---
_id: '14770'
abstract:
- lang: eng
text: We developed LIONESS, a technology that leverages improvements to optical
super-resolution microscopy and prior information on sample structure via machine
learning to overcome the limitations (in 3D-resolution, signal-to-noise ratio
and light exposure) of optical microscopy of living biological specimens. LIONESS
enables dense reconstruction of living brain tissue and morphodynamics visualization
at the nanoscale.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Johann G
full_name: Danzl, Johann G
id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
last_name: Danzl
orcid: 0000-0001-8559-3973
- first_name: Philipp
full_name: Velicky, Philipp
id: 39BDC62C-F248-11E8-B48F-1D18A9856A87
last_name: Velicky
orcid: 0000-0002-2340-7431
citation:
ama: Danzl JG, Velicky P. LIONESS enables 4D nanoscale reconstruction of living
brain tissue. Nature Methods. 2023;20(8):1141-1142. doi:10.1038/s41592-023-01937-5
apa: Danzl, J. G., & Velicky, P. (2023). LIONESS enables 4D nanoscale reconstruction
of living brain tissue. Nature Methods. Springer Nature. https://doi.org/10.1038/s41592-023-01937-5
chicago: Danzl, Johann G, and Philipp Velicky. “LIONESS Enables 4D Nanoscale Reconstruction
of Living Brain Tissue.” Nature Methods. Springer Nature, 2023. https://doi.org/10.1038/s41592-023-01937-5.
ieee: J. G. Danzl and P. Velicky, “LIONESS enables 4D nanoscale reconstruction of
living brain tissue,” Nature Methods, vol. 20, no. 8. Springer Nature,
pp. 1141–1142, 2023.
ista: Danzl JG, Velicky P. 2023. LIONESS enables 4D nanoscale reconstruction of
living brain tissue. Nature Methods. 20(8), 1141–1142.
mla: Danzl, Johann G., and Philipp Velicky. “LIONESS Enables 4D Nanoscale Reconstruction
of Living Brain Tissue.” Nature Methods, vol. 20, no. 8, Springer Nature,
2023, pp. 1141–42, doi:10.1038/s41592-023-01937-5.
short: J.G. Danzl, P. Velicky, Nature Methods 20 (2023) 1141–1142.
date_created: 2024-01-10T08:07:15Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2024-01-10T08:37:48Z
day: '01'
department:
- _id: JoDa
doi: 10.1038/s41592-023-01937-5
external_id:
isi:
- '001025621500002'
intvolume: ' 20'
isi: 1
issue: '8'
keyword:
- Cell Biology
- Molecular Biology
- Biochemistry
- Biotechnology
language:
- iso: eng
month: '08'
oa_version: None
page: 1141-1142
publication: Nature Methods
publication_identifier:
eissn:
- 1548-7105
issn:
- 1548-7091
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '13267'
relation: extended_version
status: public
scopus_import: '1'
status: public
title: LIONESS enables 4D nanoscale reconstruction of living brain tissue
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2023'
...
---
_id: '14771'
abstract:
- lang: eng
text: Pruning—that is, setting a significant subset of the parameters of a neural
network to zero—is one of the most popular methods of model compression. Yet,
several recent works have raised the issue that pruning may induce or exacerbate
bias in the output of the compressed model. Despite existing evidence for this
phenomenon, the relationship between neural network pruning and induced bias is
not well-understood. In this work, we systematically investigate and characterize
this phenomenon in Convolutional Neural Networks for computer vision. First, we
show that it is in fact possible to obtain highly-sparse models, e.g. with less
than 10% remaining weights, which do not decrease in accuracy nor substantially
increase in bias when compared to dense models. At the same time, we also find
that, at higher sparsities, pruned models exhibit higher uncertainty in their
outputs, as well as increased correlations, which we directly link to increased
bias. We propose easy-to-use criteria which, based only on the uncompressed model,
establish whether bias will increase with pruning, and identify the samples most
susceptible to biased predictions post-compression. Our code can be found at https://github.com/IST-DASLab/pruned-vision-model-bias.
acknowledgement: The authors would like to sincerely thank Sara Hooker for her feedback
during the development of this work. EI was supported in part by the FWF DK VGSCO,
grant agreement number W1260-N35. AP and DA acknowledge generous ERC support, via
Starting Grant 805223 ScaleML.
article_processing_charge: No
arxiv: 1
author:
- first_name: Eugenia B
full_name: Iofinova, Eugenia B
id: f9a17499-f6e0-11ea-865d-fdf9a3f77117
last_name: Iofinova
orcid: 0000-0002-7778-3221
- first_name: Elena-Alexandra
full_name: Peste, Elena-Alexandra
id: 32D78294-F248-11E8-B48F-1D18A9856A87
last_name: Peste
- first_name: Dan-Adrian
full_name: Alistarh, Dan-Adrian
id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
last_name: Alistarh
orcid: 0000-0003-3650-940X
citation:
ama: 'Iofinova EB, Peste E-A, Alistarh D-A. Bias in pruned vision models: In-depth
analysis and countermeasures. In: 2023 IEEE/CVF Conference on Computer Vision
and Pattern Recognition. IEEE; 2023:24364-24373. doi:10.1109/cvpr52729.2023.02334'
apa: 'Iofinova, E. B., Peste, E.-A., & Alistarh, D.-A. (2023). Bias in pruned
vision models: In-depth analysis and countermeasures. In 2023 IEEE/CVF Conference
on Computer Vision and Pattern Recognition (pp. 24364–24373). Vancouver, BC,
Canada: IEEE. https://doi.org/10.1109/cvpr52729.2023.02334'
chicago: 'Iofinova, Eugenia B, Elena-Alexandra Peste, and Dan-Adrian Alistarh. “Bias
in Pruned Vision Models: In-Depth Analysis and Countermeasures.” In 2023 IEEE/CVF
Conference on Computer Vision and Pattern Recognition, 24364–73. IEEE, 2023.
https://doi.org/10.1109/cvpr52729.2023.02334.'
ieee: 'E. B. Iofinova, E.-A. Peste, and D.-A. Alistarh, “Bias in pruned vision models:
In-depth analysis and countermeasures,” in 2023 IEEE/CVF Conference on Computer
Vision and Pattern Recognition, Vancouver, BC, Canada, 2023, pp. 24364–24373.'
ista: 'Iofinova EB, Peste E-A, Alistarh D-A. 2023. Bias in pruned vision models:
In-depth analysis and countermeasures. 2023 IEEE/CVF Conference on Computer Vision
and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition,
24364–24373.'
mla: 'Iofinova, Eugenia B., et al. “Bias in Pruned Vision Models: In-Depth Analysis
and Countermeasures.” 2023 IEEE/CVF Conference on Computer Vision and Pattern
Recognition, IEEE, 2023, pp. 24364–73, doi:10.1109/cvpr52729.2023.02334.'
short: E.B. Iofinova, E.-A. Peste, D.-A. Alistarh, in:, 2023 IEEE/CVF Conference
on Computer Vision and Pattern Recognition, IEEE, 2023, pp. 24364–24373.
conference:
end_date: 2023-06-24
location: Vancouver, BC, Canada
name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
start_date: 2023-06-17
date_created: 2024-01-10T08:42:40Z
date_published: 2023-08-22T00:00:00Z
date_updated: 2024-01-10T08:59:26Z
day: '22'
department:
- _id: DaAl
- _id: ChLa
doi: 10.1109/cvpr52729.2023.02334
ec_funded: 1
external_id:
arxiv:
- '2304.12622'
isi:
- '001062531308068'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.12622
month: '08'
oa: 1
oa_version: Preprint
page: 24364-24373
project:
- _id: 9B9290DE-BA93-11EA-9121-9846C619BF3A
grant_number: ' W1260-N35'
name: Vienna Graduate School on Computational Optimization
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '805223'
name: Elastic Coordination for Scalable Machine Learning
publication: 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition
publication_identifier:
eisbn:
- '9798350301298'
eissn:
- 2575-7075
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/IST-DASLab/pruned-vision-model-bias
status: public
title: 'Bias in pruned vision models: In-depth analysis and countermeasures'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14772'
abstract:
- lang: eng
text: "Many coupled evolution equations can be described via 2×2-block operator
matrices of the form A=[ \r\nA\tB\r\nC\tD\r\n ] in a product space X=X1×X2 with
possibly unbounded entries. Here, the case of diagonally dominant block operator
matrices is considered, that is, the case where the full operator A can be seen
as a relatively bounded perturbation of its diagonal part with D(A)=D(A)×D(D)
though with possibly large relative bound. For such operators the properties of
sectoriality, R-sectoriality and the boundedness of the H∞-calculus are studied,
and for these properties perturbation results for possibly large but structured
perturbations are derived. Thereby, the time dependent parabolic problem associated
with A can be analyzed in maximal Lpt\r\n-regularity spaces, and this is applied
to a wide range of problems such as different theories for liquid crystals, an
artificial Stokes system, strongly damped wave and plate equations, and a Keller-Segel
model."
acknowledgement: "We would like to thank Tim Binz, Emiel Lorist and Mark Veraar for
valuable discussions. We also thank the anonymous referees for their helpful comments
and suggestions, and for the very accurate reading of the manuscript.\r\nThe first
author has been supported partially by the Nachwuchsring – Network for the promotion
of young scientists – at TU Kaiserslautern. Both authors have been supported by
MathApp – Mathematics Applied to Real-World Problems - part of the Research Initiative
of the Federal State of Rhineland-Palatinate, Germany."
article_number: '110146'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Amru
full_name: Hussein, Amru
last_name: Hussein
citation:
ama: Agresti A, Hussein A. Maximal Lp-regularity and H∞-calculus for block operator
matrices and applications. Journal of Functional Analysis. 2023;285(11).
doi:10.1016/j.jfa.2023.110146
apa: Agresti, A., & Hussein, A. (2023). Maximal Lp-regularity and H∞-calculus
for block operator matrices and applications. Journal of Functional Analysis.
Elsevier. https://doi.org/10.1016/j.jfa.2023.110146
chicago: Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus
for Block Operator Matrices and Applications.” Journal of Functional Analysis.
Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110146.
ieee: A. Agresti and A. Hussein, “Maximal Lp-regularity and H∞-calculus for block
operator matrices and applications,” Journal of Functional Analysis, vol.
285, no. 11. Elsevier, 2023.
ista: Agresti A, Hussein A. 2023. Maximal Lp-regularity and H∞-calculus for block
operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.
mla: Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus
for Block Operator Matrices and Applications.” Journal of Functional Analysis,
vol. 285, no. 11, 110146, Elsevier, 2023, doi:10.1016/j.jfa.2023.110146.
short: A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
date_created: 2024-01-10T09:15:18Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2024-01-10T11:24:56Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1016/j.jfa.2023.110146
external_id:
arxiv:
- '2108.01962'
isi:
- '001081809000001'
file:
- access_level: open_access
checksum: eda98ca2aa73da91bd074baed34c2b3c
content_type: application/pdf
creator: dernst
date_created: 2024-01-10T11:23:57Z
date_updated: 2024-01-10T11:23:57Z
file_id: '14789'
file_name: 2023_JourFunctionalAnalysis_Agresti.pdf
file_size: 1120592
relation: main_file
success: 1
file_date_updated: 2024-01-10T11:23:57Z
has_accepted_license: '1'
intvolume: ' 285'
isi: 1
issue: '11'
keyword:
- Analysis
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Maximal Lp-regularity and H∞-calculus for block operator matrices and applications
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 285
year: '2023'
...
---
_id: '14773'
abstract:
- lang: eng
text: Through a combination of idealized simulations and real-world data, researchers
are uncovering how internal feedbacks and large-scale motions influence cloud
dynamics.
article_number: '28'
article_processing_charge: No
article_type: original
author:
- first_name: Caroline J
full_name: Muller, Caroline J
id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
last_name: Muller
orcid: 0000-0001-5836-5350
- first_name: Sophie
full_name: Abramian, Sophie
last_name: Abramian
citation:
ama: Muller CJ, Abramian S. The cloud dynamics of convective storm systems. Physics
Today. 2023;76(5). doi:10.1063/pt.3.5234
apa: Muller, C. J., & Abramian, S. (2023). The cloud dynamics of convective
storm systems. Physics Today. AIP Publishing. https://doi.org/10.1063/pt.3.5234
chicago: Muller, Caroline J, and Sophie Abramian. “The Cloud Dynamics of Convective
Storm Systems.” Physics Today. AIP Publishing, 2023. https://doi.org/10.1063/pt.3.5234.
ieee: C. J. Muller and S. Abramian, “The cloud dynamics of convective storm systems,”
Physics Today, vol. 76, no. 5. AIP Publishing, 2023.
ista: Muller CJ, Abramian S. 2023. The cloud dynamics of convective storm systems.
Physics Today. 76(5), 28.
mla: Muller, Caroline J., and Sophie Abramian. “The Cloud Dynamics of Convective
Storm Systems.” Physics Today, vol. 76, no. 5, 28, AIP Publishing, 2023,
doi:10.1063/pt.3.5234.
short: C.J. Muller, S. Abramian, Physics Today 76 (2023).
date_created: 2024-01-10T09:18:04Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2024-01-10T12:38:02Z
day: '01'
department:
- _id: CaMu
doi: 10.1063/pt.3.5234
external_id:
isi:
- '000984516100007'
intvolume: ' 76'
isi: 1
issue: '5'
keyword:
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.lmd.ens.fr/muller/Pubs/2023-MullerAbramianPhysToday.pdf
month: '05'
oa: 1
oa_version: Published Version
publication: Physics Today
publication_identifier:
eissn:
- 1945-0699
issn:
- 0031-9228
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
status: public
title: The cloud dynamics of convective storm systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 76
year: '2023'
...
---
_id: '14774'
abstract:
- lang: eng
text: Morphogen gradients impart positional information to cells in a homogenous
tissue field. Fgf8a, a highly conserved growth factor, has been proposed to act
as a morphogen during zebrafish gastrulation. However, technical limitations have
so far prevented direct visualization of the endogenous Fgf8a gradient and confirmation
of its morphogenic activity. Here, we monitor Fgf8a propagation in the developing
neural plate using a CRISPR/Cas9-mediated EGFP knock-in at the endogenous fgf8a
locus. By combining sensitive imaging with single-molecule fluorescence correlation
spectroscopy, we demonstrate that Fgf8a, which is produced at the embryonic margin,
propagates by diffusion through the extracellular space and forms a graded distribution
towards the animal pole. Overlaying the Fgf8a gradient curve with expression profiles
of its downstream targets determines the precise input-output relationship of
Fgf8a-mediated patterning. Manipulation of the extracellular Fgf8a levels alters
the signaling outcome, thus establishing Fgf8a as a bona fide morphogen during
zebrafish gastrulation. Furthermore, by hindering Fgf8a diffusion, we demonstrate
that extracellular diffusion of the protein from the source is crucial for it
to achieve its morphogenic potential.
acknowledgement: "We thank members of the Brand lab, as well as Justina Stark (Ivo
Sbalzarini group, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden,
Germany) for project-related discussions; Darren Gilmour (University of Zurich),
Karuna Sampath (University of Warwick) and Gokul Kesavan (Vowels Lifesciences Private
Limited, Bangalore) for comments on the manuscript; personnel of the CMCB technology
platform, TU Dresden for imaging and image analysis-related support; and Maurizio
Abbate (Technical support, Arivis) for help with image analysis. We are also grateful
to Stapornwongkul and Briscoe for commenting on a preprint version of our work (Stapornwongkul
and Briscoe, 2022).\r\nThis work was supported by the Deutsche Forschungsgemeinschaft
(BR 1746/6-2, BR 1746/11-1 and BR 1746/3 to M.B.), by a Cluster of Excellence ‘Physics
of Life’ seed grant and by institutional funds from Technische Universitat Dresden
(to M.B.). Open Access funding provided by Technische Universitat Dresden. Deposited
in PMC for immediate release."
article_number: dev201559
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Rohit K
full_name: Harish, Rohit K
id: 1bae78aa-ee0e-11ec-9b76-bc42990f409d
last_name: Harish
- first_name: Mansi
full_name: Gupta, Mansi
last_name: Gupta
- first_name: Daniela
full_name: Zöller, Daniela
last_name: Zöller
- first_name: Hella
full_name: Hartmann, Hella
last_name: Hartmann
- first_name: Ali
full_name: Gheisari, Ali
last_name: Gheisari
- first_name: Anja
full_name: Machate, Anja
last_name: Machate
- first_name: Stefan
full_name: Hans, Stefan
last_name: Hans
- first_name: Michael
full_name: Brand, Michael
last_name: Brand
citation:
ama: Harish RK, Gupta M, Zöller D, et al. Real-time monitoring of an endogenous
Fgf8a gradient attests to its role as a morphogen during zebrafish gastrulation.
Development. 2023;150(19). doi:10.1242/dev.201559
apa: Harish, R. K., Gupta, M., Zöller, D., Hartmann, H., Gheisari, A., Machate,
A., … Brand, M. (2023). Real-time monitoring of an endogenous Fgf8a gradient attests
to its role as a morphogen during zebrafish gastrulation. Development.
The Company of Biologists. https://doi.org/10.1242/dev.201559
chicago: Harish, Rohit K, Mansi Gupta, Daniela Zöller, Hella Hartmann, Ali Gheisari,
Anja Machate, Stefan Hans, and Michael Brand. “Real-Time Monitoring of an Endogenous
Fgf8a Gradient Attests to Its Role as a Morphogen during Zebrafish Gastrulation.”
Development. The Company of Biologists, 2023. https://doi.org/10.1242/dev.201559.
ieee: R. K. Harish et al., “Real-time monitoring of an endogenous Fgf8a gradient
attests to its role as a morphogen during zebrafish gastrulation,” Development,
vol. 150, no. 19. The Company of Biologists, 2023.
ista: Harish RK, Gupta M, Zöller D, Hartmann H, Gheisari A, Machate A, Hans S, Brand
M. 2023. Real-time monitoring of an endogenous Fgf8a gradient attests to its role
as a morphogen during zebrafish gastrulation. Development. 150(19), dev201559.
mla: Harish, Rohit K., et al. “Real-Time Monitoring of an Endogenous Fgf8a Gradient
Attests to Its Role as a Morphogen during Zebrafish Gastrulation.” Development,
vol. 150, no. 19, dev201559, The Company of Biologists, 2023, doi:10.1242/dev.201559.
short: R.K. Harish, M. Gupta, D. Zöller, H. Hartmann, A. Gheisari, A. Machate, S.
Hans, M. Brand, Development 150 (2023).
date_created: 2024-01-10T09:18:54Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2024-01-10T12:45:25Z
day: '01'
ddc:
- '570'
department:
- _id: AnKi
doi: 10.1242/dev.201559
external_id:
isi:
- '001097449100002'
pmid:
- '37665167'
file:
- access_level: open_access
checksum: 2d6f52dc33260a9b2352b8f28374ba5f
content_type: application/pdf
creator: dernst
date_created: 2024-01-10T12:41:13Z
date_updated: 2024-01-10T12:41:13Z
file_id: '14790'
file_name: 2023_Development_Harish.pdf
file_size: 12836306
relation: main_file
success: 1
file_date_updated: 2024-01-10T12:41:13Z
has_accepted_license: '1'
intvolume: ' 150'
isi: 1
issue: '19'
keyword:
- Developmental Biology
- Molecular Biology
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
pmid: 1
publication: Development
publication_identifier:
eissn:
- 1477-9129
issn:
- 0950-1991
publication_status: published
publisher: The Company of Biologists
quality_controlled: '1'
status: public
title: Real-time monitoring of an endogenous Fgf8a gradient attests to its role as
a morphogen during zebrafish gastrulation
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: 150
year: '2023'
...
---
_id: '14775'
abstract:
- lang: eng
text: We establish a quantitative version of the Tracy–Widom law for the largest
eigenvalue of high-dimensional sample covariance matrices. To be precise, we show
that the fluctuations of the largest eigenvalue of a sample covariance matrix
X∗X converge to its Tracy–Widom limit at a rate nearly N−1/3, where X is an M×N
random matrix whose entries are independent real or complex random variables,
assuming that both M and N tend to infinity at a constant rate. This result improves
the previous estimate N−2/9 obtained by Wang (2019). Our proof relies on a Green
function comparison method (Adv. Math. 229 (2012) 1435–1515) using iterative cumulant
expansions, the local laws for the Green function and asymptotic properties of
the correlation kernel of the white Wishart ensemble.
acknowledgement: K. Schnelli was supported by the Swedish Research Council Grants
VR-2017-05195, and the Knut and Alice Wallenberg Foundation. Y. Xu was supported
by the Swedish Research Council Grant VR-2017-05195 and the ERC Advanced Grant “RMTBeyond”
No. 101020331.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
- first_name: Yuanyuan
full_name: Xu, Yuanyuan
id: 7902bdb1-a2a4-11eb-a164-c9216f71aea3
last_name: Xu
orcid: 0000-0003-1559-1205
citation:
ama: Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices. The Annals of Applied Probability.
2023;33(1):677-725. doi:10.1214/22-aap1826
apa: Schnelli, K., & Xu, Y. (2023). Convergence rate to the Tracy–Widom laws
for the largest eigenvalue of sample covariance matrices. The Annals of Applied
Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1826
chicago: Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom
Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals
of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1826.
ieee: K. Schnelli and Y. Xu, “Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices,” The Annals of Applied Probability,
vol. 33, no. 1. Institute of Mathematical Statistics, pp. 677–725, 2023.
ista: Schnelli K, Xu Y. 2023. Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices. The Annals of Applied Probability. 33(1),
677–725.
mla: Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws
for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied
Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp.
677–725, doi:10.1214/22-aap1826.
short: K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
date_created: 2024-01-10T09:23:31Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2024-01-10T13:31:46Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/22-aap1826
ec_funded: 1
external_id:
arxiv:
- '2108.02728'
isi:
- '000946432400021'
intvolume: ' 33'
isi: 1
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2108.02728
month: '02'
oa: 1
oa_version: Preprint
page: 677-725
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: The Annals of Applied Probability
publication_identifier:
issn:
- 1050-5164
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample
covariance matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2023'
...
---
_id: '14776'
abstract:
- lang: eng
text: Soluble chaperones residing in the endoplasmic reticulum (ER) play vitally
important roles in folding and quality control of newly synthesized proteins that
transiently pass through the ER en route to their final destinations. These soluble
residents of the ER are themselves endowed with an ER retrieval signal that enables
the cell to bring the escaped residents back from the Golgi. Here, by using purified
proteins, we showed that Nicotiana tabacum phytaspase, a plant aspartate-specific
protease, introduces two breaks at the C-terminus of the N. tabacum ER resident
calreticulin-3. These cleavages resulted in removal of either a dipeptide or a
hexapeptide from the C-terminus of calreticulin-3 encompassing part or all of
the ER retrieval signal. Consistently, expression of the calreticulin-3 derivative
mimicking the phytaspase cleavage product in Nicotiana benthamiana cells demonstrated
loss of the ER accumulation of the protein. Notably, upon its escape from the
ER, calreticulin-3 was further processed by an unknown protease(s) to generate
the free N-terminal (N) domain of calreticulin-3, which was ultimately secreted
into the apoplast. Our study thus identified a specific proteolytic enzyme capable
of precise detachment of the ER retrieval signal from a plant ER resident protein,
with implications for the further fate of the escaped resident.
acknowledgement: "We thank C.U.T. Hellen for critically reading the manuscript. The
MALDI MS facility and CLSM became available to us in the framework of Moscow State
University Development Programs PNG 5.13 and PNR 5.13.\r\nThis work was funded by
the Russian Science Foundation, grant numbers 19-14-00010 and 22-14-00071."
article_number: '16527'
article_processing_charge: Yes
article_type: original
author:
- first_name: Anastasiia
full_name: Teplova, Anastasiia
id: e3736151-106c-11ec-b916-c2558e2762c6
last_name: Teplova
- first_name: Artemii A.
full_name: Pigidanov, Artemii A.
last_name: Pigidanov
- first_name: Marina V.
full_name: Serebryakova, Marina V.
last_name: Serebryakova
- first_name: Sergei A.
full_name: Golyshev, Sergei A.
last_name: Golyshev
- first_name: Raisa A.
full_name: Galiullina, Raisa A.
last_name: Galiullina
- first_name: Nina V.
full_name: Chichkova, Nina V.
last_name: Chichkova
- first_name: Andrey B.
full_name: Vartapetian, Andrey B.
last_name: Vartapetian
citation:
ama: Teplova A, Pigidanov AA, Serebryakova MV, et al. Phytaspase Is capable of detaching
the endoplasmic reticulum retrieval signal from tobacco calreticulin-3. International
Journal of Molecular Sciences. 2023;24(22). doi:10.3390/ijms242216527
apa: Teplova, A., Pigidanov, A. A., Serebryakova, M. V., Golyshev, S. A., Galiullina,
R. A., Chichkova, N. V., & Vartapetian, A. B. (2023). Phytaspase Is capable
of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3.
International Journal of Molecular Sciences. MDPI. https://doi.org/10.3390/ijms242216527
chicago: Teplova, Anastasiia, Artemii A. Pigidanov, Marina V. Serebryakova, Sergei
A. Golyshev, Raisa A. Galiullina, Nina V. Chichkova, and Andrey B. Vartapetian.
“Phytaspase Is Capable of Detaching the Endoplasmic Reticulum Retrieval Signal
from Tobacco Calreticulin-3.” International Journal of Molecular Sciences.
MDPI, 2023. https://doi.org/10.3390/ijms242216527.
ieee: A. Teplova et al., “Phytaspase Is capable of detaching the endoplasmic
reticulum retrieval signal from tobacco calreticulin-3,” International Journal
of Molecular Sciences, vol. 24, no. 22. MDPI, 2023.
ista: Teplova A, Pigidanov AA, Serebryakova MV, Golyshev SA, Galiullina RA, Chichkova
NV, Vartapetian AB. 2023. Phytaspase Is capable of detaching the endoplasmic reticulum
retrieval signal from tobacco calreticulin-3. International Journal of Molecular
Sciences. 24(22), 16527.
mla: Teplova, Anastasiia, et al. “Phytaspase Is Capable of Detaching the Endoplasmic
Reticulum Retrieval Signal from Tobacco Calreticulin-3.” International Journal
of Molecular Sciences, vol. 24, no. 22, 16527, MDPI, 2023, doi:10.3390/ijms242216527.
short: A. Teplova, A.A. Pigidanov, M.V. Serebryakova, S.A. Golyshev, R.A. Galiullina,
N.V. Chichkova, A.B. Vartapetian, International Journal of Molecular Sciences
24 (2023).
date_created: 2024-01-10T09:24:35Z
date_published: 2023-11-01T00:00:00Z
date_updated: 2024-01-10T13:41:10Z
day: '01'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.3390/ijms242216527
external_id:
isi:
- '001113792600001'
pmid:
- '38003717'
file:
- access_level: open_access
checksum: 4df7d206ba022b7f54eff1f0aec1659a
content_type: application/pdf
creator: dernst
date_created: 2024-01-10T13:39:42Z
date_updated: 2024-01-10T13:39:42Z
file_id: '14791'
file_name: 2023_IJMS_Teplova.pdf
file_size: 2637784
relation: main_file
success: 1
file_date_updated: 2024-01-10T13:39:42Z
has_accepted_license: '1'
intvolume: ' 24'
isi: 1
issue: '22'
keyword:
- Inorganic Chemistry
- Organic Chemistry
- Physical and Theoretical Chemistry
- Computer Science Applications
- Spectroscopy
- Molecular Biology
- General Medicine
- Catalysis
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
publication: International Journal of Molecular Sciences
publication_identifier:
issn:
- 1422-0067
publication_status: published
publisher: MDPI
quality_controlled: '1'
status: public
title: Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal
from tobacco calreticulin-3
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: 24
year: '2023'
...
---
_id: '14777'
abstract:
- lang: eng
text: The effects of the partial V-substitution for Ag on the thermoelectric (TE)
properties are investigated for a flexible semiconducting compound Ag2S0.55Se0.45.
Density functional theory calculations predict that such a partial V-substitution
constructively modifies the electronic structure near the bottom of the conduction
band to improve the TE performance. The synthesized Ag1.97V0.03S0.55Se0.45 is
found to possess a TE dimensionless figure-of-merit (ZT) of 0.71 at 350 K with
maintaining its flexible nature. This ZT value is relatively high in comparison
with those reported for flexible TE materials below 360 K. The increase in the
ZT value is caused by the enhanced absolute value of the Seebeck coefficient with
less significant variation in electrical resistivity. The high ZT value with the
flexible nature naturally allows us to employ the Ag1.97V0.03S0.55Se0.45 as a
component of flexible TE generators.
acknowledgement: This work received financial support partially from Japan Science
and Technology Agency (JST) CREST Grant No. JPMJCR18I2, Japan. The powder-XRD experiments
were conducted at BL5S2 of Aichi Synchrotron Radiation Center, Aichi Science & Technology
Foundation, Aichi, Japan (Proposal No. 202301057).
article_number: '125206'
article_processing_charge: Yes
article_type: original
author:
- first_name: Kosuke
full_name: Sato, Kosuke
last_name: Sato
- first_name: Saurabh
full_name: Singh, Saurabh
id: 12d625da-9cb3-11ed-9667-af09d37d3f0a
last_name: Singh
orcid: 0000-0003-2209-5269
- first_name: Itsuki
full_name: Yamazaki, Itsuki
last_name: Yamazaki
- first_name: Keisuke
full_name: Hirata, Keisuke
last_name: Hirata
- first_name: Artoni Kevin R.
full_name: Ang, Artoni Kevin R.
last_name: Ang
- first_name: Masaharu
full_name: Matsunami, Masaharu
last_name: Matsunami
- first_name: Tsunehiro
full_name: Takeuchi, Tsunehiro
last_name: Takeuchi
citation:
ama: Sato K, Singh S, Yamazaki I, et al. Improvement of thermoelectric performance
of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag.
AIP Advances. 2023;13(12). doi:10.1063/5.0171888
apa: Sato, K., Singh, S., Yamazaki, I., Hirata, K., Ang, A. K. R., Matsunami, M.,
& Takeuchi, T. (2023). Improvement of thermoelectric performance of flexible
compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag. AIP Advances.
AIP Publishing. https://doi.org/10.1063/5.0171888
chicago: Sato, Kosuke, Saurabh Singh, Itsuki Yamazaki, Keisuke Hirata, Artoni Kevin
R. Ang, Masaharu Matsunami, and Tsunehiro Takeuchi. “Improvement of Thermoelectric
Performance of Flexible Compound Ag2S0.55Se0.45 by Means of Partial V-Substitution
for Ag.” AIP Advances. AIP Publishing, 2023. https://doi.org/10.1063/5.0171888.
ieee: K. Sato et al., “Improvement of thermoelectric performance of flexible
compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag,” AIP Advances,
vol. 13, no. 12. AIP Publishing, 2023.
ista: Sato K, Singh S, Yamazaki I, Hirata K, Ang AKR, Matsunami M, Takeuchi T. 2023.
Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45
by means of partial V-substitution for Ag. AIP Advances. 13(12), 125206.
mla: Sato, Kosuke, et al. “Improvement of Thermoelectric Performance of Flexible
Compound Ag2S0.55Se0.45 by Means of Partial V-Substitution for Ag.” AIP Advances,
vol. 13, no. 12, 125206, AIP Publishing, 2023, doi:10.1063/5.0171888.
short: K. Sato, S. Singh, I. Yamazaki, K. Hirata, A.K.R. Ang, M. Matsunami, T. Takeuchi,
AIP Advances 13 (2023).
date_created: 2024-01-10T09:26:08Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2024-01-10T13:49:09Z
day: '01'
ddc:
- '540'
department:
- _id: MaIb
doi: 10.1063/5.0171888
external_id:
isi:
- '001114917200005'
file:
- access_level: open_access
checksum: a7098388b8ff822b47f5ddd37ed3bdbc
content_type: application/pdf
creator: dernst
date_created: 2024-01-10T13:47:31Z
date_updated: 2024-01-10T13:47:31Z
file_id: '14792'
file_name: 2023_AIPAdvances_Sato.pdf
file_size: 9676071
relation: main_file
success: 1
file_date_updated: 2024-01-10T13:47:31Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
issue: '12'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: AIP Advances
publication_identifier:
eissn:
- 2158-3226
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
status: public
title: Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45
by means of partial V-substitution for Ag
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: 13
year: '2023'
...
---
_id: '14778'
abstract:
- lang: eng
text: 'We consider the almost-sure (a.s.) termination problem for probabilistic
programs, which are a stochastic extension of classical imperative programs. Lexicographic
ranking functions provide a sound and practical approach for termination of non-probabilistic
programs, and their extension to probabilistic programs is achieved via lexicographic
ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous
work have a limitation that impedes their automation: all of their components
have to be non-negative in all reachable states. This might result in a LexRSM
not existing even for simple terminating programs. Our contributions are twofold.
First, we introduce a generalization of LexRSMs that allows for some components
to be negative. This standard feature of non-probabilistic termination proofs
was hitherto not known to be sound in the probabilistic setting, as the soundness
proof requires a careful analysis of the underlying stochastic process. Second,
we present polynomial-time algorithms using our generalized LexRSMs for proving
a.s. termination in broad classes of linear-arithmetic programs.'
acknowledgement: This research was partially supported by the ERC CoG (grant no. 863818;
ForM-SMArt), the Czech Science Foundation (grant no. GA21-24711S), and the European
Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
Grant Agreement No. 665385.
article_number: '11'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ehsan
full_name: Kafshdar Goharshady, Ehsan
last_name: Kafshdar Goharshady
- first_name: Petr
full_name: Novotný, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotný
- first_name: Jiří
full_name: Zárevúcky, Jiří
last_name: Zárevúcky
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. On
lexicographic proof rules for probabilistic termination. Formal Aspects of
Computing. 2023;35(2). doi:10.1145/3585391
apa: Chatterjee, K., Kafshdar Goharshady, E., Novotný, P., Zárevúcky, J., &
Zikelic, D. (2023). On lexicographic proof rules for probabilistic termination.
Formal Aspects of Computing. Association for Computing Machinery. https://doi.org/10.1145/3585391
chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, Jiří Zárevúcky,
and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.”
Formal Aspects of Computing. Association for Computing Machinery, 2023.
https://doi.org/10.1145/3585391.
ieee: K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic,
“On lexicographic proof rules for probabilistic termination,” Formal Aspects
of Computing, vol. 35, no. 2. Association for Computing Machinery, 2023.
ista: Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. 2023.
On lexicographic proof rules for probabilistic termination. Formal Aspects of
Computing. 35(2), 11.
mla: Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic
Termination.” Formal Aspects of Computing, vol. 35, no. 2, 11, Association
for Computing Machinery, 2023, doi:10.1145/3585391.
short: K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic,
Formal Aspects of Computing 35 (2023).
date_created: 2024-01-10T09:27:43Z
date_published: 2023-06-23T00:00:00Z
date_updated: 2025-07-14T09:10:10Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3585391
ec_funded: 1
external_id:
arxiv:
- '2108.02188'
file:
- access_level: open_access
checksum: 3bb133eeb27ec01649a9a36445d952d9
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T08:11:24Z
date_updated: 2024-01-16T08:11:24Z
file_id: '14804'
file_name: 2023_FormalAspectsComputing_Chatterjee.pdf
file_size: 502522
relation: main_file
success: 1
file_date_updated: 2024-01-16T08:11:24Z
has_accepted_license: '1'
intvolume: ' 35'
issue: '2'
keyword:
- Theoretical Computer Science
- Software
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Formal Aspects of Computing
publication_identifier:
eissn:
- 1433-299X
issn:
- 0934-5043
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '10414'
relation: earlier_version
status: public
status: public
title: On lexicographic proof rules for probabilistic termination
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: 35
year: '2023'
...
---
_id: '14779'
abstract:
- lang: eng
text: The presence of a developed boundary layer decouples a glacier's response
from ambient conditions, suggesting that sensitivity to climate change is increased
by glacier retreat. To test this hypothesis, we explore six years of distributed
meteorological data on a small Swiss glacier in the period 2001–2022. Large glacier
fragmentation has occurred since 2001 (−35% area change up to 2022) coinciding
with notable frontal retreat, an observed switch from down‐glacier katabatic to
up‐glacier valley winds and an increased sensitivity (ratio) of on‐glacier to
off‐glacier temperature. As the glacier ceases to develop density‐driven katabatic
winds, sensible heat fluxes on the glacier are increasingly determined by the
conditions occurring outside the boundary layer of the glacier, sealing the glacier's
demise as the climate continues to warm and experience an increased frequency
of extreme summers.
acknowledgement: This work was funded by the EU Horizon 2020 Marie Skłodowska-Curie
Actions Grant 101026058. The authors acknowl-edge the dedicated collection of field
data by many parties since 2001, including those acknowledged for the cited works
on Arolla Glacier. The authors would like to thank Fabienne Meier, Alice Zaugg,
Raphael Willi, Maria Grundmann, and Marta Corrà for assistance in the field for
the summers of 2021 and 2022. Off-glacier data provided by Grand Dixence SA (Arolla)
and MeteoSwiss are kindly acknowledged. Simone Fatichi is thanked for the provision
and support in the use of the Tethys-Chloris model. We thank Editor Mathieu Morlighem
and two anonymous reviewers whose comments have helped to improve the quality of
the manuscript.
article_number: e2023GL103043
article_processing_charge: No
article_type: original
author:
- first_name: Thomas E.
full_name: Shaw, Thomas E.
last_name: Shaw
- first_name: Pascal
full_name: Buri, Pascal
last_name: Buri
- first_name: Michael
full_name: McCarthy, Michael
last_name: McCarthy
- first_name: Evan S.
full_name: Miles, Evan S.
last_name: Miles
- first_name: Álvaro
full_name: Ayala, Álvaro
last_name: Ayala
- first_name: Francesca
full_name: Pellicciotti, Francesca
id: b28f055a-81ea-11ed-b70c-a9fe7f7b0e70
last_name: Pellicciotti
orcid: 0000-0002-5554-8087
citation:
ama: Shaw TE, Buri P, McCarthy M, Miles ES, Ayala Á, Pellicciotti F. The decaying
near‐surface boundary layer of a retreating alpine glacier. Geophysical Research
Letters. 2023;50(11). doi:10.1029/2023gl103043
apa: Shaw, T. E., Buri, P., McCarthy, M., Miles, E. S., Ayala, Á., & Pellicciotti,
F. (2023). The decaying near‐surface boundary layer of a retreating alpine glacier.
Geophysical Research Letters. American Geophysical Union. https://doi.org/10.1029/2023gl103043
chicago: Shaw, Thomas E., Pascal Buri, Michael McCarthy, Evan S. Miles, Álvaro Ayala,
and Francesca Pellicciotti. “The Decaying Near‐surface Boundary Layer of a Retreating
Alpine Glacier.” Geophysical Research Letters. American Geophysical Union,
2023. https://doi.org/10.1029/2023gl103043.
ieee: T. E. Shaw, P. Buri, M. McCarthy, E. S. Miles, Á. Ayala, and F. Pellicciotti,
“The decaying near‐surface boundary layer of a retreating alpine glacier,” Geophysical
Research Letters, vol. 50, no. 11. American Geophysical Union, 2023.
ista: Shaw TE, Buri P, McCarthy M, Miles ES, Ayala Á, Pellicciotti F. 2023. The
decaying near‐surface boundary layer of a retreating alpine glacier. Geophysical
Research Letters. 50(11), e2023GL103043.
mla: Shaw, Thomas E., et al. “The Decaying Near‐surface Boundary Layer of a Retreating
Alpine Glacier.” Geophysical Research Letters, vol. 50, no. 11, e2023GL103043,
American Geophysical Union, 2023, doi:10.1029/2023gl103043.
short: T.E. Shaw, P. Buri, M. McCarthy, E.S. Miles, Á. Ayala, F. Pellicciotti, Geophysical
Research Letters 50 (2023).
date_created: 2024-01-10T09:28:34Z
date_published: 2023-06-16T00:00:00Z
date_updated: 2024-01-16T08:42:36Z
day: '16'
ddc:
- '550'
department:
- _id: FrPe
doi: 10.1029/2023gl103043
external_id:
isi:
- '000999436400001'
file:
- access_level: open_access
checksum: 391a3005c95340a0ae129ce4fbdf2bae
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T08:35:02Z
date_updated: 2024-01-16T08:35:02Z
file_id: '14805'
file_name: 2023_GeophysicalResearchLetter_Shaw.pdf
file_size: 2529327
relation: main_file
success: 1
file_date_updated: 2024-01-16T08:35:02Z
has_accepted_license: '1'
intvolume: ' 50'
isi: 1
issue: '11'
keyword:
- General Earth and Planetary Sciences
- Geophysics
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Geophysical Research Letters
publication_identifier:
eissn:
- 1944-8007
issn:
- 0094-8276
publication_status: published
publisher: American Geophysical Union
quality_controlled: '1'
status: public
title: The decaying near‐surface boundary layer of a retreating alpine glacier
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: 50
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: '14781'
abstract:
- lang: eng
text: Germ granules, condensates of phase-separated RNA and protein, are organelles
that are essential for germline development in different organisms. The patterning
of the granules and their relevance for germ cell fate are not fully understood.
Combining three-dimensional in vivo structural and functional analyses, we study
the dynamic spatial organization of molecules within zebrafish germ granules.
We find that the localization of RNA molecules to the periphery of the granules,
where ribosomes are localized, depends on translational activity at this location.
In addition, we find that the vertebrate-specific Dead end (Dnd1) protein is essential
for nanos3 RNA localization at the condensates’ periphery. Accordingly, in the
absence of Dnd1, or when translation is inhibited, nanos3 RNA translocates into
the granule interior, away from the ribosomes, a process that is correlated with
the loss of germ cell fate. These findings highlight the relevance of sub-granule
compartmentalization for post-transcriptional control and its importance for preserving
germ cell totipotency.
acknowledgement: We thank Celeste Brennecka for editing and Michal Reichman-Fried
for critical comments on the manuscript. We thank Ursula Jordan, Esther Messerschmidt,
and Ines Sandbote for technical assistance. This work was supported by funding from
the University of Münster (K.J.W., K.T., E.R., A.G., T.G.-T., J.S., and M.G.), the
Max Planck Institute for Molecular Biomedicine (D.Z.), the German Research Foundation
grant CRU 326 (P2) RA863/12-2 (E.R.), Baylor University (K.H. and D.R.), and the
National Institutes of Health grant R35 GM 134910 (D.R.). We thank the referees
for insightful comments that helped improve the manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Kim Joana
full_name: Westerich, Kim Joana
last_name: Westerich
- first_name: Katsiaryna
full_name: Tarbashevich, Katsiaryna
last_name: Tarbashevich
- first_name: Jan
full_name: Schick, Jan
last_name: Schick
- first_name: Antra
full_name: Gupta, Antra
last_name: Gupta
- first_name: Mingzhao
full_name: Zhu, Mingzhao
last_name: Zhu
- first_name: Kenneth
full_name: Hull, Kenneth
last_name: Hull
- first_name: Daniel
full_name: Romo, Daniel
last_name: Romo
- first_name: Dagmar
full_name: Zeuschner, Dagmar
last_name: Zeuschner
- first_name: Mohammad
full_name: Goudarzi, Mohammad
id: 3384113A-F248-11E8-B48F-1D18A9856A87
last_name: Goudarzi
- first_name: Theresa
full_name: Gross-Thebing, Theresa
last_name: Gross-Thebing
- first_name: Erez
full_name: Raz, Erez
last_name: Raz
citation:
ama: Westerich KJ, Tarbashevich K, Schick J, et al. Spatial organization and function
of RNA molecules within phase-separated condensates in zebrafish are controlled
by Dnd1. Developmental Cell. 2023;58(17):1578-1592.e5. doi:10.1016/j.devcel.2023.06.009
apa: Westerich, K. J., Tarbashevich, K., Schick, J., Gupta, A., Zhu, M., Hull, K.,
… Raz, E. (2023). Spatial organization and function of RNA molecules within phase-separated
condensates in zebrafish are controlled by Dnd1. Developmental Cell. Elsevier.
https://doi.org/10.1016/j.devcel.2023.06.009
chicago: Westerich, Kim Joana, Katsiaryna Tarbashevich, Jan Schick, Antra Gupta,
Mingzhao Zhu, Kenneth Hull, Daniel Romo, et al. “Spatial Organization and Function
of RNA Molecules within Phase-Separated Condensates in Zebrafish Are Controlled
by Dnd1.” Developmental Cell. Elsevier, 2023. https://doi.org/10.1016/j.devcel.2023.06.009.
ieee: K. J. Westerich et al., “Spatial organization and function of RNA molecules
within phase-separated condensates in zebrafish are controlled by Dnd1,” Developmental
Cell, vol. 58, no. 17. Elsevier, p. 1578–1592.e5, 2023.
ista: Westerich KJ, Tarbashevich K, Schick J, Gupta A, Zhu M, Hull K, Romo D, Zeuschner
D, Goudarzi M, Gross-Thebing T, Raz E. 2023. Spatial organization and function
of RNA molecules within phase-separated condensates in zebrafish are controlled
by Dnd1. Developmental Cell. 58(17), 1578–1592.e5.
mla: Westerich, Kim Joana, et al. “Spatial Organization and Function of RNA Molecules
within Phase-Separated Condensates in Zebrafish Are Controlled by Dnd1.” Developmental
Cell, vol. 58, no. 17, Elsevier, 2023, p. 1578–1592.e5, doi:10.1016/j.devcel.2023.06.009.
short: K.J. Westerich, K. Tarbashevich, J. Schick, A. Gupta, M. Zhu, K. Hull, D.
Romo, D. Zeuschner, M. Goudarzi, T. Gross-Thebing, E. Raz, Developmental Cell
58 (2023) 1578–1592.e5.
date_created: 2024-01-10T09:41:21Z
date_published: 2023-09-11T00:00:00Z
date_updated: 2024-01-16T08:56:36Z
day: '11'
department:
- _id: Bio
doi: 10.1016/j.devcel.2023.06.009
external_id:
pmid:
- '37463577'
intvolume: ' 58'
issue: '17'
keyword:
- Developmental Biology
- Cell Biology
- General Biochemistry
- Genetics and Molecular Biology
- Molecular Biology
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.biorxiv.org/content/10.1101/2023.07.09.548244
month: '09'
oa: 1
oa_version: Preprint
page: 1578-1592.e5
pmid: 1
publication: Developmental Cell
publication_identifier:
issn:
- 1534-5807
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Spatial organization and function of RNA molecules within phase-separated condensates
in zebrafish are controlled by Dnd1
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2023'
...
---
_id: '14782'
abstract:
- lang: eng
text: The actin cortex is a complex cytoskeletal machinery that drives and responds
to changes in cell shape. It must generate or adapt to plasma membrane curvature
to facilitate diverse functions such as cell division, migration, and phagocytosis.
Due to the complex molecular makeup of the actin cortex, it remains unclear whether
actin networks are inherently able to sense and generate membrane curvature, or
whether they rely on their diverse binding partners to accomplish this. Here,
we show that curvature sensing is an inherent capability of branched actin networks
nucleated by Arp2/3 and VCA. We develop a robust method to encapsulate actin inside
giant unilamellar vesicles (GUVs) and assemble an actin cortex at the inner surface
of the GUV membrane. We show that actin forms a uniform and thin cortical layer
when present at high concentration and distinct patches associated with negative
membrane curvature at low concentration. Serendipitously, we find that the GUV
production method also produces dumbbell-shaped GUVs, which we explain using mathematical
modeling in terms of membrane hemifusion of nested GUVs. We find that branched
actin networks preferentially assemble at the neck of the dumbbells, which possess
a micrometer-range convex curvature comparable with the curvature of the actin
patches found in spherical GUVs. Minimal branched actin networks can thus sense
membrane curvature, which may help mammalian cells to robustly recruit actin to
curved membranes to facilitate diverse cellular functions such as cytokinesis
and migration.
acknowledgement: We thank Jeffrey den Haan for protein purification, Kristina Ganzinger
(AMOLF) for providing the 10xHis VCA construct, David Kovar (University of Chicago)
for the CP constructs, and Michael Way (Crick Institute) for providing purified
human Arp2/3 proteins. We are grateful to Iris Lambert for early actin encapsulation
experiments that formed the basis for establishing the eDICE method, to Federico
Fanalista for acquiring images of dumbbell-shaped GUVs in samples produced by cDICE,
and to Tom Aarts for images of dumbbell-shaped GUVs produced by gel-assisted swelling.
Lennard van Buren is thanked for his help with image analysis to quantify actin
concentrations in GUVs. We thank Kristina Ganzinger (AMOLF) for hosting us to perform
pyrene assays in her lab, and Balász Antalicz (AMOLF) for technical assistance with
the spectrophotometer. The authors also thank Matthieu Piel and Daniel Fletcher
for insightful and inspiring discussions. We acknowledge financial support from
The Netherlands Organization of Scientific Research (NWO/OCW) Gravitation program
Building a Synthetic Cell (BaSyC) (024.003.019). F.F. gratefully acknowledges funding
from the Kavli Synergy program of the Kavli Institute of Nanoscience Delft.
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Lucia
full_name: Baldauf, Lucia
last_name: Baldauf
- first_name: Felix F
full_name: Frey, Felix F
id: a0270b37-8f1a-11ec-95c7-8e710c59a4f3
last_name: Frey
- first_name: Marcos
full_name: Arribas Perez, Marcos
last_name: Arribas Perez
- first_name: Timon
full_name: Idema, Timon
last_name: Idema
- first_name: Gijsje H.
full_name: Koenderink, Gijsje H.
last_name: Koenderink
citation:
ama: Baldauf L, Frey FF, Arribas Perez M, Idema T, Koenderink GH. Branched actin
cortices reconstituted in vesicles sense membrane curvature. Biophysical Journal.
2023;122(11):2311-2324. doi:10.1016/j.bpj.2023.02.018
apa: Baldauf, L., Frey, F. F., Arribas Perez, M., Idema, T., & Koenderink, G.
H. (2023). Branched actin cortices reconstituted in vesicles sense membrane curvature.
Biophysical Journal. Elsevier. https://doi.org/10.1016/j.bpj.2023.02.018
chicago: Baldauf, Lucia, Felix F Frey, Marcos Arribas Perez, Timon Idema, and Gijsje
H. Koenderink. “Branched Actin Cortices Reconstituted in Vesicles Sense Membrane
Curvature.” Biophysical Journal. Elsevier, 2023. https://doi.org/10.1016/j.bpj.2023.02.018.
ieee: L. Baldauf, F. F. Frey, M. Arribas Perez, T. Idema, and G. H. Koenderink,
“Branched actin cortices reconstituted in vesicles sense membrane curvature,”
Biophysical Journal, vol. 122, no. 11. Elsevier, pp. 2311–2324, 2023.
ista: Baldauf L, Frey FF, Arribas Perez M, Idema T, Koenderink GH. 2023. Branched
actin cortices reconstituted in vesicles sense membrane curvature. Biophysical
Journal. 122(11), 2311–2324.
mla: Baldauf, Lucia, et al. “Branched Actin Cortices Reconstituted in Vesicles Sense
Membrane Curvature.” Biophysical Journal, vol. 122, no. 11, Elsevier, 2023,
pp. 2311–24, doi:10.1016/j.bpj.2023.02.018.
short: L. Baldauf, F.F. Frey, M. Arribas Perez, T. Idema, G.H. Koenderink, Biophysical
Journal 122 (2023) 2311–2324.
date_created: 2024-01-10T09:45:48Z
date_published: 2023-06-06T00:00:00Z
date_updated: 2024-01-16T09:20:03Z
day: '06'
ddc:
- '570'
department:
- _id: AnSa
doi: 10.1016/j.bpj.2023.02.018
external_id:
isi:
- '001016792600001'
pmid:
- '36806830'
file:
- access_level: open_access
checksum: 70566e54cd95ea6df340909ad44c5cd5
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T09:09:29Z
date_updated: 2024-01-16T09:09:29Z
file_id: '14807'
file_name: 2023_BiophysicalJournal_Baldauf.pdf
file_size: 3285810
relation: main_file
success: 1
file_date_updated: 2024-01-16T09:09:29Z
has_accepted_license: '1'
intvolume: ' 122'
isi: 1
issue: '11'
keyword:
- Biophysics
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 2311-2324
pmid: 1
publication: Biophysical Journal
publication_identifier:
issn:
- 0006-3495
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/BioSoftMatterGroup/actin-curvature-sensing
status: public
title: Branched actin cortices reconstituted in vesicles sense membrane curvature
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 122
year: '2023'
...
---
_id: '10145'
abstract:
- lang: eng
text: We study direct integrals of quadratic and Dirichlet forms. We show that each
quasi-regular Dirichlet space over a probability space admits a unique representation
as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same
underlying topology. The same holds for each quasi-regular strongly local Dirichlet
space over a metrizable Luzin σ-finite Radon measure space, and admitting carré
du champ operator. In this case, the representation is only projectively unique.
acknowledgement: The author is grateful to Professors Sergio Albeverio and Andreas
Eberle, and to Dr. Kohei Suzuki, for fruitful conversations on the subject of the
present work, and for respectively pointing out the references [1, 13], and [3,
20]. Finally, he is especially grateful to an anonymous Reviewer for their very
careful reading and their suggestions which improved the readability of the paper.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
full_name: Dello Schiavo, Lorenzo
id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
last_name: Dello Schiavo
orcid: 0000-0002-9881-6870
citation:
ama: Dello Schiavo L. Ergodic decomposition of Dirichlet forms via direct integrals
and applications. Potential Analysis. 2023;58:573-615. doi:10.1007/s11118-021-09951-y
apa: Dello Schiavo, L. (2023). Ergodic decomposition of Dirichlet forms via direct
integrals and applications. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-021-09951-y
chicago: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
Integrals and Applications.” Potential Analysis. Springer Nature, 2023.
https://doi.org/10.1007/s11118-021-09951-y.
ieee: L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals
and applications,” Potential Analysis, vol. 58. Springer Nature, pp. 573–615,
2023.
ista: Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct
integrals and applications. Potential Analysis. 58, 573–615.
mla: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
Integrals and Applications.” Potential Analysis, vol. 58, Springer Nature,
2023, pp. 573–615, doi:10.1007/s11118-021-09951-y.
short: L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
date_created: 2021-10-17T22:01:17Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-10-04T09:19:12Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s11118-021-09951-y
ec_funded: 1
external_id:
arxiv:
- '2003.01366'
isi:
- '000704213400001'
file:
- access_level: open_access
checksum: 625526482be300ca7281c91c30d41725
content_type: application/pdf
creator: dernst
date_created: 2023-10-04T09:18:59Z
date_updated: 2023-10-04T09:18:59Z
file_id: '14387'
file_name: 2023_PotentialAnalysis_DelloSchiavo.pdf
file_size: 806391
relation: main_file
success: 1
file_date_updated: 2023-10-04T09:18:59Z
has_accepted_license: '1'
intvolume: ' 58'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 573-615
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
publication: Potential Analysis
publication_identifier:
eissn:
- 1572-929X
issn:
- 0926-2601
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ergodic decomposition of Dirichlet forms via direct integrals and applications
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2023'
...
---
_id: '10173'
abstract:
- lang: eng
text: We study the large scale behavior of elliptic systems with stationary random
coefficient that have only slowly decaying correlations. To this aim we analyze
the so-called corrector equation, a degenerate elliptic equation posed in the
probability space. In this contribution, we use a parabolic approach and optimally
quantify the time decay of the semigroup. For the theoretical point of view, we
prove an optimal decay estimate of the gradient and flux of the corrector when
spatially averaged over a scale R larger than 1. For the numerical point of view,
our results provide convenient tools for the analysis of various numerical methods.
acknowledgement: "I would like to thank my advisor Antoine Gloria for suggesting this
problem to me, as well for many interesting discussions and suggestions.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Nicolas
full_name: Clozeau, Nicolas
id: fea1b376-906f-11eb-847d-b2c0cf46455b
last_name: Clozeau
citation:
ama: 'Clozeau N. Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields. Stochastics and Partial Differential Equations:
Analysis and Computations. 2023;11:1254–1378. doi:10.1007/s40072-022-00254-w'
apa: 'Clozeau, N. (2023). Optimal decay of the parabolic semigroup in stochastic
homogenization for correlated coefficient fields. Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-022-00254-w'
chicago: 'Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic
Homogenization for Correlated Coefficient Fields.” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2023.
https://doi.org/10.1007/s40072-022-00254-w.'
ieee: 'N. Clozeau, “Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields,” Stochastics and Partial Differential Equations:
Analysis and Computations, vol. 11. Springer Nature, pp. 1254–1378, 2023.'
ista: 'Clozeau N. 2023. Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields. Stochastics and Partial Differential Equations:
Analysis and Computations. 11, 1254–1378.'
mla: 'Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic
Homogenization for Correlated Coefficient Fields.” Stochastics and Partial
Differential Equations: Analysis and Computations, vol. 11, Springer Nature,
2023, pp. 1254–1378, doi:10.1007/s40072-022-00254-w.'
short: 'N. Clozeau, Stochastics and Partial Differential Equations: Analysis and
Computations 11 (2023) 1254–1378.'
date_created: 2021-10-23T10:50:22Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2023-08-14T11:51:47Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s40072-022-00254-w
external_id:
arxiv:
- '2102.07452'
isi:
- '000799715600001'
file:
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checksum: f83dcaecdbd3ace862c4ed97a20e8501
content_type: application/pdf
creator: dernst
date_created: 2023-08-14T11:51:04Z
date_updated: 2023-08-14T11:51:04Z
file_id: '14052'
file_name: 2023_StochPartialDiffEquations_Clozeau.pdf
file_size: 1635193
relation: main_file
success: 1
file_date_updated: 2023-08-14T11:51:04Z
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intvolume: ' 11'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1254–1378
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
issn:
- 2194-0401
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal decay of the parabolic semigroup in stochastic homogenization for
correlated coefficient fields
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: 11
year: '2023'
...
---
_id: '10405'
abstract:
- lang: eng
text: 'We consider large non-Hermitian random matrices X with complex, independent,
identically distributed centred entries and show that the linear statistics of
their eigenvalues are asymptotically Gaussian for test functions having 2+ϵ derivatives.
Previously this result was known only for a few special cases; either the test
functions were required to be analytic [72], or the distribution of the matrix
elements needed to be Gaussian [73], or at least match the Gaussian up to the
first four moments [82, 56]. We find the exact dependence of the limiting variance
on the fourth cumulant that was not known before. The proof relies on two novel
ingredients: (i) a local law for a product of two resolvents of the Hermitisation
of X with different spectral parameters and (ii) a coupling of several weakly
dependent Dyson Brownian motions. These methods are also the key inputs for our
analogous results on the linear eigenvalue statistics of real matrices X that
are presented in the companion paper [32]. '
acknowledgement: L.E. would like to thank Nathanaël Berestycki and D.S.would like
to thank Nina Holden for valuable discussions on the Gaussian freefield.G.C. and
L.E. are partially supported by ERC Advanced Grant No. 338804.G.C. received funding
from the European Union’s Horizon 2020 research and in-novation programme under
the Marie Skłodowska-Curie Grant Agreement No.665385. D.S. is supported by Dr. Max
Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue
statistics of non-Hermitian random matrices. Communications on Pure and Applied
Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Central limit theorem
for linear eigenvalue statistics of non-Hermitian random matrices. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.22028
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Central Limit
Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” Communications
on Pure and Applied Mathematics. Wiley, 2023. https://doi.org/10.1002/cpa.22028.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear
eigenvalue statistics of non-Hermitian random matrices,” Communications on
Pure and Applied Mathematics, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.
ista: Cipolloni G, Erdös L, Schröder DJ. 2023. Central limit theorem for linear
eigenvalue statistics of non-Hermitian random matrices. Communications on Pure
and Applied Mathematics. 76(5), 946–1034.
mla: Cipolloni, Giorgio, et al. “Central Limit Theorem for Linear Eigenvalue Statistics
of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics,
vol. 76, no. 5, Wiley, 2023, pp. 946–1034, doi:10.1002/cpa.22028.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied
Mathematics 76 (2023) 946–1034.
date_created: 2021-12-05T23:01:41Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2023-10-04T09:22:55Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1002/cpa.22028
ec_funded: 1
external_id:
arxiv:
- '1912.04100'
isi:
- '000724652500001'
file:
- access_level: open_access
checksum: 8346bc2642afb4ccb7f38979f41df5d9
content_type: application/pdf
creator: dernst
date_created: 2023-10-04T09:21:48Z
date_updated: 2023-10-04T09:21:48Z
file_id: '14388'
file_name: 2023_CommPureMathematics_Cipolloni.pdf
file_size: 803440
relation: main_file
success: 1
file_date_updated: 2023-10-04T09:21:48Z
has_accepted_license: '1'
intvolume: ' 76'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 946-1034
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Communications on Pure and Applied Mathematics
publication_identifier:
eissn:
- 1097-0312
issn:
- 0010-3640
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Central limit theorem for linear eigenvalue statistics of non-Hermitian random
matrices
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 76
year: '2023'
...
---
_id: '10550'
abstract:
- lang: eng
text: The global existence of renormalised solutions and convergence to equilibrium
for reaction-diffusion systems with non-linear diffusion are investigated. The
system is assumed to have quasi-positive non-linearities and to satisfy an entropy
inequality. The difficulties in establishing global renormalised solutions caused
by possibly degenerate diffusion are overcome by introducing a new class of weighted
truncation functions. By means of the obtained global renormalised solutions,
we study the large-time behaviour of complex balanced systems arising from chemical
reaction network theory with non-linear diffusion. When the reaction network does
not admit boundary equilibria, the complex balanced equilibrium is shown, by using
the entropy method, to exponentially attract all renormalised solutions in the
same compatibility class. This convergence extends even to a range of non-linear
diffusion, where global existence is an open problem, yet we are able to show
that solutions to approximate systems converge exponentially to equilibrium uniformly
in the regularisation parameter.
acknowledgement: "We thank the referees for their valuable comments and suggestions.
A major part of this work was carried out when B. Q. Tang visited the Institute
of Science and Technology Austria (ISTA). The hospitality of ISTA is greatly acknowledged.
This work was partially supported by NAWI Graz.\r\nOpen access funding provided
by University of Graz."
article_number: '66'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Klemens
full_name: Fellner, Klemens
last_name: Fellner
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Michael
full_name: Kniely, Michael
id: 2CA2C08C-F248-11E8-B48F-1D18A9856A87
last_name: Kniely
orcid: 0000-0001-5645-4333
- first_name: Bao Quoc
full_name: Tang, Bao Quoc
last_name: Tang
citation:
ama: Fellner K, Fischer JL, Kniely M, Tang BQ. Global renormalised solutions and
equilibration of reaction-diffusion systems with non-linear diffusion. Journal
of Nonlinear Science. 2023;33. doi:10.1007/s00332-023-09926-w
apa: Fellner, K., Fischer, J. L., Kniely, M., & Tang, B. Q. (2023). Global renormalised
solutions and equilibration of reaction-diffusion systems with non-linear diffusion.
Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-09926-w
chicago: Fellner, Klemens, Julian L Fischer, Michael Kniely, and Bao Quoc Tang.
“Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems
with Non-Linear Diffusion.” Journal of Nonlinear Science. Springer Nature,
2023. https://doi.org/10.1007/s00332-023-09926-w.
ieee: K. Fellner, J. L. Fischer, M. Kniely, and B. Q. Tang, “Global renormalised
solutions and equilibration of reaction-diffusion systems with non-linear diffusion,”
Journal of Nonlinear Science, vol. 33. Springer Nature, 2023.
ista: Fellner K, Fischer JL, Kniely M, Tang BQ. 2023. Global renormalised solutions
and equilibration of reaction-diffusion systems with non-linear diffusion. Journal
of Nonlinear Science. 33, 66.
mla: Fellner, Klemens, et al. “Global Renormalised Solutions and Equilibration of
Reaction-Diffusion Systems with Non-Linear Diffusion.” Journal of Nonlinear
Science, vol. 33, 66, Springer Nature, 2023, doi:10.1007/s00332-023-09926-w.
short: K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science
33 (2023).
date_created: 2021-12-16T12:15:35Z
date_published: 2023-06-07T00:00:00Z
date_updated: 2023-08-01T14:40:33Z
day: '07'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00332-023-09926-w
external_id:
arxiv:
- '2109.12019'
isi:
- '001002343400002'
file:
- access_level: open_access
checksum: f3f0f0886098e31c81116cff8183750b
content_type: application/pdf
creator: dernst
date_created: 2023-06-19T07:33:53Z
date_updated: 2023-06-19T07:33:53Z
file_id: '13149'
file_name: 2023_JourNonlinearScience_Fellner.pdf
file_size: 742315
relation: main_file
success: 1
file_date_updated: 2023-06-19T07:33:53Z
has_accepted_license: '1'
intvolume: ' 33'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Journal of Nonlinear Science
publication_identifier:
eissn:
- 1432-1467
issn:
- 0938-8974
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Global renormalised solutions and equilibration of reaction-diffusion systems
with non-linear diffusion
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: 33
year: '2023'
...
---
_id: '10551'
abstract:
- lang: eng
text: 'The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of
fluctuating hydrodynamics; it has been proposed in the physics literature to describe
the fluctuations of the density of N independent diffusing particles in the regime
of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation
presents a substantial challenge for both its analysis and its rigorous mathematical
justification. Besides being non-renormalisable by the theory of regularity structures
by Hairer et al., it has recently been shown to not even admit nontrivial martingale
solutions. In the present work, we give a rigorous and fully quantitative justification
of the Dean–Kawasaki equation by considering the natural regularisation provided
by standard numerical discretisations: We show that structure-preserving discretisations
of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting
diffusing particles to arbitrary order in N−1 (in suitable weak metrics). In
other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate
and efficient numerical simulations of the density fluctuations of independent
diffusing particles.'
acknowledgement: "We thank the anonymous referee for his/her careful reading of the
manuscript and valuable suggestions. FC gratefully acknowledges funding from the
Austrian Science Fund (FWF) through the project F65, and from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science
Fund (FWF)."
article_number: '76'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- 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: Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density
fluctuations in systems of diffusing particles. Archive for Rational Mechanics
and Analysis. 2023;247(5). doi:10.1007/s00205-023-01903-7
apa: Cornalba, F., & Fischer, J. L. (2023). The Dean-Kawasaki equation and the
structure of density fluctuations in systems of diffusing particles. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01903-7
chicago: Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01903-7.
ieee: F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles,” Archive for Rational
Mechanics and Analysis, vol. 247, no. 5. Springer Nature, 2023.
ista: Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles. Archive for Rational
Mechanics and Analysis. 247(5), 76.
mla: Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature,
2023, doi:10.1007/s00205-023-01903-7.
short: F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247
(2023).
date_created: 2021-12-16T12:16:03Z
date_published: 2023-08-04T00:00:00Z
date_updated: 2024-01-30T12:10:10Z
day: '04'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00205-023-01903-7
ec_funded: 1
external_id:
arxiv:
- '2109.06500'
isi:
- '001043086800001'
file:
- access_level: open_access
checksum: 4529eeff170b6745a461d397ee611b5a
content_type: application/pdf
creator: dernst
date_created: 2024-01-30T12:09:34Z
date_updated: 2024-01-30T12:09:34Z
file_id: '14904'
file_name: 2023_ArchiveRationalMech_Cornalba.pdf
file_size: 1851185
relation: main_file
success: 1
file_date_updated: 2024-01-30T12:09:34Z
has_accepted_license: '1'
intvolume: ' 247'
isi: 1
issue: '5'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Dean-Kawasaki equation and the structure of density fluctuations in systems
of diffusing particles
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: 247
year: '2023'
...
---
_id: '10770'
abstract:
- lang: eng
text: Mathematical models often aim to describe a complicated mechanism in a cohesive
and simple manner. However, reaching perfect balance between being simple enough
or overly simplistic is a challenging task. Frequently, game-theoretic models
have an underlying assumption that players, whenever they choose to execute a
specific action, do so perfectly. In fact, it is rare that action execution perfectly
coincides with intentions of individuals, giving rise to behavioural mistakes.
The concept of incompetence of players was suggested to address this issue in
game-theoretic settings. Under the assumption of incompetence, players have non-zero
probabilities of executing a different strategy from the one they chose, leading
to stochastic outcomes of the interactions. In this article, we survey results
related to the concept of incompetence in classic as well as evolutionary game
theory and provide several new results. We also suggest future extensions of the
model and argue why it is important to take into account behavioural mistakes
when analysing interactions among players in both economic and biological settings.
acknowledgement: "The authors would like to acknowledge stimulating email discussions
with Dr Wayne Lobb of W.A. Lobb LLC on the topic of evolutionary games. We also
thank Dr Thomas Taimre for his input to the material in Sect. 3.\r\nThe authors
would like to acknowledge partial support from the Australian Research Council under
the Discovery grant DP180101602 and support by the European Union’s Horizon 2020
research and innovation program under the Marie Sklodowska-Curie Grant Agreement
#754411."
article_processing_charge: No
article_type: original
author:
- first_name: Thomas
full_name: Graham, Thomas
last_name: Graham
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Jerzy A.
full_name: Filar, Jerzy A.
last_name: Filar
citation:
ama: Graham T, Kleshnina M, Filar JA. Where do mistakes lead? A survey of games
with incompetent players. Dynamic Games and Applications. 2023;13:231-264.
doi:10.1007/s13235-022-00425-3
apa: Graham, T., Kleshnina, M., & Filar, J. A. (2023). Where do mistakes lead?
A survey of games with incompetent players. Dynamic Games and Applications.
Springer Nature. https://doi.org/10.1007/s13235-022-00425-3
chicago: Graham, Thomas, Maria Kleshnina, and Jerzy A. Filar. “Where Do Mistakes
Lead? A Survey of Games with Incompetent Players.” Dynamic Games and Applications.
Springer Nature, 2023. https://doi.org/10.1007/s13235-022-00425-3.
ieee: T. Graham, M. Kleshnina, and J. A. Filar, “Where do mistakes lead? A survey
of games with incompetent players,” Dynamic Games and Applications, vol.
13. Springer Nature, pp. 231–264, 2023.
ista: Graham T, Kleshnina M, Filar JA. 2023. Where do mistakes lead? A survey of
games with incompetent players. Dynamic Games and Applications. 13, 231–264.
mla: Graham, Thomas, et al. “Where Do Mistakes Lead? A Survey of Games with Incompetent
Players.” Dynamic Games and Applications, vol. 13, Springer Nature, 2023,
pp. 231–64, doi:10.1007/s13235-022-00425-3.
short: T. Graham, M. Kleshnina, J.A. Filar, Dynamic Games and Applications 13 (2023)
231–264.
date_created: 2022-02-20T23:01:32Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-10-04T09:24:30Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s13235-022-00425-3
ec_funded: 1
external_id:
isi:
- '000753777100001'
file:
- access_level: open_access
checksum: cd53b07e96f9030ddb348f305e5b58c7
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T08:54:17Z
date_updated: 2022-02-21T08:54:17Z
file_id: '10781'
file_name: 2022_DynamicGamesApplic_Graham.pdf
file_size: 1890512
relation: main_file
success: 1
file_date_updated: 2022-02-21T08:54:17Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 231-264
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Dynamic Games and Applications
publication_identifier:
eissn:
- 2153-0793
issn:
- 2153-0785
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Where do mistakes lead? A survey of games with incompetent players
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: 13
year: '2023'
...
---
_id: '9651'
abstract:
- lang: eng
text: We introduce a hierachy of equivalence relations on the set of separated nets
of a given Euclidean space, indexed by concave increasing functions ϕ:(0,∞)→(0,∞).
Two separated nets are called ϕ-displacement equivalent if, roughly speaking,
there is a bijection between them which, for large radii R, displaces points of
norm at most R by something of order at most ϕ(R). We show that the spectrum of
ϕ-displacement equivalence spans from the established notion of bounded displacement
equivalence, which corresponds to bounded ϕ, to the indiscrete equivalence relation,
coresponding to ϕ(R)∈Ω(R), in which all separated nets are equivalent. In between
the two ends of this spectrum, the notions of ϕ-displacement equivalence are shown
to be pairwise distinct with respect to the asymptotic classes of ϕ(R) for R→∞.
We further undertake a comparison of our notion of ϕ-displacement equivalence
with previously studied relations on separated nets. Particular attention is given
to the interaction of the notions of ϕ-displacement equivalence with that of bilipschitz
equivalence.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). This work was started while both authors were employed at the University
of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35.
It was continued when the first named author was employed at University of Leipzig
and the second named author was employed at Institute of Science and Technology
of Austria, where he was supported by an IST Fellowship.'
article_number: '15'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Michael
full_name: Dymond, Michael
last_name: Dymond
- first_name: Vojtech
full_name: Kaluza, Vojtech
id: 21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E
last_name: Kaluza
orcid: 0000-0002-2512-8698
citation:
ama: Dymond M, Kaluza V. Divergence of separated nets with respect to displacement
equivalence. Geometriae Dedicata. 2023. doi:10.1007/s10711-023-00862-3
apa: Dymond, M., & Kaluza, V. (2023). Divergence of separated nets with respect
to displacement equivalence. Geometriae Dedicata. Springer Nature. https://doi.org/10.1007/s10711-023-00862-3
chicago: Dymond, Michael, and Vojtech Kaluza. “Divergence of Separated Nets with
Respect to Displacement Equivalence.” Geometriae Dedicata. Springer Nature,
2023. https://doi.org/10.1007/s10711-023-00862-3.
ieee: M. Dymond and V. Kaluza, “Divergence of separated nets with respect to displacement
equivalence,” Geometriae Dedicata. Springer Nature, 2023.
ista: Dymond M, Kaluza V. 2023. Divergence of separated nets with respect to displacement
equivalence. Geometriae Dedicata., 15.
mla: Dymond, Michael, and Vojtech Kaluza. “Divergence of Separated Nets with Respect
to Displacement Equivalence.” Geometriae Dedicata, 15, Springer Nature,
2023, doi:10.1007/s10711-023-00862-3.
short: M. Dymond, V. Kaluza, Geometriae Dedicata (2023).
date_created: 2021-07-14T07:01:27Z
date_published: 2023-11-17T00:00:00Z
date_updated: 2024-01-11T13:06:32Z
day: '17'
department:
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doi: 10.1007/s10711-023-00862-3
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title: Divergence of separated nets with respect to displacement equivalence
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2023'
...