.coisb.2022.100435.
short: B. Zoller, T. Gregor, G. Tkačik, Current Opinion in Systems Biology 31 (2022).
date_created: 2023-01-12T12:08:51Z
date_published: 2022-09-01T00:00:00Z
date_updated: 2023-02-13T09:20:34Z
day: '01'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1016/j.coisb.2022.100435
file:
- access_level: open_access
checksum: 97ef01e0cc60cdc84f45640a0f248fb0
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T12:14:10Z
date_updated: 2023-01-24T12:14:10Z
file_id: '12362'
file_name: 2022_CurrentBiology_Zoller.pdf
file_size: 2214944
relation: main_file
success: 1
file_date_updated: 2023-01-24T12:14:10Z
has_accepted_license: '1'
intvolume: ' 31'
issue: '9'
keyword:
- Applied Mathematics
- Computer Science Applications
- Drug Discovery
- General Biochemistry
- Genetics and Molecular Biology
- Modeling and Simulation
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 254E9036-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P28844-B27
name: Biophysics of information processing in gene regulation
publication: Current Opinion in Systems Biology
publication_identifier:
issn:
- 2452-3100
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Eukaryotic gene regulation at equilibrium, or non?
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2022'
...
---
_id: '12178'
abstract:
- lang: eng
text: In this paper we consider the stochastic primitive equation for geophysical
flows subject to transport noise and turbulent pressure. Admitting very rough
noise terms, the global existence and uniqueness of solutions to this stochastic
partial differential equation are proven using stochastic maximal L² regularity,
the theory of critical spaces for stochastic evolution equations, and global a
priori bounds. Compared to other results in this direction, we do not need any
smallness assumption on the transport noise which acts directly on the velocity
field and we also allow rougher noise terms. The adaptation to Stratonovich type
noise and, more generally, to variable viscosity and/or conductivity are discussed
as well.
acknowledgement: The authors thank the anonymous referees for their helpful comments
and suggestions. Open Access funding enabled and organized by Projekt DEAL.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Matthias
full_name: Hieber, Matthias
last_name: Hieber
- first_name: Amru
full_name: Hussein, Amru
last_name: Hussein
- first_name: Martin
full_name: Saal, Martin
last_name: Saal
citation:
ama: 'Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations. 2022. doi:10.1007/s40072-022-00277-3'
apa: 'Agresti, A., Hieber, M., Hussein, A., & Saal, M. (2022). The stochastic
primitive equations with transport noise and turbulent pressure. Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature.
https://doi.org/10.1007/s40072-022-00277-3'
chicago: 'Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The
Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature,
2022. https://doi.org/10.1007/s40072-022-00277-3.'
ieee: 'A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive
equations with transport noise and turbulent pressure,” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2022.'
ista: 'Agresti A, Hieber M, Hussein A, Saal M. 2022. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations.'
mla: 'Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport
Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations:
Analysis and Computations, Springer Nature, 2022, doi:10.1007/s40072-022-00277-3.'
short: 'A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential
Equations: Analysis and Computations (2022).'
date_created: 2023-01-12T12:12:29Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-16T09:11:38Z
day: '27'
department:
- _id: JuFi
doi: 10.1007/s40072-022-00277-3
external_id:
isi:
- '000874389000001'
isi: 1
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s40072-022-00277-3
month: '10'
oa: 1
oa_version: Published Version
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
eissn:
- 2194-041X
issn:
- 2194-0401
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The stochastic primitive equations with transport noise and turbulent pressure
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '12259'
abstract:
- lang: eng
text: 'Theoretical foundations of chaos have been predominantly laid out for finite-dimensional
dynamical systems, such as the three-body problem in classical mechanics and the
Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena,
e.g., weather, arise in systems with many (formally infinite) degrees of freedom,
which limits direct quantitative analysis of such systems using chaos theory.
In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer
a bridge between low- and high-dimensional chaotic phenomena by allowing for a
systematic study of how the former connects to the latter. Specifically, we present
experimental results, which show the formation of low-dimensional chaotic attractors
upon destabilization of regular dynamics and a final transition to high-dimensional
chaos via the merging of distinct chaotic regions through a crisis bifurcation.
Moreover, we show that the post-crisis dynamics of the system can be rationalized
as consecutive scatterings from the nonattracting chaotic sets with lifetimes
following exponential distributions. '
acknowledgement: 'This work was partially funded by the Institute of Science and Technology
Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos
and Quantum Analogies.”'
article_number: '093138'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: George H
full_name: Choueiri, George H
id: 448BD5BC-F248-11E8-B48F-1D18A9856A87
last_name: Choueiri
- first_name: Balachandra
full_name: Suri, Balachandra
id: 47A5E706-F248-11E8-B48F-1D18A9856A87
last_name: Suri
- first_name: Jack
full_name: Merrin, Jack
id: 4515C308-F248-11E8-B48F-1D18A9856A87
last_name: Merrin
orcid: 0000-0001-5145-4609
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic
scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 2022;32(9). doi:10.1063/5.0102904'
apa: 'Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., & Budanur,
N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments.
Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing.
https://doi.org/10.1063/5.0102904'
chicago: 'Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn
Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave
Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science.
AIP Publishing, 2022. https://doi.org/10.1063/5.0102904.'
ieee: 'G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur,
“Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” Chaos:
An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 9. AIP Publishing,
2022.'
ista: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises
and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 32(9), 093138.'
mla: 'Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic
Pilot-Wave Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:10.1063/5.0102904.'
short: 'G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos:
An Interdisciplinary Journal of Nonlinear Science 32 (2022).'
date_created: 2023-01-16T09:58:16Z
date_published: 2022-09-26T00:00:00Z
date_updated: 2023-08-04T09:51:17Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
- _id: BjHo
- _id: NanoFab
doi: 10.1063/5.0102904
external_id:
arxiv:
- '2206.01531'
isi:
- '000861009600005'
file:
- access_level: open_access
checksum: 17881eff8b21969359a2dd64620120ba
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T09:41:12Z
date_updated: 2023-01-30T09:41:12Z
file_id: '12445'
file_name: 2022_Chaos_Choueiri.pdf
file_size: 3209644
relation: main_file
success: 1
file_date_updated: 2023-01-30T09:41:12Z
has_accepted_license: '1'
intvolume: ' 32'
isi: 1
issue: '9'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Crises and chaotic scattering in hydrodynamic pilot-wave experiments
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: 32
year: '2022'
...
---
_id: '12261'
abstract:
- lang: eng
text: 'Dose–response relationships are a general concept for quantitatively describing
biological systems across multiple scales, from the molecular to the whole-cell
level. A clinically relevant example is the bacterial growth response to antibiotics,
which is routinely characterized by dose–response curves. The shape of the dose–response
curve varies drastically between antibiotics and plays a key role in treatment,
drug interactions, and resistance evolution. However, the mechanisms shaping the
dose–response curve remain largely unclear. Here, we show in Escherichia coli
that the distinctively shallow dose–response curve of the antibiotic trimethoprim
is caused by a negative growth-mediated feedback loop: Trimethoprim slows growth,
which in turn weakens the effect of this antibiotic. At the molecular level, this
feedback is caused by the upregulation of the drug target dihydrofolate reductase
(FolA/DHFR). We show that this upregulation is not a specific response to trimethoprim
but follows a universal trend line that depends primarily on the growth rate,
irrespective of its cause. Rewiring the feedback loop alters the dose–response
curve in a predictable manner, which we corroborate using a mathematical model
of cellular resource allocation and growth. Our results indicate that growth-mediated
feedback loops may shape drug responses more generally and could be exploited
to design evolutionary traps that enable selection against drug resistance.'
acknowledged_ssus:
- _id: M-Shop
acknowledgement: This work was in part supported by Human Frontier Science Program
GrantRGP0042/2013, Marie Curie Career Integration Grant303507, AustrianScience Fund
(FWF) Grant P27201-B22, and German Research Foundation(DFG) Collaborative Research
Center (SFB)1310to TB. SAA was supportedby the European Union’s Horizon2020Research
and Innovation Programunder the Marie Skłodowska-Curie Grant agreement No707352.
We wouldlike to thank the Bollenbach group for regular fruitful discussions. We
areparticularly thankful for the technical assistance of Booshini Fernando andfor
discussions of the theoretical aspects with Gerrit Ansmann. We areindebted to Bor
Kavˇciˇc for invaluable advice, help with setting up theluciferase-based growth
monitoring system, and for sharing plasmids. Weacknowledge the IST Austria Miba
Machine Shop for their support inbuilding a housing for the stacker of the plate
reader, which enabled thehigh-throughput luciferase-based experiments. We are grateful
to RosalindAllen, Bor Kavˇciˇc and Dor Russ for feedback on the manuscript. Open
Accessfunding enabled and organized by Projekt DEAL.
article_number: e10490
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
full_name: Angermayr, Andreas
id: 4677C796-F248-11E8-B48F-1D18A9856A87
last_name: Angermayr
orcid: 0000-0001-8619-2223
- first_name: Tin Yau
full_name: Pang, Tin Yau
last_name: Pang
- first_name: Guillaume
full_name: Chevereau, Guillaume
last_name: Chevereau
- first_name: Karin
full_name: Mitosch, Karin
id: 39B66846-F248-11E8-B48F-1D18A9856A87
last_name: Mitosch
- first_name: Martin J
full_name: Lercher, Martin J
last_name: Lercher
- first_name: Mark Tobias
full_name: Bollenbach, Mark Tobias
id: 3E6DB97A-F248-11E8-B48F-1D18A9856A87
last_name: Bollenbach
orcid: 0000-0003-4398-476X
citation:
ama: Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. Growth‐mediated
negative feedback shapes quantitative antibiotic response. Molecular Systems
Biology. 2022;18(9). doi:10.15252/msb.202110490
apa: Angermayr, A., Pang, T. Y., Chevereau, G., Mitosch, K., Lercher, M. J., &
Bollenbach, M. T. (2022). Growth‐mediated negative feedback shapes quantitative
antibiotic response. Molecular Systems Biology. Embo Press. https://doi.org/10.15252/msb.202110490
chicago: Angermayr, Andreas, Tin Yau Pang, Guillaume Chevereau, Karin Mitosch, Martin
J Lercher, and Mark Tobias Bollenbach. “Growth‐mediated Negative Feedback Shapes
Quantitative Antibiotic Response.” Molecular Systems Biology. Embo Press,
2022. https://doi.org/10.15252/msb.202110490.
ieee: A. Angermayr, T. Y. Pang, G. Chevereau, K. Mitosch, M. J. Lercher, and M.
T. Bollenbach, “Growth‐mediated negative feedback shapes quantitative antibiotic
response,” Molecular Systems Biology, vol. 18, no. 9. Embo Press, 2022.
ista: Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. 2022.
Growth‐mediated negative feedback shapes quantitative antibiotic response. Molecular
Systems Biology. 18(9), e10490.
mla: Angermayr, Andreas, et al. “Growth‐mediated Negative Feedback Shapes Quantitative
Antibiotic Response.” Molecular Systems Biology, vol. 18, no. 9, e10490,
Embo Press, 2022, doi:10.15252/msb.202110490.
short: A. Angermayr, T.Y. Pang, G. Chevereau, K. Mitosch, M.J. Lercher, M.T. Bollenbach,
Molecular Systems Biology 18 (2022).
date_created: 2023-01-16T09:58:34Z
date_published: 2022-09-01T00:00:00Z
date_updated: 2023-08-04T09:51:49Z
day: '01'
ddc:
- '570'
department:
- _id: ToBo
doi: 10.15252/msb.202110490
external_id:
isi:
- '000856482800001'
file:
- access_level: open_access
checksum: 8b1d8f5ea20c8408acf466435fb6ae01
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T09:49:55Z
date_updated: 2023-01-30T09:49:55Z
file_id: '12446'
file_name: 2022_MolecularSystemsBio_Angermayr.pdf
file_size: 1098812
relation: main_file
success: 1
file_date_updated: 2023-01-30T09:49:55Z
has_accepted_license: '1'
intvolume: ' 18'
isi: 1
issue: '9'
keyword:
- Applied Mathematics
- Computational Theory and Mathematics
- General Agricultural and Biological Sciences
- General Immunology and Microbiology
- General Biochemistry
- Genetics and Molecular Biology
- Information Systems
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: Molecular Systems Biology
publication_identifier:
eissn:
- 1744-4292
publication_status: published
publisher: Embo Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Growth‐mediated negative feedback shapes quantitative antibiotic response
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: 18
year: '2022'
...
---
_id: '12286'
abstract:
- lang: eng
text: "Inspired by the study of loose cycles in hypergraphs, we define the loose
core in hypergraphs as a structurewhich mirrors the close relationship between
cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random
hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition
at a certain critical threshold and determine this order, as well as the number
of edges, asymptotically in the subcritical and supercritical regimes.
\r\nOur
main tool is an algorithm called CoreConstruct, which enables us to analyse a
peeling process for the loose core. By analysing this algorithm we determine the
asymptotic degree distribution of vertices in the loose core and in particular
how many vertices and edges the loose core contains. As a corollary we obtain
an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$."
acknowledgement: 'Supported by Austrian Science Fund (FWF): I3747, W1230.'
article_number: P4.13
article_processing_charge: No
article_type: original
author:
- first_name: Oliver
full_name: Cooley, Oliver
id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d
last_name: Cooley
- first_name: Mihyun
full_name: Kang, Mihyun
last_name: Kang
- first_name: Julian
full_name: Zalla, Julian
last_name: Zalla
citation:
ama: Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The
Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794
apa: Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random
hypergraphs. The Electronic Journal of Combinatorics. The Electronic Journal
of Combinatorics. https://doi.org/10.37236/10794
chicago: Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles
in Random Hypergraphs.” The Electronic Journal of Combinatorics. The Electronic
Journal of Combinatorics, 2022. https://doi.org/10.37236/10794.
ieee: O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,”
The Electronic Journal of Combinatorics, vol. 29, no. 4. The Electronic
Journal of Combinatorics, 2022.
ista: Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs.
The Electronic Journal of Combinatorics. 29(4), P4.13.
mla: Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The
Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, The Electronic
Journal of Combinatorics, 2022, doi:10.37236/10794.
short: O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29
(2022).
date_created: 2023-01-16T10:03:57Z
date_published: 2022-10-21T00:00:00Z
date_updated: 2023-08-04T10:29:18Z
day: '21'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.37236/10794
external_id:
isi:
- '000876763300001'
file:
- access_level: open_access
checksum: 00122b2459f09b5ae43073bfba565e94
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T11:45:13Z
date_updated: 2023-01-30T11:45:13Z
file_id: '12462'
file_name: 2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf
file_size: 626953
relation: main_file
success: 1
file_date_updated: 2023-01-30T11:45:13Z
has_accepted_license: '1'
intvolume: ' 29'
isi: 1
issue: '4'
keyword:
- Computational Theory and Mathematics
- Geometry and Topology
- Theoretical Computer Science
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '10'
oa: 1
oa_version: Published Version
publication: The Electronic Journal of Combinatorics
publication_identifier:
eissn:
- 1077-8926
publication_status: published
publisher: The Electronic Journal of Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Loose cores and cycles in random hypergraphs
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 29
year: '2022'
...
---
_id: '12304'
abstract:
- lang: eng
text: 'We establish sharp criteria for the instantaneous propagation of free boundaries
in solutions to the thin-film equation. The criteria are formulated in terms of
the initial distribution of mass (as opposed to previous almost-optimal results),
reflecting the fact that mass is a locally conserved quantity for the thin-film
equation. In the regime of weak slippage, our criteria are at the same time necessary
and sufficient. The proof of our upper bounds on free boundary propagation is
based on a strategy of “propagation of degeneracy” down to arbitrarily small spatial
scales: We combine estimates on the local mass and estimates on energies to show
that “degeneracy” on a certain space-time cylinder entails “degeneracy” on a spatially
smaller space-time cylinder with the same time horizon. The derivation of our
lower bounds on free boundary propagation is based on a combination of a monotone
quantity and almost optimal estimates established previously by the second author
with a new estimate connecting motion of mass to entropy production.'
acknowledgement: N. De Nitti acknowledges the kind hospitality of IST Austria within
the framework of the ISTernship Summer Program 2018, during which most of the present
article was written. N. DeNitti has received funding by The Austrian Agency for
International Cooperation in Education &Research (OeAD-GmbH) via its financial support
of the ISTernship Summer Program 2018. N.De Nitti would also like to thank Giuseppe
Coclite, Giuseppe Devillanova, Giuseppe Florio, Sebastian Hensel, and Francesco
Maddalena for several helpful conversations on topics related to this work.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nicola
full_name: De Nitti, Nicola
last_name: De Nitti
- 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: De Nitti N, Fischer JL. Sharp criteria for the waiting time phenomenon in solutions
to the thin-film equation. Communications in Partial Differential Equations.
2022;47(7):1394-1434. doi:10.1080/03605302.2022.2056702
apa: De Nitti, N., & Fischer, J. L. (2022). Sharp criteria for the waiting time
phenomenon in solutions to the thin-film equation. Communications in Partial
Differential Equations. Taylor & Francis. https://doi.org/10.1080/03605302.2022.2056702
chicago: De Nitti, Nicola, and Julian L Fischer. “Sharp Criteria for the Waiting
Time Phenomenon in Solutions to the Thin-Film Equation.” Communications in
Partial Differential Equations. Taylor & Francis, 2022. https://doi.org/10.1080/03605302.2022.2056702.
ieee: N. De Nitti and J. L. Fischer, “Sharp criteria for the waiting time phenomenon
in solutions to the thin-film equation,” Communications in Partial Differential
Equations, vol. 47, no. 7. Taylor & Francis, pp. 1394–1434, 2022.
ista: De Nitti N, Fischer JL. 2022. Sharp criteria for the waiting time phenomenon
in solutions to the thin-film equation. Communications in Partial Differential
Equations. 47(7), 1394–1434.
mla: De Nitti, Nicola, and Julian L. Fischer. “Sharp Criteria for the Waiting Time
Phenomenon in Solutions to the Thin-Film Equation.” Communications in Partial
Differential Equations, vol. 47, no. 7, Taylor & Francis, 2022, pp. 1394–434,
doi:10.1080/03605302.2022.2056702.
short: N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations
47 (2022) 1394–1434.
date_created: 2023-01-16T10:06:50Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2023-08-04T10:34:31Z
day: '01'
department:
- _id: JuFi
doi: 10.1080/03605302.2022.2056702
external_id:
arxiv:
- '1907.05342'
isi:
- '000805689800001'
intvolume: ' 47'
isi: 1
issue: '7'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.1907.05342'
month: '07'
oa: 1
oa_version: Preprint
page: 1394-1434
publication: Communications in Partial Differential Equations
publication_identifier:
eissn:
- 1532-4133
issn:
- 0360-5302
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sharp criteria for the waiting time phenomenon in solutions to the thin-film
equation
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 47
year: '2022'
...
---
_id: '12305'
abstract:
- lang: eng
text: This paper is concerned with the sharp interface limit for the Allen--Cahn
equation with a nonlinear Robin boundary condition in a bounded smooth domain
Ω⊂\R2. We assume that a diffuse interface already has developed and that it is
in contact with the boundary ∂Ω. The boundary condition is designed in such a
way that the limit problem is given by the mean curvature flow with constant α-contact
angle. For α close to 90° we prove a local in time convergence result for well-prepared
initial data for times when a smooth solution to the limit problem exists. Based
on the latter we construct a suitable curvilinear coordinate system and carry
out a rigorous asymptotic expansion for the Allen--Cahn equation with the nonlinear
Robin boundary condition. Moreover, we show a spectral estimate for the corresponding
linearized Allen--Cahn operator and with its aid we derive strong norm estimates
for the difference of the exact and approximate solutions using a Gronwall-type
argument.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Helmut
full_name: Abels, Helmut
last_name: Abels
- first_name: Maximilian
full_name: Moser, Maximilian
id: a60047a9-da77-11eb-85b4-c4dc385ebb8c
last_name: Moser
citation:
ama: Abels H, Moser M. Convergence of the Allen--Cahn equation with a nonlinear
Robin boundary condition to mean curvature flow with contact angle close to 90°.
SIAM Journal on Mathematical Analysis. 2022;54(1):114-172. doi:10.1137/21m1424925
apa: Abels, H., & Moser, M. (2022). Convergence of the Allen--Cahn equation
with a nonlinear Robin boundary condition to mean curvature flow with contact
angle close to 90°. SIAM Journal on Mathematical Analysis. Society for
Industrial and Applied Mathematics. https://doi.org/10.1137/21m1424925
chicago: Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation
with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact
Angle Close to 90°.” SIAM Journal on Mathematical Analysis. Society for
Industrial and Applied Mathematics, 2022. https://doi.org/10.1137/21m1424925.
ieee: H. Abels and M. Moser, “Convergence of the Allen--Cahn equation with a nonlinear
Robin boundary condition to mean curvature flow with contact angle close to 90°,”
SIAM Journal on Mathematical Analysis, vol. 54, no. 1. Society for Industrial
and Applied Mathematics, pp. 114–172, 2022.
ista: Abels H, Moser M. 2022. Convergence of the Allen--Cahn equation with a nonlinear
Robin boundary condition to mean curvature flow with contact angle close to 90°.
SIAM Journal on Mathematical Analysis. 54(1), 114–172.
mla: Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation
with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact
Angle Close to 90°.” SIAM Journal on Mathematical Analysis, vol. 54, no.
1, Society for Industrial and Applied Mathematics, 2022, pp. 114–72, doi:10.1137/21m1424925.
short: H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.
date_created: 2023-01-16T10:07:00Z
date_published: 2022-01-04T00:00:00Z
date_updated: 2023-08-04T10:34:56Z
day: '04'
department:
- _id: JuFi
doi: 10.1137/21m1424925
external_id:
arxiv:
- '2105.08434'
isi:
- '000762768000004'
intvolume: ' 54'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2105.08434'
month: '01'
oa: 1
oa_version: Preprint
page: 114-172
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
eissn:
- 1095-7154
issn:
- 0036-1410
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition
to mean curvature flow with contact angle close to 90°
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 54
year: '2022'
...
---
_id: '10842'
abstract:
- lang: eng
text: We determine the unique factorization of some polynomials over a finite local
commutative ring with identity explicitly. This solves and generalizes the main
conjecture of Qian, Shi and Solé in [13]. We also give some applications to enumeration
of certain generalized double circulant self-dual and linear complementary dual
(LCD) codes over some finite rings together with an application in asymptotic
coding theory.
acknowledgement: The authors would like to thank Prof. Dr. Minjia Shi for bringing
[13, Conjecture 3.5] to our attention. We would also like to thank the associate
editor and anonymous reviewers for their valuable comments and suggestions which
improved and clarified the manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Seyda
full_name: Köse, Seyda
id: 8ba3170d-dc85-11ea-9058-c4251c96a6eb
last_name: Köse
- first_name: Ferruh
full_name: Özbudak, Ferruh
last_name: Özbudak
citation:
ama: Köse S, Özbudak F. Factorization of some polynomials over finite local commutative
rings and applications to certain self-dual and LCD codes. Cryptography and
Communications. 2022;14(4):933-948. doi:10.1007/s12095-022-00557-8
apa: Köse, S., & Özbudak, F. (2022). Factorization of some polynomials over
finite local commutative rings and applications to certain self-dual and LCD codes.
Cryptography and Communications. Springer Nature. https://doi.org/10.1007/s12095-022-00557-8
chicago: Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over
Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.”
Cryptography and Communications. Springer Nature, 2022. https://doi.org/10.1007/s12095-022-00557-8.
ieee: S. Köse and F. Özbudak, “Factorization of some polynomials over finite local
commutative rings and applications to certain self-dual and LCD codes,” Cryptography
and Communications, vol. 14, no. 4. Springer Nature, pp. 933–948, 2022.
ista: Köse S, Özbudak F. 2022. Factorization of some polynomials over finite local
commutative rings and applications to certain self-dual and LCD codes. Cryptography
and Communications. 14(4), 933–948.
mla: Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite
Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.”
Cryptography and Communications, vol. 14, no. 4, Springer Nature, 2022,
pp. 933–48, doi:10.1007/s12095-022-00557-8.
short: S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.
date_created: 2022-03-10T12:16:19Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2023-09-05T15:35:55Z
day: '01'
department:
- _id: GradSch
doi: 10.1007/s12095-022-00557-8
external_id:
isi:
- '000766422000002'
intvolume: ' 14'
isi: 1
issue: '4'
keyword:
- Applied Mathematics
- Computational Theory and Mathematics
- Computer Networks and Communications
language:
- iso: eng
month: '07'
oa_version: None
page: 933-948
publication: Cryptography and Communications
publication_identifier:
eissn:
- 1936-2455
issn:
- 1936-2447
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Factorization of some polynomials over finite local commutative rings and applications
to certain self-dual and LCD codes
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 14
year: '2022'
...
---
_id: '11343'
abstract:
- lang: eng
text: Multistable systems are characterized by exhibiting domain coexistence, where
each domain accounts for the different equilibrium states. In case these systems
are described by vectorial fields, domains can be connected through topological
defects. Vortices are one of the most frequent and studied topological defect
points. Optical vortices are equally relevant for their fundamental features as
beams with topological features and their applications in image processing, telecommunications,
optical tweezers, and quantum information. A natural source of optical vortices
is the interaction of light beams with matter vortices in liquid crystal cells.
The rhythms that govern the emergence of matter vortices due to fluctuations are
not established. Here, we investigate the nucleation mechanisms of the matter
vortices in liquid crystal cells and establish statistical laws that govern them.
Based on a stochastic amplitude equation, the law for the number of nucleated
vortices as a function of anisotropy, voltage, and noise level intensity is set.
Experimental observations in a nematic liquid crystal cell with homeotropic anchoring
and a negative anisotropic dielectric constant under the influence of a transversal
electric field show a qualitative agreement with the theoretical findings.
acknowledgement: "The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre
for fructified discussions. This work was funded by ANID—Millennium Science Initiative
Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353
project.\r\nOpen access funding provided by Institute of Science and Technology
(IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Esteban
full_name: Aguilera, Esteban
last_name: Aguilera
- first_name: Marcel G.
full_name: Clerc, Marcel G.
last_name: Clerc
- first_name: Valeska
full_name: Zambra, Valeska
id: 467ed36b-dc96-11ea-b7c8-b043a380b282
last_name: Zambra
citation:
ama: Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations
in nematic liquid crystal cells. Nonlinear Dynamics. 2022;108:3209-3218.
doi:10.1007/s11071-022-07396-5
apa: Aguilera, E., Clerc, M. G., & Zambra, V. (2022). Vortices nucleation by
inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics.
Springer Nature. https://doi.org/10.1007/s11071-022-07396-5
chicago: Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation
by Inherent Fluctuations in Nematic Liquid Crystal Cells.” Nonlinear Dynamics.
Springer Nature, 2022. https://doi.org/10.1007/s11071-022-07396-5.
ieee: E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent
fluctuations in nematic liquid crystal cells,” Nonlinear Dynamics, vol.
108. Springer Nature, pp. 3209–3218, 2022.
ista: Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations
in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218.
mla: Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in
Nematic Liquid Crystal Cells.” Nonlinear Dynamics, vol. 108, Springer Nature,
2022, pp. 3209–18, doi:10.1007/s11071-022-07396-5.
short: E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218.
date_created: 2022-05-02T07:01:59Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-08-03T06:46:54Z
day: '01'
ddc:
- '530'
department:
- _id: KiMo
doi: 10.1007/s11071-022-07396-5
external_id:
isi:
- '000784871800001'
file:
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checksum: 7d80cdece4e1b1c2106e6772a9622f60
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creator: dernst
date_created: 2022-08-05T06:13:19Z
date_updated: 2022-08-05T06:13:19Z
file_id: '11728'
file_name: 2022_NonlinearDyn_Aguilera.pdf
file_size: 1416049
relation: main_file
success: 1
file_date_updated: 2022-08-05T06:13:19Z
has_accepted_license: '1'
intvolume: ' 108'
isi: 1
keyword:
- Electrical and Electronic Engineering
- Applied Mathematics
- Mechanical Engineering
- Ocean Engineering
- Aerospace Engineering
- Control and Systems Engineering
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 3209-3218
publication: Nonlinear Dynamics
publication_identifier:
eissn:
- 1573-269X
issn:
- 0924-090X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Vortices nucleation by inherent fluctuations in nematic liquid crystal cells
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: 108
year: '2022'
...
---
_id: '11556'
abstract:
- lang: eng
text: "We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation
kinetics and extend them for aggregation processes with collisional fragmentation
(shattering). We test the performance and accuracy of the extended methods and
compare their performance with efficient deterministic finite-difference method
applied to the same model. We validate the stochastic methods on the test problems
and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation
kinetics recently detected in deterministic simulations. We confirm the emergence
of steady oscillations of densities in such systems and prove the stability of
the\r\noscillations with respect to fluctuations and noise."
acknowledgement: Zhores supercomputer of Skolkovo Institute of Science and Technology
[68] has been used in the present research. S.A.M. was supported by Moscow Center
for Fundamental and Applied Mathematics (the agreement with the Ministry of Education
and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges
RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical
Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).
article_number: '111439'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Aleksei
full_name: Kalinov, Aleksei
id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02
last_name: Kalinov
orcid: 0000-0003-2189-3904
- first_name: A.I.
full_name: Osinskiy, A.I.
last_name: Osinskiy
- first_name: S.A.
full_name: Matveev, S.A.
last_name: Matveev
- first_name: W.
full_name: Otieno, W.
last_name: Otieno
- first_name: N.V.
full_name: Brilliantov, N.V.
last_name: Brilliantov
citation:
ama: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation
Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal
of Computational Physics. 2022;467. doi:10.1016/j.jcp.2022.111439
apa: Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., & Brilliantov,
N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
kinetics. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2022.111439
chicago: Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov.
“Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.”
Journal of Computational Physics. Elsevier, 2022. https://doi.org/10.1016/j.jcp.2022.111439.
ieee: A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov,
“Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,”
Journal of Computational Physics, vol. 467. Elsevier, 2022.
ista: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct
simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics.
Journal of Computational Physics. 467, 111439.
mla: Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in
Aggregation-Fragmentation Kinetics.” Journal of Computational Physics,
vol. 467, 111439, Elsevier, 2022, doi:10.1016/j.jcp.2022.111439.
short: A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal
of Computational Physics 467 (2022).
date_created: 2022-07-11T12:19:59Z
date_published: 2022-10-15T00:00:00Z
date_updated: 2023-08-03T11:55:06Z
day: '15'
ddc:
- '518'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1016/j.jcp.2022.111439
external_id:
arxiv:
- '2103.09481'
isi:
- '000917225500013'
intvolume: ' 467'
isi: 1
keyword:
- Computer Science Applications
- Physics and Astronomy (miscellaneous)
- Applied Mathematics
- Computational Mathematics
- Modeling and Simulation
- Numerical Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2103.09481
month: '10'
oa: 1
oa_version: Preprint
publication: Journal of Computational Physics
publication_identifier:
issn:
- 0021-9991
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
kinetics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 467
year: '2022'
...
---
_id: '12137'
abstract:
- lang: eng
text: We investigate the local self-sustained process underlying spiral turbulence
in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped
as a parallelogram, two of whose sides are aligned with the cylindrical helix
described by the spiral pattern. The primary focus of the study is placed on the
emergence of drifting–rotating waves (DRW) that capture, in a relatively small
domain, the main features of coherent structures typically observed in developed
turbulence. The transitional dynamics of the subcritical region, far below the
first instability of the laminar circular Couette flow, is determined by the upper
and lower branches of DRW solutions originated at saddle-node bifurcations. The
mechanism whereby these solutions self-sustain, and the chaotic dynamics they
induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably,
the flow properties of DRW persist even as the Reynolds number is increased beyond
the linear stability threshold of the base flow. Simulations in a narrow parallelogram
domain stretched in the azimuthal direction to revolve around the apparatus a
full turn confirm that self-sustained vortices eventually concentrate into a localised
pattern. The resulting statistical steady state satisfactorily reproduces qualitatively,
and to a certain degree also quantitatively, the topology and properties of spiral
turbulence as calculated in a large periodic domain of sufficient aspect ratio
that is representative of the real system.
acknowledgement: "K.D.’s research was supported by an Australian Research Council
Discovery Early Career\r\nResearcher Award (DE170100171). B.W., R.A., F.M. and A.M.
research was supported by the Spanish Ministerio de Economía y Competitivdad (grant
numbers FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación
(grant number PID2020-114043GB-I00) and the Generalitat de Catalunya (grant 2017-SGR-785).
B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
no. 201806440152)."
article_number: A21
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: B.
full_name: Wang, B.
last_name: Wang
- first_name: Roger
full_name: Ayats López, Roger
id: ab77522d-073b-11ed-8aff-e71b39258362
last_name: Ayats López
orcid: 0000-0001-6572-0621
- first_name: K.
full_name: Deguchi, K.
last_name: Deguchi
- first_name: F.
full_name: Mellibovsky, F.
last_name: Mellibovsky
- first_name: A.
full_name: Meseguer, A.
last_name: Meseguer
citation:
ama: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow. Journal of
Fluid Mechanics. 2022;951. doi:10.1017/jfm.2022.828
apa: Wang, B., Ayats López, R., Deguchi, K., Mellibovsky, F., & Meseguer, A.
(2022). Self-sustainment of coherent structures in counter-rotating Taylor–Couette
flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2022.828
chicago: Wang, B., Roger Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer.
“Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.”
Journal of Fluid Mechanics. Cambridge University Press, 2022. https://doi.org/10.1017/jfm.2022.828.
ieee: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer, “Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow,” Journal of
Fluid Mechanics, vol. 951. Cambridge University Press, 2022.
ista: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. 2022. Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow. Journal of Fluid
Mechanics. 951, A21.
mla: Wang, B., et al. “Self-Sustainment of Coherent Structures in Counter-Rotating
Taylor–Couette Flow.” Journal of Fluid Mechanics, vol. 951, A21, Cambridge
University Press, 2022, doi:10.1017/jfm.2022.828.
short: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, A. Meseguer, Journal
of Fluid Mechanics 951 (2022).
date_created: 2023-01-12T12:04:17Z
date_published: 2022-11-07T00:00:00Z
date_updated: 2023-08-04T08:54:16Z
day: '07'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.828
external_id:
arxiv:
- '2207.12990'
isi:
- '000879446900001'
intvolume: ' 951'
isi: 1
keyword:
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Applied Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2207.12990'
month: '11'
oa: 1
oa_version: Preprint
publication: Journal of Fluid Mechanics
publication_identifier:
eissn:
- 1469-7645
issn:
- 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Self-sustainment of coherent structures in counter-rotating Taylor–Couette
flow
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 951
year: '2022'
...
---
_id: '12145'
abstract:
- lang: eng
text: In the class of strictly convex smooth boundaries each of which has no strip
around its boundary foliated by invariant curves, we prove that the Taylor coefficients
of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In
contrast, we prove that any two elliptic billiard maps are C0-conjugate near their
respective boundaries, and C∞-conjugate, near the boundary and away from a line
passing through the center of the underlying ellipse. We also prove that, if the
billiard maps corresponding to two ellipses are topologically conjugate, then
the two ellipses are similar.
acknowledgement: "We are grateful to the anonymous referees for their careful reading
and valuable remarks and\r\ncomments which helped to improve the paper significantly.
We gratefully acknowledge support from the European Research Council (ERC) through
the Advanced Grant “SPERIG” (#885707)."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Edmond
full_name: Koudjinan, Edmond
id: 52DF3E68-AEFA-11EA-95A4-124A3DDC885E
last_name: Koudjinan
orcid: 0000-0003-2640-4049
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
citation:
ama: Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy.
Regular and Chaotic Dynamics. 2022;27(6):525-537. doi:10.1134/S1560354722050021
apa: Koudjinan, E., & Kaloshin, V. (2022). On some invariants of Birkhoff billiards
under conjugacy. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/10.1134/S1560354722050021
chicago: Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff
Billiards under Conjugacy.” Regular and Chaotic Dynamics. Springer Nature,
2022. https://doi.org/10.1134/S1560354722050021.
ieee: E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under
conjugacy,” Regular and Chaotic Dynamics, vol. 27, no. 6. Springer Nature,
pp. 525–537, 2022.
ista: Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under
conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.
mla: Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards
under Conjugacy.” Regular and Chaotic Dynamics, vol. 27, no. 6, Springer
Nature, 2022, pp. 525–37, doi:10.1134/S1560354722050021.
short: E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
date_created: 2023-01-12T12:06:49Z
date_published: 2022-10-03T00:00:00Z
date_updated: 2023-08-04T08:59:14Z
day: '03'
department:
- _id: VaKa
doi: 10.1134/S1560354722050021
ec_funded: 1
external_id:
arxiv:
- '2105.14640'
isi:
- '000865267300002'
intvolume: ' 27'
isi: 1
issue: '6'
keyword:
- Mechanical Engineering
- Applied Mathematics
- Mathematical Physics
- Modeling and Simulation
- Statistical and Nonlinear Physics
- Mathematics (miscellaneous)
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2105.14640
month: '10'
oa: 1
oa_version: Preprint
page: 525-537
project:
- _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A
call_identifier: H2020
grant_number: '885707'
name: Spectral rigidity and integrability for billiards and geodesic flows
publication: Regular and Chaotic Dynamics
publication_identifier:
eissn:
- 1468-4845
issn:
- 1560-3547
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1134/s1560354722060107
scopus_import: '1'
status: public
title: On some invariants of Birkhoff billiards under conjugacy
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 27
year: '2022'
...
---
_id: '8773'
abstract:
- lang: eng
text: Let g be a complex semisimple Lie algebra. We give a classification of contravariant
forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We
prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose
dimension is given by the cardinality of the Weyl group of g. We also describe
a procedure for parabolically inducing contravariant forms. As a corollary, we
deduce the existence of the Shapovalov form on a Verma module, and provide a formula
for the dimension of the space of contravariant forms on the degenerate Whittaker
modules M(χ,η) introduced by McDowell.
acknowledgement: "We would like to thank Peter Trapa for useful discussions, and Dragan
Milicic and Arun Ram for valuable feedback on the structure of the paper. The first
author acknowledges the support of the European Unions Horizon 2020 research and
innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411.
The second author is\r\nsupported by the National Science Foundation Award No. 1803059."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 2021;149(1):37-52. doi:10.1090/proc/15205
apa: Brown, A., & Romanov, A. (2021). Contravariant forms on Whittaker modules.
Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/15205
chicago: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society. American Mathematical
Society, 2021. https://doi.org/10.1090/proc/15205.
ieee: A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” Proceedings
of the American Mathematical Society, vol. 149, no. 1. American Mathematical
Society, pp. 37–52, 2021.
ista: Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 149(1), 37–52.
mla: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society, vol. 149, no. 1, American
Mathematical Society, 2021, pp. 37–52, doi:10.1090/proc/15205.
short: A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149
(2021) 37–52.
date_created: 2020-11-19T10:17:40Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:11:47Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/proc/15205
ec_funded: 1
external_id:
arxiv:
- '1910.08286'
isi:
- '000600416300004'
intvolume: ' 149'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08286
month: '01'
oa: 1
oa_version: Preprint
page: 37-52
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Proceedings of the American Mathematical Society
publication_identifier:
eissn:
- 1088-6826
issn:
- 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: Contravariant forms on Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 149
year: '2021'
...
---
_id: '9387'
abstract:
- lang: eng
text: We report the complete analysis of a deterministic model of deleterious mutations
and negative selection against them at two haploid loci without recombination.
As long as mutation is a weaker force than selection, mutant alleles remain rare
at the only stable equilibrium, and otherwise, a variety of dynamics are possible.
If the mutation-free genotype is absent, generally the only stable equilibrium
is the one that corresponds to fixation of the mutant allele at the locus where
it is less deleterious. This result suggests that fixation of a deleterious allele
that follows a click of the Muller’s ratchet is governed by natural selection,
instead of random drift.
acknowledgement: This work was supported by the Russian Science Foundation grant N
16-14-10173.
article_number: '110729'
article_processing_charge: No
article_type: original
author:
- first_name: Kseniia
full_name: Khudiakova, Kseniia
id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
last_name: Khudiakova
orcid: 0000-0002-6246-1465
- first_name: Tatiana Yu.
full_name: Neretina, Tatiana Yu.
last_name: Neretina
- first_name: Alexey S.
full_name: Kondrashov, Alexey S.
last_name: Kondrashov
citation:
ama: Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 2021;524.
doi:10.1016/j.jtbi.2021.110729
apa: Khudiakova, K., Neretina, T. Y., & Kondrashov, A. S. (2021). Two linked
loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical
Biology. Elsevier . https://doi.org/10.1016/j.jtbi.2021.110729
chicago: Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two
Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” Journal
of Theoretical Biology. Elsevier , 2021. https://doi.org/10.1016/j.jtbi.2021.110729.
ieee: K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under
mutation-selection balance and Muller’s ratchet,” Journal of Theoretical Biology,
vol. 524. Elsevier , 2021.
ista: Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729.
mla: Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance
and Muller’s Ratchet.” Journal of Theoretical Biology, vol. 524, 110729,
Elsevier , 2021, doi:10.1016/j.jtbi.2021.110729.
short: K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology
524 (2021).
date_created: 2021-05-12T05:58:42Z
date_published: 2021-04-24T00:00:00Z
date_updated: 2023-08-08T13:32:40Z
day: '24'
department:
- _id: GradSch
doi: 10.1016/j.jtbi.2021.110729
external_id:
isi:
- '000659161500002'
intvolume: ' 524'
isi: 1
keyword:
- General Biochemistry
- Genetics and Molecular Biology
- Modelling and Simulation
- Statistics and Probability
- General Immunology and Microbiology
- Applied Mathematics
- General Agricultural and Biological Sciences
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.biorxiv.org/content/10.1101/477489v1
month: '04'
oa: 1
oa_version: Preprint
publication: Journal of Theoretical Biology
publication_identifier:
issn:
- 0022-5193
publication_status: published
publisher: 'Elsevier '
quality_controlled: '1'
status: public
title: Two linked loci under mutation-selection balance and Muller’s ratchet
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 524
year: '2021'
...
---
_id: '10211'
abstract:
- lang: eng
text: "We study the problem of recovering an unknown signal \U0001D465\U0001D465
given measurements obtained from a generalized linear model with a Gaussian sensing
matrix. Two popular solutions are based on a linear estimator \U0001D465\U0001D465^L
and a spectral estimator \U0001D465\U0001D465^s. The former is a data-dependent
linear combination of the columns of the measurement matrix, and its analysis
is quite simple. The latter is the principal eigenvector of a data-dependent matrix,
and a recent line of work has studied its performance. In this paper, we show
how to optimally combine \U0001D465\U0001D465^L and \U0001D465\U0001D465^s. At
the heart of our analysis is the exact characterization of the empirical joint
distribution of (\U0001D465\U0001D465,\U0001D465\U0001D465^L,\U0001D465\U0001D465^s)
in the high-dimensional limit. This allows us to compute the Bayes-optimal combination
of \U0001D465\U0001D465^L and \U0001D465\U0001D465^s, given the limiting distribution
of the signal \U0001D465\U0001D465. When the distribution of the signal is Gaussian,
then the Bayes-optimal combination has the form \U0001D703\U0001D465\U0001D465^L+\U0001D465\U0001D465^s
and we derive the optimal combination coefficient. In order to establish the limiting
distribution of (\U0001D465\U0001D465,\U0001D465\U0001D465^L,\U0001D465\U0001D465^s),
we design and analyze an approximate message passing algorithm whose iterates
give \U0001D465\U0001D465^L and approach \U0001D465\U0001D465^s. Numerical simulations
demonstrate the improvement of the proposed combination with respect to the two
methods considered separately."
acknowledgement: M. Mondelli would like to thank Andrea Montanari for helpful discussions.
All the authors would like to thank the anonymous reviewers for their helpful comments.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Christos
full_name: Thrampoulidis, Christos
last_name: Thrampoulidis
- first_name: Ramji
full_name: Venkataramanan, Ramji
last_name: Venkataramanan
citation:
ama: Mondelli M, Thrampoulidis C, Venkataramanan R. Optimal combination of linear
and spectral estimators for generalized linear models. Foundations of Computational
Mathematics. 2021. doi:10.1007/s10208-021-09531-x
apa: Mondelli, M., Thrampoulidis, C., & Venkataramanan, R. (2021). Optimal combination
of linear and spectral estimators for generalized linear models. Foundations
of Computational Mathematics. Springer. https://doi.org/10.1007/s10208-021-09531-x
chicago: Mondelli, Marco, Christos Thrampoulidis, and Ramji Venkataramanan. “Optimal
Combination of Linear and Spectral Estimators for Generalized Linear Models.”
Foundations of Computational Mathematics. Springer, 2021. https://doi.org/10.1007/s10208-021-09531-x.
ieee: M. Mondelli, C. Thrampoulidis, and R. Venkataramanan, “Optimal combination
of linear and spectral estimators for generalized linear models,” Foundations
of Computational Mathematics. Springer, 2021.
ista: Mondelli M, Thrampoulidis C, Venkataramanan R. 2021. Optimal combination of
linear and spectral estimators for generalized linear models. Foundations of Computational
Mathematics.
mla: Mondelli, Marco, et al. “Optimal Combination of Linear and Spectral Estimators
for Generalized Linear Models.” Foundations of Computational Mathematics,
Springer, 2021, doi:10.1007/s10208-021-09531-x.
short: M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational
Mathematics (2021).
date_created: 2021-11-03T10:59:08Z
date_published: 2021-08-17T00:00:00Z
date_updated: 2023-09-05T14:13:57Z
day: '17'
ddc:
- '510'
department:
- _id: MaMo
doi: 10.1007/s10208-021-09531-x
external_id:
arxiv:
- '2008.03326'
isi:
- '000685721000001'
file:
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checksum: 9ea12dd8045a0678000a3a59295221cb
content_type: application/pdf
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date_created: 2021-12-13T15:47:54Z
date_updated: 2021-12-13T15:47:54Z
file_id: '10542'
file_name: 2021_Springer_Mondelli.pdf
file_size: 2305731
relation: main_file
success: 1
file_date_updated: 2021-12-13T15:47:54Z
has_accepted_license: '1'
isi: 1
keyword:
- Applied Mathematics
- Computational Theory and Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Foundations of Computational Mathematics
publication_identifier:
eissn:
- 1615-3383
issn:
- 1615-3375
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal combination of linear and spectral estimators for generalized linear
models
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)
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type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '10856'
abstract:
- lang: eng
text: "We study the properties of the maximal volume k-dimensional sections of the
n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a
k-dimensional subspace to be a local maximizer of the volume of such sections,
which we formulate in a geometric way. We estimate the length of the projection
of a vector of the standard basis of Rn onto a k-dimensional subspace that maximizes
the volume of the intersection. We \x1Cnd the optimal upper bound on the volume
of a planar section of the cube [−1, 1]n , n ≥ 2."
acknowledgement: "The authors acknowledge the support of the grant of the Russian
Government N 075-15-\r\n2019-1926. G.I.was supported also by the SwissNational Science
Foundation grant 200021-179133. The authors are very grateful to the anonymous reviewer
for valuable remarks."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
- first_name: Igor
full_name: Tsiutsiurupa, Igor
last_name: Tsiutsiurupa
citation:
ama: Ivanov G, Tsiutsiurupa I. On the volume of sections of the cube. Analysis
and Geometry in Metric Spaces. 2021;9(1):1-18. doi:10.1515/agms-2020-0103
apa: Ivanov, G., & Tsiutsiurupa, I. (2021). On the volume of sections of the
cube. Analysis and Geometry in Metric Spaces. De Gruyter. https://doi.org/10.1515/agms-2020-0103
chicago: Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the
Cube.” Analysis and Geometry in Metric Spaces. De Gruyter, 2021. https://doi.org/10.1515/agms-2020-0103.
ieee: G. Ivanov and I. Tsiutsiurupa, “On the volume of sections of the cube,” Analysis
and Geometry in Metric Spaces, vol. 9, no. 1. De Gruyter, pp. 1–18, 2021.
ista: Ivanov G, Tsiutsiurupa I. 2021. On the volume of sections of the cube. Analysis
and Geometry in Metric Spaces. 9(1), 1–18.
mla: Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.”
Analysis and Geometry in Metric Spaces, vol. 9, no. 1, De Gruyter, 2021,
pp. 1–18, doi:10.1515/agms-2020-0103.
short: G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021)
1–18.
date_created: 2022-03-18T09:25:14Z
date_published: 2021-01-29T00:00:00Z
date_updated: 2023-08-17T07:07:58Z
day: '29'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.1515/agms-2020-0103
external_id:
arxiv:
- '2004.02674'
isi:
- '000734286800001'
file:
- access_level: open_access
checksum: 7e615ac8489f5eae580b6517debfdc53
content_type: application/pdf
creator: dernst
date_created: 2022-03-18T09:31:59Z
date_updated: 2022-03-18T09:31:59Z
file_id: '10857'
file_name: 2021_AnalysisMetricSpaces_Ivanov.pdf
file_size: 789801
relation: main_file
success: 1
file_date_updated: 2022-03-18T09:31:59Z
has_accepted_license: '1'
intvolume: ' 9'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Geometry and Topology
- Analysis
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1-18
publication: Analysis and Geometry in Metric Spaces
publication_identifier:
issn:
- 2299-3274
publication_status: published
publisher: De Gruyter
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the volume of sections of the cube
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: '2021'
...
---
_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
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
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:
record:
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relation: dissertation_contains
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scopus_import: '1'
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title: Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
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(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 52
year: '2020'
...
---
_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'
...