---
_id: '8682'
abstract:
- lang: eng
  text: It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous
    for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover,
    for such varieties it follows from a general conjecture of Colliot-Thélène that
    the Brauer--Manin obstruction to the Hasse principle should be the only one, so
    that the Hasse principle is expected to hold. Working over the field of rational
    numbers and ordering Fano hypersurfaces of fixed degree and dimension by height,
    we prove that almost every such hypersurface satisfies the Hasse principle provided
    that the dimension is at least 3. This proves a conjecture of Poonen and Voloch
    in every case except for cubic surfaces.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Pierre Le
  full_name: Boudec, Pierre Le
  last_name: Boudec
- first_name: Will
  full_name: Sawin, Will
  last_name: Sawin
citation:
  ama: Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces.
    <i>Annals of Mathematics</i>. 2023;197(3):1115-1203. doi:<a href="https://doi.org/10.4007/annals.2023.197.3.3">10.4007/annals.2023.197.3.3</a>
  apa: Browning, T. D., Boudec, P. L., &#38; Sawin, W. (2023). The Hasse principle
    for random Fano hypersurfaces. <i>Annals of Mathematics</i>. Princeton University.
    <a href="https://doi.org/10.4007/annals.2023.197.3.3">https://doi.org/10.4007/annals.2023.197.3.3</a>
  chicago: Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle
    for Random Fano Hypersurfaces.” <i>Annals of Mathematics</i>. Princeton University,
    2023. <a href="https://doi.org/10.4007/annals.2023.197.3.3">https://doi.org/10.4007/annals.2023.197.3.3</a>.
  ieee: T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random
    Fano hypersurfaces,” <i>Annals of Mathematics</i>, vol. 197, no. 3. Princeton
    University, pp. 1115–1203, 2023.
  ista: Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano
    hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.
  mla: Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.”
    <i>Annals of Mathematics</i>, vol. 197, no. 3, Princeton University, 2023, pp.
    1115–203, doi:<a href="https://doi.org/10.4007/annals.2023.197.3.3">10.4007/annals.2023.197.3.3</a>.
  short: T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
corr_author: '1'
date_created: 2020-10-19T14:28:50Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2024-10-21T06:01:30Z
day: '01'
department:
- _id: TiBr
doi: 10.4007/annals.2023.197.3.3
external_id:
  arxiv:
  - '2006.02356'
  isi:
  - '000966611000003'
intvolume: '       197'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2006.02356
month: '05'
oa: 1
oa_version: Preprint
page: 1115-1203
publication: Annals of Mathematics
publication_identifier:
  issn:
  - 0003-486X
publication_status: published
publisher: Princeton University
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/when-is-necessary-sufficient/
scopus_import: '1'
status: public
title: The Hasse principle for random Fano hypersurfaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 197
year: '2023'
...
---
_id: '9034'
abstract:
- lang: eng
  text: We determine an asymptotic formula for the number of integral points of bounded
    height on a blow-up of P3 outside certain planes using universal torsors.
acknowledgement: This work was supported by the German Academic Exchange Service.
  Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris
  Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute
  for its hospitality, as well as the anonymous referee for several useful remarks
  and suggestions for improvements.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Florian Alexander
  full_name: Wilsch, Florian Alexander
  id: 560601DA-8D36-11E9-A136-7AC1E5697425
  last_name: Wilsch
  orcid: 0000-0001-7302-8256
citation:
  ama: Wilsch FA. Integral points of bounded height on a log Fano threefold. <i>International
    Mathematics Research Notices</i>. 2023;2023(8):6780-6808. doi:<a href="https://doi.org/10.1093/imrn/rnac048">10.1093/imrn/rnac048</a>
  apa: Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold.
    <i>International Mathematics Research Notices</i>. Oxford University Press. <a
    href="https://doi.org/10.1093/imrn/rnac048">https://doi.org/10.1093/imrn/rnac048</a>
  chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log
    Fano Threefold.” <i>International Mathematics Research Notices</i>. Oxford University
    Press, 2023. <a href="https://doi.org/10.1093/imrn/rnac048">https://doi.org/10.1093/imrn/rnac048</a>.
  ieee: F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,”
    <i>International Mathematics Research Notices</i>, vol. 2023, no. 8. Oxford University
    Press, pp. 6780–6808, 2023.
  ista: Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold.
    International Mathematics Research Notices. 2023(8), 6780–6808.
  mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano
    Threefold.” <i>International Mathematics Research Notices</i>, vol. 2023, no.
    8, Oxford University Press, 2023, pp. 6780–808, doi:<a href="https://doi.org/10.1093/imrn/rnac048">10.1093/imrn/rnac048</a>.
  short: F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
corr_author: '1'
date_created: 2021-01-22T09:31:09Z
date_published: 2023-04-01T00:00:00Z
date_updated: 2025-05-14T11:07:41Z
day: '01'
department:
- _id: TiBr
doi: 10.1093/imrn/rnac048
external_id:
  arxiv:
  - '1901.08503'
  isi:
  - '000773116000001'
intvolume: '      2023'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1901.08503
month: '04'
oa: 1
oa_version: Preprint
page: 6780-6808
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Integral points of bounded height on a log Fano threefold
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2023
year: '2023'
...
---
_id: '9652'
abstract:
- lang: eng
  text: In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated
    nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice.
    We study weaker notions of equivalence of separated nets and demonstrate that
    such notions also give rise to distinct equivalence classes. Put differently,
    we find occurrences of particularly strong divergence of separated nets from the
    integer lattice. Our approach generalises that of Burago and Kleiner and McMullen
    which takes place largely in a continuous setting. Existence of irregular separated
    nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞).
    In the present work we obtain stronger types of non-realisable densities.
acknowledgement: 'This work was done while both authors were employed at the University
  of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35.'
article_processing_charge: No
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. Highly irregular separated nets. <i>Israel Journal of Mathematics</i>.
    2023;253:501-554. doi:<a href="https://doi.org/10.1007/s11856-022-2448-6">10.1007/s11856-022-2448-6</a>
  apa: Dymond, M., &#38; Kaluza, V. (2023). Highly irregular separated nets. <i>Israel
    Journal of Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11856-022-2448-6">https://doi.org/10.1007/s11856-022-2448-6</a>
  chicago: Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.”
    <i>Israel Journal of Mathematics</i>. Springer Nature, 2023. <a href="https://doi.org/10.1007/s11856-022-2448-6">https://doi.org/10.1007/s11856-022-2448-6</a>.
  ieee: M. Dymond and V. Kaluza, “Highly irregular separated nets,” <i>Israel Journal
    of Mathematics</i>, vol. 253. Springer Nature, pp. 501–554, 2023.
  ista: Dymond M, Kaluza V. 2023. Highly irregular separated nets. Israel Journal
    of Mathematics. 253, 501–554.
  mla: Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” <i>Israel
    Journal of Mathematics</i>, vol. 253, Springer Nature, 2023, pp. 501–54, doi:<a
    href="https://doi.org/10.1007/s11856-022-2448-6">10.1007/s11856-022-2448-6</a>.
  short: M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.
date_created: 2021-07-14T07:01:28Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-08-14T11:26:34Z
day: '01'
ddc:
- '515'
- '516'
department:
- _id: UlWa
doi: 10.1007/s11856-022-2448-6
external_id:
  arxiv:
  - '1903.05923'
  isi:
  - '000904950300003'
file:
- access_level: open_access
  checksum: 6fa0a3207dd1d6467c309fd1bcc867d1
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  file_id: '9653'
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  file_size: 900422
  relation: main_file
file_date_updated: 2021-07-14T07:41:50Z
has_accepted_license: '1'
intvolume: '       253'
isi: 1
keyword:
- Lipschitz
- bilipschitz
- bounded displacement
- modulus of continuity
- separated net
- non-realisable density
- Burago--Kleiner construction
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 501-554
publication: Israel Journal of Mathematics
publication_identifier:
  eissn:
  - 1565-8511
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Highly irregular separated nets
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 253
year: '2023'
...
---
_id: '13116'
abstract:
- lang: eng
  text: 'The emergence of large-scale order in self-organized systems relies on local
    interactions between individual components. During bacterial cell division, FtsZ
    -- a prokaryotic homologue of the eukaryotic protein tubulin -- polymerizes into
    treadmilling filaments that further organize into a cytoskeletal ring. In vitro,
    FtsZ filaments can form dynamic chiral assemblies. However, how the active and
    passive properties of individual filaments relate to these large-scale self-organized
    structures remains poorly understood. Here, we connect single filament properties
    with the mesoscopic scale by combining minimal active matter simulations and biochemical
    reconstitution experiments. We show that density and flexibility of active chiral
    filaments define their global order. At intermediate densities, curved, flexible
    filaments organize into chiral rings and polar bands. An effectively nematic organization
    dominates for high densities and for straight, mutant filaments with increased
    rigidity. Our predicted phase diagram captures these features quantitatively,
    demonstrating how the flexibility, density and chirality of active filaments affect
    their collective behaviour. Our findings shed light on the fundamental properties
    of active chiral matter and explain how treadmilling FtsZ filaments organize during
    bacterial cell division. '
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: 'This work was supported by the European Research Council through
  grant ERC 2015-StG-679239 and by the Austrian Science Fund (FWF) StandAlone P34607
  to M.L., B. P.M.  was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM
  collaborative research program. Z.D. has received funding from Doctoral Programme
  of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan
  Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria),
  Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments
  on the manuscript. We are also thankful for the support by the Scientific Service
  Units (SSU) of IST Austria through resources provided by the Imaging and Optics
  Facility (IOF) and the Lab Support Facility (LSF). '
article_processing_charge: No
author:
- first_name: Zuzana
  full_name: Dunajova, Zuzana
  id: 4B39F286-F248-11E8-B48F-1D18A9856A87
  last_name: Dunajova
- first_name: Batirtze
  full_name: Prats Mateu, Batirtze
  id: 299FE892-F248-11E8-B48F-1D18A9856A87
  last_name: Prats Mateu
- first_name: Philipp
  full_name: Radler, Philipp
  id: 40136C2A-F248-11E8-B48F-1D18A9856A87
  last_name: Radler
  orcid: '0000-0001-9198-2182 '
- first_name: Keesiang
  full_name: Lim, Keesiang
  last_name: Lim
- first_name: Dörte
  full_name: Brandis, Dörte
  last_name: Brandis
- first_name: Philipp
  full_name: Velicky, Philipp
  id: 39BDC62C-F248-11E8-B48F-1D18A9856A87
  last_name: Velicky
  orcid: 0000-0002-2340-7431
- 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: Richard W.
  full_name: Wong, Richard W.
  last_name: Wong
- first_name: Jens
  full_name: Elgeti, Jens
  last_name: Elgeti
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Martin
  full_name: Loose, Martin
  id: 462D4284-F248-11E8-B48F-1D18A9856A87
  last_name: Loose
  orcid: 0000-0001-7309-9724
citation:
  ama: Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible
    active filaments. 2023. doi:<a href="https://doi.org/10.15479/AT:ISTA:13116">10.15479/AT:ISTA:13116</a>
  apa: Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P.,
    … Loose, M. (2023). Chiral and nematic phases of flexible active filaments. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:13116">https://doi.org/10.15479/AT:ISTA:13116</a>
  chicago: Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte
    Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of
    Flexible Active Filaments.” Institute of Science and Technology Austria, 2023.
    <a href="https://doi.org/10.15479/AT:ISTA:13116">https://doi.org/10.15479/AT:ISTA:13116</a>.
  ieee: Z. Dunajova <i>et al.</i>, “Chiral and nematic phases of flexible active filaments.”
    Institute of Science and Technology Austria, 2023.
  ista: Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG,
    Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible
    active filaments, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:13116">10.15479/AT:ISTA:13116</a>.
  mla: Dunajova, Zuzana, et al. <i>Chiral and Nematic Phases of Flexible Active Filaments</i>.
    Institute of Science and Technology Austria, 2023, doi:<a href="https://doi.org/10.15479/AT:ISTA:13116">10.15479/AT:ISTA:13116</a>.
  short: Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G.
    Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, (2023).
corr_author: '1'
date_created: 2023-06-02T12:30:40Z
date_published: 2023-07-26T00:00:00Z
date_updated: 2026-03-17T12:02:11Z
day: '26'
ddc:
- '539'
department:
- _id: MaLo
- _id: EdHa
- _id: JoDa
doi: 10.15479/AT:ISTA:13116
ec_funded: 1
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file_date_updated: 2023-08-08T11:17:28Z
has_accepted_license: '1'
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 2595697A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '679239'
  name: Self-Organization of the Bacterial Cell
- _id: fc38323b-9c52-11eb-aca3-ff8afb4a011d
  grant_number: P34607
  name: In vitro reconstitution of bacterial cell division
- _id: 34d75525-11ca-11ed-8bc3-89b6307fee9d
  grant_number: '26360'
  name: Motile active matter models of migrating cells and chiral filaments
publisher: Institute of Science and Technology Austria
related_material:
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  - id: '13314'
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  - id: '21423'
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status: public
title: Chiral and nematic phases of flexible active filaments
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: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '13314'
abstract:
- lang: eng
  text: The emergence of large-scale order in self-organized systems relies on local
    interactions between individual components. During bacterial cell division, FtsZ—a
    prokaryotic homologue of the eukaryotic protein tubulin—polymerizes into treadmilling
    filaments that further organize into a cytoskeletal ring. In vitro, FtsZ filaments
    can form dynamic chiral assemblies. However, how the active and passive properties
    of individual filaments relate to these large-scale self-organized structures
    remains poorly understood. Here we connect single-filament properties with the
    mesoscopic scale by combining minimal active matter simulations and biochemical
    reconstitution experiments. We show that the density and flexibility of active
    chiral filaments define their global order. At intermediate densities, curved,
    flexible filaments organize into chiral rings and polar bands. An effectively
    nematic organization dominates for high densities and for straight, mutant filaments
    with increased rigidity. Our predicted phase diagram quantitatively captures these
    features, demonstrating how the flexibility, density and chirality of the active
    filaments affect their collective behaviour. Our findings shed light on the fundamental
    properties of active chiral matter and explain how treadmilling FtsZ filaments
    organize during bacterial cell division.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: 'This work was supported by the European Research Council through
  grant ERC 2015-StG-679239 and by the Austrian Science Fund (FWF) StandAlone P34607
  to M.L., B. P.M. was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM
  collaborative research program. Z.D. has received funding from Doctoral Programme
  of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan
  Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria),
  Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments
  on the manuscript. We are also thankful for the support by the Scientific Service
  Units (SSU) of IST Austria through resources provided by the Imaging and Optics
  Facility (IOF) and the Lab Support Facility (LSF).'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Zuzana
  full_name: Dunajova, Zuzana
  id: 4B39F286-F248-11E8-B48F-1D18A9856A87
  last_name: Dunajova
- first_name: Batirtze
  full_name: Prats Mateu, Batirtze
  id: 299FE892-F248-11E8-B48F-1D18A9856A87
  last_name: Prats Mateu
- first_name: Philipp
  full_name: Radler, Philipp
  id: 40136C2A-F248-11E8-B48F-1D18A9856A87
  last_name: Radler
  orcid: '0000-0001-9198-2182 '
- first_name: Keesiang
  full_name: Lim, Keesiang
  last_name: Lim
- first_name: Dörte
  full_name: Brandis, Dörte
  id: 21d64d35-f128-11eb-9611-b8bcca7a12fd
  last_name: Brandis
- first_name: Philipp
  full_name: Velicky, Philipp
  id: 39BDC62C-F248-11E8-B48F-1D18A9856A87
  last_name: Velicky
  orcid: 0000-0002-2340-7431
- 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: Richard W.
  full_name: Wong, Richard W.
  last_name: Wong
- first_name: Jens
  full_name: Elgeti, Jens
  last_name: Elgeti
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Martin
  full_name: Loose, Martin
  id: 462D4284-F248-11E8-B48F-1D18A9856A87
  last_name: Loose
  orcid: 0000-0001-7309-9724
citation:
  ama: Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible
    active filaments. <i>Nature Physics</i>. 2023;19:1916-1926. doi:<a href="https://doi.org/10.1038/s41567-023-02218-w">10.1038/s41567-023-02218-w</a>
  apa: Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P.,
    … Loose, M. (2023). Chiral and nematic phases of flexible active filaments. <i>Nature
    Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/s41567-023-02218-w">https://doi.org/10.1038/s41567-023-02218-w</a>
  chicago: Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte
    Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of
    Flexible Active Filaments.” <i>Nature Physics</i>. Springer Nature, 2023. <a href="https://doi.org/10.1038/s41567-023-02218-w">https://doi.org/10.1038/s41567-023-02218-w</a>.
  ieee: Z. Dunajova <i>et al.</i>, “Chiral and nematic phases of flexible active filaments,”
    <i>Nature Physics</i>, vol. 19. Springer Nature, pp. 1916–1926, 2023.
  ista: Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG,
    Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible
    active filaments. Nature Physics. 19, 1916–1926.
  mla: Dunajova, Zuzana, et al. “Chiral and Nematic Phases of Flexible Active Filaments.”
    <i>Nature Physics</i>, vol. 19, Springer Nature, 2023, pp. 1916–26, doi:<a href="https://doi.org/10.1038/s41567-023-02218-w">10.1038/s41567-023-02218-w</a>.
  short: Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G.
    Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, Nature Physics 19 (2023)
    1916–1926.
corr_author: '1'
date_created: 2023-07-27T14:44:45Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2026-03-18T14:11:35Z
day: '01'
ddc:
- '530'
department:
- _id: JoDa
- _id: EdHa
- _id: MaLo
- _id: GradSch
doi: 10.1038/s41567-023-02218-w
ec_funded: 1
external_id:
  isi:
  - '001178645300041'
  pmid:
  - '38075437'
file:
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  checksum: bc7673ca07d37309013a86166577b2f7
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  file_size: 22471673
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has_accepted_license: '1'
intvolume: '        19'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1916-1926
pmid: 1
project:
- _id: 2595697A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '679239'
  name: Self-Organization of the Bacterial Cell
- _id: fc38323b-9c52-11eb-aca3-ff8afb4a011d
  grant_number: P34607
  name: In vitro reconstitution of bacterial cell division
- _id: 34d75525-11ca-11ed-8bc3-89b6307fee9d
  grant_number: '26360'
  name: Motile active matter models of migrating cells and chiral filaments
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '13116'
    relation: research_data
    status: public
  - id: '21423'
    relation: dissertation_contains
    status: public
  - id: '21439'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Chiral and nematic phases of flexible active filaments
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 19
year: '2023'
...
---
_id: '13120'
abstract:
- lang: eng
  text: 'We formalized general (i.e., type-0) grammars using the Lean 3 proof assistant.
    We defined basic notions of rewrite rules and of words derived by a grammar, and
    used grammars to show closure of the class of type-0 languages under four operations:
    union, reversal, concatenation, and the Kleene star. The literature mostly focuses
    on Turing machine arguments, which are possibly more difficult to formalize. For
    the Kleene star, we could not follow the literature and came up with our own grammar-based
    construction.'
acknowledgement: "Jasmin Blanchette: This research has received funding from the Netherlands
  Organization\r\nfor Scientific Research (NWO) under the Vidi program (project No.
  016.Vidi.189.037, Lean Forward).\r\n__\r\nWe thank Vladimir Kolmogorov for making
  this collaboration possible. We\r\nthank Václav Končický for discussing ideas about
  the Kleene star construction. We thank Patrick Johnson, Floris van Doorn, and Damiano
  Testa for their small yet very valuable contributions to our code. We thank Eric
  Wieser for simplifying one of our proofs. We thank Mark Summerfield for suggesting
  textual improvements. We thank the anonymous reviewers for very helpful comments.
  Finally, we thank the Lean community for helping us with various technical issues
  and answering many questions. "
alternative_title:
- LIPIcs
article_number: '15'
article_processing_charge: No
arxiv: 1
author:
- first_name: Martin
  full_name: Dvorak, Martin
  id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
  last_name: Dvorak
  orcid: 0000-0001-5293-214X
- first_name: Jasmin
  full_name: Blanchette, Jasmin
  last_name: Blanchette
citation:
  ama: 'Dvorak M, Blanchette J. Closure properties of general grammars - formally
    verified. In: <i>14th International Conference on Interactive Theorem Proving</i>.
    Vol 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.ITP.2023.15">10.4230/LIPIcs.ITP.2023.15</a>'
  apa: 'Dvorak, M., &#38; Blanchette, J. (2023). Closure properties of general grammars
    - formally verified. In <i>14th International Conference on Interactive Theorem
    Proving</i> (Vol. 268). Bialystok, Poland: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ITP.2023.15">https://doi.org/10.4230/LIPIcs.ITP.2023.15</a>'
  chicago: Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars
    - Formally Verified.” In <i>14th International Conference on Interactive Theorem
    Proving</i>, Vol. 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
    <a href="https://doi.org/10.4230/LIPIcs.ITP.2023.15">https://doi.org/10.4230/LIPIcs.ITP.2023.15</a>.
  ieee: M. Dvorak and J. Blanchette, “Closure properties of general grammars - formally
    verified,” in <i>14th International Conference on Interactive Theorem Proving</i>,
    Bialystok, Poland, 2023, vol. 268.
  ista: 'Dvorak M, Blanchette J. 2023. Closure properties of general grammars - formally
    verified. 14th International Conference on Interactive Theorem Proving. ITP: Interactive
    Theorem Proving, LIPIcs, vol. 268, 15.'
  mla: Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars
    - Formally Verified.” <i>14th International Conference on Interactive Theorem
    Proving</i>, vol. 268, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023, doi:<a href="https://doi.org/10.4230/LIPIcs.ITP.2023.15">10.4230/LIPIcs.ITP.2023.15</a>.
  short: M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive
    Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
conference:
  end_date: 2023-08-04
  location: Bialystok, Poland
  name: 'ITP: Interactive Theorem Proving'
  start_date: 2023-07-31
corr_author: '1'
date_created: 2023-06-05T07:29:05Z
date_published: 2023-07-27T00:00:00Z
date_updated: 2026-03-27T12:36:59Z
day: '27'
ddc:
- '000'
department:
- _id: GradSch
- _id: VlKo
doi: 10.4230/LIPIcs.ITP.2023.15
external_id:
  arxiv:
  - '2302.06420'
  isi:
  - '001515590500015'
file:
- access_level: open_access
  checksum: 773a0197f05b67feaa6cb1e17ec3642d
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-07T11:55:43Z
  date_updated: 2023-08-07T11:55:43Z
  file_id: '13982'
  file_name: 2023_LIPIcS_Dvorak.pdf
  file_size: 715976
  relation: main_file
  success: 1
file_date_updated: 2023-08-07T11:55:43Z
has_accepted_license: '1'
intvolume: '       268'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: 14th International Conference on Interactive Theorem Proving
publication_identifier:
  eissn:
  - 1868-8969
  isbn:
  - '9783959772846'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/madvorak/grammars/tree/publish
  record:
  - id: '21393'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Closure properties of general grammars - formally verified
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: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 268
year: '2023'
...
---
_id: '14466'
abstract:
- lang: eng
  text: The first long-lived turbulent structures observable in planar shear flows
    take the form of localized stripes, inclined with respect to the mean flow direction.
    The dynamics of these stripes is central to transition, and recent studies proposed
    an analogy to directed percolation where the stripes’ proliferation is ultimately
    responsible for the turbulence becoming sustained. In the present study we focus
    on the internal stripe dynamics as well as on the eventual stripe expansion, and
    we compare the underlying mechanisms in pressure- and shear-driven planar flows,
    respectively, plane-Poiseuille and plane-Couette flow. Despite the similarities
    of the overall laminar–turbulence patterns, the stripe proliferation processes
    in the two cases are fundamentally different. Starting from the growth and sustenance
    of individual stripes, we find that in plane-Couette flow new streaks are created
    stochastically throughout the stripe whereas in plane-Poiseuille flow streak creation
    is deterministic and occurs locally at the downstream tip. Because of the up/downstream
    symmetry, Couette stripes, in contrast to Poiseuille stripes, have two weak and
    two strong laminar turbulent interfaces. These differences in symmetry as well
    as in internal growth give rise to two fundamentally different stripe splitting
    mechanisms. In plane-Poiseuille flow splitting is connected to the elongational
    growth of the original stripe, and it results from a break-off/shedding of the
    stripe's tail. In plane-Couette flow splitting follows from a broadening of the
    original stripe and a division along the stripe into two slimmer stripes.
acknowledgement: E.M. acknowledges funding from the ISTplus fellowship programme.
  G.Y. and B.H. acknowledge a grant from the Simons Foundation (662960, BH).
article_number: A21
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Elena
  full_name: Marensi, Elena
  id: 0BE7553A-1004-11EA-B805-18983DDC885E
  last_name: Marensi
  orcid: 0000-0001-7173-4923
- first_name: Gökhan
  full_name: Yalniz, Gökhan
  id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
  last_name: Yalniz
  orcid: 0000-0002-8490-9312
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Marensi E, Yalniz G, Hof B. Dynamics and proliferation of turbulent stripes
    in plane-Poiseuille and plane-Couette flows. <i>Journal of Fluid Mechanics</i>.
    2023;974. doi:<a href="https://doi.org/10.1017/jfm.2023.780">10.1017/jfm.2023.780</a>
  apa: Marensi, E., Yalniz, G., &#38; Hof, B. (2023). Dynamics and proliferation of
    turbulent stripes in plane-Poiseuille and plane-Couette flows. <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2023.780">https://doi.org/10.1017/jfm.2023.780</a>
  chicago: Marensi, Elena, Gökhan Yalniz, and Björn Hof. “Dynamics and Proliferation
    of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” <i>Journal
    of Fluid Mechanics</i>. Cambridge University Press, 2023. <a href="https://doi.org/10.1017/jfm.2023.780">https://doi.org/10.1017/jfm.2023.780</a>.
  ieee: E. Marensi, G. Yalniz, and B. Hof, “Dynamics and proliferation of turbulent
    stripes in plane-Poiseuille and plane-Couette flows,” <i>Journal of Fluid Mechanics</i>,
    vol. 974. Cambridge University Press, 2023.
  ista: Marensi E, Yalniz G, Hof B. 2023. Dynamics and proliferation of turbulent
    stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics.
    974, A21.
  mla: Marensi, Elena, et al. “Dynamics and Proliferation of Turbulent Stripes in
    Plane-Poiseuille and Plane-Couette Flows.” <i>Journal of Fluid Mechanics</i>,
    vol. 974, A21, Cambridge University Press, 2023, doi:<a href="https://doi.org/10.1017/jfm.2023.780">10.1017/jfm.2023.780</a>.
  short: E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023).
corr_author: '1'
date_created: 2023-10-30T09:32:28Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '10'
ddc:
- '530'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1017/jfm.2023.780
external_id:
  arxiv:
  - '2212.12406'
  isi:
  - '001088363700001'
file:
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  checksum: 17c64c1fb0d5f73252364bf98b0b9e1a
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  date_created: 2024-02-15T09:05:21Z
  date_updated: 2024-02-15T09:05:21Z
  file_id: '14996'
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  file_size: 2804641
  relation: main_file
  success: 1
file_date_updated: 2024-02-15T09:05:21Z
has_accepted_license: '1'
intvolume: '       974'
isi: 1
keyword:
- turbulence
- transition to turbulence
- patterns
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
  record:
  - id: '19684'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette
  flows
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: 974
year: '2023'
...
---
_id: '12105'
abstract:
- lang: eng
  text: Data-driven dimensionality reduction methods such as proper orthogonal decomposition
    and dynamic mode decomposition have proven to be useful for exploring complex
    phenomena within fluid dynamics and beyond. A well-known challenge for these techniques
    is posed by the continuous symmetries, e.g. translations and rotations, of the
    system under consideration, as drifts in the data dominate the modal expansions
    without providing an insight into the dynamics of the problem. In the present
    study, we address this issue for fluid flows in rectangular channels by formulating
    a continuous symmetry reduction method that eliminates the translations in the
    streamwise and spanwise directions simultaneously. We demonstrate our method by
    computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows
    of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille
    flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity
    of the invariant solutions with translation symmetries, i.e. travelling waves
    and relative periodic orbits, whereas in the latter, our calculations reveal episodes
    of turbulent time evolution that can be approximated by a low-dimensional linear
    expansion.
acknowledgement: "E.M. acknowledges funding from the ISTplus fellowship programme.
  G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH)."
article_number: A10
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Elena
  full_name: Marensi, Elena
  id: 0BE7553A-1004-11EA-B805-18983DDC885E
  last_name: Marensi
  orcid: 0000-0001-7173-4923
- first_name: Gökhan
  full_name: Yalniz, Gökhan
  id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
  last_name: Yalniz
  orcid: 0000-0002-8490-9312
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
- first_name: Nazmi B
  full_name: Budanur, Nazmi B
  id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
  last_name: Budanur
  orcid: 0000-0003-0423-5010
citation:
  ama: Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition
    of near-wall turbulence. <i>Journal of Fluid Mechanics</i>. 2023;954. doi:<a href="https://doi.org/10.1017/jfm.2022.1001">10.1017/jfm.2022.1001</a>
  apa: Marensi, E., Yalniz, G., Hof, B., &#38; Budanur, N. B. (2023). Symmetry-reduced
    dynamic mode decomposition of near-wall turbulence. <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2022.1001">https://doi.org/10.1017/jfm.2022.1001</a>
  chicago: Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced
    Dynamic Mode Decomposition of near-Wall Turbulence.” <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press, 2023. <a href="https://doi.org/10.1017/jfm.2022.1001">https://doi.org/10.1017/jfm.2022.1001</a>.
  ieee: E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic
    mode decomposition of near-wall turbulence,” <i>Journal of Fluid Mechanics</i>,
    vol. 954. Cambridge University Press, 2023.
  ista: Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode
    decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10.
  mla: Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall
    Turbulence.” <i>Journal of Fluid Mechanics</i>, vol. 954, A10, Cambridge University
    Press, 2023, doi:<a href="https://doi.org/10.1017/jfm.2022.1001">10.1017/jfm.2022.1001</a>.
  short: E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954
    (2023).
corr_author: '1'
date_created: 2023-01-08T23:00:53Z
date_published: 2023-01-10T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '10'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.1001
external_id:
  arxiv:
  - '2101.07516'
  isi:
  - '000903336600001'
file:
- access_level: open_access
  checksum: 9224f987caefe5dd85a70814d3cce65c
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-02T12:34:54Z
  date_updated: 2023-02-02T12:34:54Z
  file_id: '12489'
  file_name: 2023_JourFluidMechanics_Marensi.pdf
  file_size: 1931647
  relation: main_file
  success: 1
file_date_updated: 2023-02-02T12:34:54Z
has_accepted_license: '1'
intvolume: '       954'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
  record:
  - id: '19684'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Symmetry-reduced dynamic mode decomposition of near-wall turbulence
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: 954
year: '2023'
...
---
_id: '13274'
abstract:
- lang: eng
  text: Viscous flows through pipes and channels are steady and ordered until, with
    increasing velocity, the laminar motion catastrophically breaks down and gives
    way to turbulence. How this apparently discontinuous change from low- to high-dimensional
    motion can be rationalized within the framework of the Navier-Stokes equations
    is not well understood. Exploiting geometrical properties of transitional channel
    flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible
    and identify the complete path that reversibly links fully turbulent motion to
    an invariant solution. This precursor of turbulence destabilizes rapidly with
    Re, and the accompanying explosive increase in attractor dimension effectively
    marks the transition between deterministic and de facto stochastic dynamics.
acknowledgement: We thank Baofang Song as well as the developers of Channelflow for
  sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful
  discussions. This work was supported by a grant from the Simons Foundation (662960,
  B. H.).
article_number: '034002'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chaitanya S
  full_name: Paranjape, Chaitanya S
  id: 3D85B7C4-F248-11E8-B48F-1D18A9856A87
  last_name: Paranjape
- first_name: Gökhan
  full_name: Yalniz, Gökhan
  id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
  last_name: Yalniz
  orcid: 0000-0002-8490-9312
- first_name: Yohann
  full_name: Duguet, Yohann
  last_name: Duguet
- first_name: Nazmi B
  full_name: Budanur, Nazmi B
  id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
  last_name: Budanur
  orcid: 0000-0003-0423-5010
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence
    to time-periodic solutions. <i>Physical Review Letters</i>. 2023;131(3). doi:<a
    href="https://doi.org/10.1103/physrevlett.131.034002">10.1103/physrevlett.131.034002</a>
  apa: Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., &#38; Hof, B. (2023).
    Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/physrevlett.131.034002">https://doi.org/10.1103/physrevlett.131.034002</a>
  chicago: Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur,
    and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical
    Review Letters</i>. American Physical Society, 2023. <a href="https://doi.org/10.1103/physrevlett.131.034002">https://doi.org/10.1103/physrevlett.131.034002</a>.
  ieee: C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct
    path from turbulence to time-periodic solutions,” <i>Physical Review Letters</i>,
    vol. 131, no. 3. American Physical Society, 2023.
  ista: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from
    turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.
  mla: Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic
    Solutions.” <i>Physical Review Letters</i>, vol. 131, no. 3, 034002, American
    Physical Society, 2023, doi:<a href="https://doi.org/10.1103/physrevlett.131.034002">10.1103/physrevlett.131.034002</a>.
  short: C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review
    Letters 131 (2023).
corr_author: '1'
date_created: 2023-07-24T09:43:59Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '21'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/physrevlett.131.034002
external_id:
  arxiv:
  - '2306.05098'
  isi:
  - '001052929900004'
  pmid:
  - '37540883'
intvolume: '       131'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2306.05098
month: '07'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '19684'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Direct path from turbulence to time-periodic solutions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 131
year: '2023'
...
---
_id: '12788'
abstract:
- lang: eng
  text: We show that the simplest of existing molecules—closed-shell diatomics not
    interacting with one another—host topological charges when driven by periodic
    far-off-resonant laser pulses. A periodically kicked molecular rotor can be mapped
    onto a “crystalline” lattice in angular momentum space. This allows us to define
    quasimomenta and the band structure in the Floquet representation, by analogy
    with the Bloch waves of solid-state physics. Applying laser pulses spaced by 1/3
    of the molecular rotational period creates a lattice with three atoms per unit
    cell with staggered hopping. Within the synthetic dimension of the laser strength,
    we discover Dirac cones with topological charges. These Dirac cones, topologically
    protected by reflection and time-reversal symmetry, are reminiscent of (although
    not equivalent to) that seen in graphene. They—and the corresponding edge states—are
    broadly tunable by adjusting the laser strength and can be observed in present-day
    experiments by measuring molecular alignment and populations of rotational levels.
    This paves the way to study controllable topological physics in gas-phase experiments
    with small molecules as well as to classify dynamical molecular states by their
    topological invariants.
acknowledgement: M. L. acknowledges support by the European Research Council (ERC)
  Starting Grant No. 801770 (ANGULON).
article_number: '103202'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Volker
  full_name: Karle, Volker
  id: D7C012AE-D7ED-11E9-95E8-1EC5E5697425
  last_name: Karle
  orcid: 0000-0002-6963-0129
- first_name: Areg
  full_name: Ghazaryan, Areg
  id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
  last_name: Ghazaryan
  orcid: 0000-0001-9666-3543
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
citation:
  ama: Karle V, Ghazaryan A, Lemeshko M. Topological charges of periodically kicked
    molecules. <i>Physical Review Letters</i>. 2023;130(10). doi:<a href="https://doi.org/10.1103/PhysRevLett.130.103202">10.1103/PhysRevLett.130.103202</a>
  apa: Karle, V., Ghazaryan, A., &#38; Lemeshko, M. (2023). Topological charges of
    periodically kicked molecules. <i>Physical Review Letters</i>. American Physical
    Society. <a href="https://doi.org/10.1103/PhysRevLett.130.103202">https://doi.org/10.1103/PhysRevLett.130.103202</a>
  chicago: Karle, Volker, Areg Ghazaryan, and Mikhail Lemeshko. “Topological Charges
    of Periodically Kicked Molecules.” <i>Physical Review Letters</i>. American Physical
    Society, 2023. <a href="https://doi.org/10.1103/PhysRevLett.130.103202">https://doi.org/10.1103/PhysRevLett.130.103202</a>.
  ieee: V. Karle, A. Ghazaryan, and M. Lemeshko, “Topological charges of periodically
    kicked molecules,” <i>Physical Review Letters</i>, vol. 130, no. 10. American
    Physical Society, 2023.
  ista: Karle V, Ghazaryan A, Lemeshko M. 2023. Topological charges of periodically
    kicked molecules. Physical Review Letters. 130(10), 103202.
  mla: Karle, Volker, et al. “Topological Charges of Periodically Kicked Molecules.”
    <i>Physical Review Letters</i>, vol. 130, no. 10, 103202, American Physical Society,
    2023, doi:<a href="https://doi.org/10.1103/PhysRevLett.130.103202">10.1103/PhysRevLett.130.103202</a>.
  short: V. Karle, A. Ghazaryan, M. Lemeshko, Physical Review Letters 130 (2023).
corr_author: '1'
date_created: 2023-04-02T22:01:10Z
date_published: 2023-03-10T00:00:00Z
date_updated: 2026-04-07T11:48:53Z
day: '10'
department:
- _id: MiLe
doi: 10.1103/PhysRevLett.130.103202
ec_funded: 1
external_id:
  arxiv:
  - '2206.07067'
  isi:
  - '000957635500003'
  pmid:
  - '36962042'
intvolume: '       130'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2206.07067
month: '03'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - description: News on the ISTA website
    relation: press_release
    url: https://ista.ac.at/en/news/topology-of-rotating-molecules/
  record:
  - id: '19393'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Topological charges of periodically kicked molecules
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 130
year: '2023'
...
---
_id: '12787'
abstract:
- lang: eng
  text: "Populations evolve in spatially heterogeneous environments. While a certain
    trait might bring a fitness advantage in some patch of the environment, a different
    trait might be advantageous in another patch. Here, we study the Moran birth–death
    process with two types of individuals in a population stretched across two patches
    of size N, each patch favouring one of the two types. We show that the long-term
    fate of such populations crucially depends on the migration rate μ\r\n between
    the patches. To classify the possible fates, we use the distinction between polynomial
    (short) and exponential (long) timescales. We show that when μ is high then one
    of the two types fixates on the whole population after a number of steps that
    is only polynomial in N. By contrast, when μ is low then each type holds majority
    in the patch where it is favoured for a number of steps that is at least exponential
    in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
    those two scenarios, thereby exactly delineating the situations that support long-term
    coexistence of the two types. We also discuss the case of various cycle graphs
    and we present computer simulations that perfectly match our analytical results."
acknowledgement: J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)
article_number: '20220685'
article_processing_charge: No
article_type: original
author:
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Kamran
  full_name: Kaveh, Kamran
  last_name: Kaveh
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran
    process with environmental heterogeneity. <i>Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences</i>. 2023;479(2271). doi:<a
    href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>'
  apa: 'Svoboda, J., Tkadlec, J., Kaveh, K., &#38; Chatterjee, K. (2023). Coexistence
    times in the Moran process with environmental heterogeneity. <i>Proceedings of
    the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>'
  chicago: 'Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee.
    “Coexistence Times in the Moran Process with Environmental Heterogeneity.” <i>Proceedings
    of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society, 2023. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>.'
  ieee: 'J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in
    the Moran process with environmental heterogeneity,” <i>Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 479, no.
    2271. The Royal Society, 2023.'
  ista: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the
    Moran process with environmental heterogeneity. Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.'
  mla: 'Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental
    Heterogeneity.” <i>Proceedings of the Royal Society A: Mathematical, Physical
    and Engineering Sciences</i>, vol. 479, no. 2271, 20220685, The Royal Society,
    2023, doi:<a href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>.'
  short: 'J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences 479 (2023).'
date_created: 2023-04-02T22:01:09Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2026-04-07T11:49:11Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2022.0685
ec_funded: 1
external_id:
  isi:
  - '000957125500002'
file:
- access_level: open_access
  checksum: 13953d349fbefcb5d21ccc6b303297eb
  content_type: application/pdf
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  date_created: 2023-04-03T06:25:29Z
  date_updated: 2023-04-03T06:25:29Z
  file_id: '12796'
  file_name: 2023_ProceedingsRoyalSocietyA_Svoboda.pdf
  file_size: 827784
  relation: main_file
  success: 1
file_date_updated: 2023-04-03T06:25:29Z
has_accepted_license: '1'
intvolume: '       479'
isi: 1
issue: '2271'
language:
- iso: eng
month: '03'
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'
publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
  Sciences'
publication_identifier:
  eissn:
  - 1471-2946
  issn:
  - 1364-5021
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
related_material:
  link:
  - relation: research_data
    url: https://doi.org/10.6084/m9.figshare.21261771.v1
  record:
  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Coexistence times in the Moran process with environmental heterogeneity
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: 479
year: '2023'
...
---
_id: '13049'
abstract:
- lang: eng
  text: "We propose a computational design approach for covering a surface with individually
    addressable RGB LEDs, effectively forming a low-resolution surface screen. To
    achieve a low-cost and scalable approach, we propose creating designs from flat
    PCB panels bent in-place along the surface of a 3D printed core. Working with
    standard rigid PCBs enables the use of\r\nestablished PCB manufacturing services,
    allowing the fabrication of designs with several hundred LEDs. \r\nOur approach
    optimizes the PCB geometry for folding, and then jointly optimizes the LED packing,
    circuit and routing, solving a challenging layout problem under strict manufacturing
    requirements. Unlike paper, PCBs cannot bend beyond a certain point without breaking.
    Therefore, we introduce parametric cut patterns acting as hinges, designed to
    allow bending while remaining compact. To tackle the joint optimization of placement,
    circuit and routing, we propose a specialized algorithm that splits the global
    problem into one sub-problem per triangle, which is then individually solved.\r\nOur
    technique generates PCB blueprints in a completely automated way. After being
    fabricated by a PCB manufacturing service, the boards are bent and glued by the
    user onto the 3D printed support. We demonstrate our technique on a range of physical
    models and virtual examples, creating intricate surface light patterns from hundreds
    of LEDs."
acknowledged_ssus:
- _id: M-Shop
acknowledgement: We thank the reviewers for the valuable feedback. We also thank the
  Miba Machine Shop at ISTA, PCBWay, and PragoBoard for helping us with fabrication
  and assembly. This project was supported by the European Research Council (ERC)
  under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
  No. 715767 – MATERIALIZABLE).
article_number: '142'
article_processing_charge: No
article_type: original
author:
- first_name: Marco
  full_name: Freire, Marco
  last_name: Freire
- first_name: Manas
  full_name: Bhargava, Manas
  id: FF8FA64C-AA6A-11E9-99AD-50D4E5697425
  last_name: Bhargava
  orcid: 0009-0007-6138-6890
- first_name: Camille
  full_name: Schreck, Camille
  id: 2B14B676-F248-11E8-B48F-1D18A9856A87
  last_name: Schreck
- first_name: Pierre-Alexandre
  full_name: Hugron, Pierre-Alexandre
  last_name: Hugron
- first_name: Bernd
  full_name: Bickel, Bernd
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Sylvain
  full_name: Lefebvre, Sylvain
  last_name: Lefebvre
citation:
  ama: 'Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. PCBend:
    Light up your 3D shapes with foldable circuit boards. <i>Transactions on Graphics</i>.
    2023;42(4). doi:<a href="https://doi.org/10.1145/3592411">10.1145/3592411</a>'
  apa: 'Freire, M., Bhargava, M., Schreck, C., Hugron, P.-A., Bickel, B., &#38; Lefebvre,
    S. (2023). PCBend: Light up your 3D shapes with foldable circuit boards. <i>Transactions
    on Graphics</i>. Los Angeles, CA, United States: Association for Computing Machinery.
    <a href="https://doi.org/10.1145/3592411">https://doi.org/10.1145/3592411</a>'
  chicago: 'Freire, Marco, Manas Bhargava, Camille Schreck, Pierre-Alexandre Hugron,
    Bernd Bickel, and Sylvain Lefebvre. “PCBend: Light up Your 3D Shapes with Foldable
    Circuit Boards.” <i>Transactions on Graphics</i>. Association for Computing Machinery,
    2023. <a href="https://doi.org/10.1145/3592411">https://doi.org/10.1145/3592411</a>.'
  ieee: 'M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, and S. Lefebvre,
    “PCBend: Light up your 3D shapes with foldable circuit boards,” <i>Transactions
    on Graphics</i>, vol. 42, no. 4. Association for Computing Machinery, 2023.'
  ista: 'Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. 2023.
    PCBend: Light up your 3D shapes with foldable circuit boards. Transactions on
    Graphics. 42(4), 142.'
  mla: 'Freire, Marco, et al. “PCBend: Light up Your 3D Shapes with Foldable Circuit
    Boards.” <i>Transactions on Graphics</i>, vol. 42, no. 4, 142, Association for
    Computing Machinery, 2023, doi:<a href="https://doi.org/10.1145/3592411">10.1145/3592411</a>.'
  short: M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, S. Lefebvre,
    Transactions on Graphics 42 (2023).
conference:
  end_date: 2023-08-10
  location: Los Angeles, CA, United States
  name: 'SIGGRAPH: Computer Graphics and Interactive Techniques Conference'
  start_date: 2023-08-06
corr_author: '1'
date_created: 2023-05-22T08:37:04Z
date_published: 2023-07-26T00:00:00Z
date_updated: 2026-04-07T11:50:09Z
day: '26'
ddc:
- '006'
department:
- _id: GradSch
- _id: BeBi
doi: 10.1145/3592411
ec_funded: 1
external_id:
  isi:
  - '001044671300108'
file:
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  creator: dernst
  date_created: 2023-06-19T11:02:23Z
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  relation: main_file
  success: 1
file_date_updated: 2023-06-20T12:20:51Z
has_accepted_license: '1'
intvolume: '        42'
isi: 1
issue: '4'
keyword:
- PCB design and layout
- Mesh geometry models
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715767'
  name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
    Modeling'
publication: Transactions on Graphics
publication_identifier:
  eissn:
  - 1557-7368
  issn:
  - 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
  record:
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'PCBend: Light up your 3D shapes with foldable circuit boards'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 42
year: '2023'
...
---
OA_place: repository
_id: '15039'
abstract:
- lang: eng
  text: 'A crucial property for achieving secure, trustworthy and interpretable deep
    learning systems is their robustness: small changes to a system''s inputs should
    not result in large changes to its outputs. Mathematically, this means one strives
    for networks with a small Lipschitz constant. Several recent works have focused
    on how to construct such Lipschitz networks, typically by imposing constraints
    on the weight matrices. In this work, we study an orthogonal aspect, namely the
    role of the activation function. We show that commonly used activation functions,
    such as MaxMin, as well as all piece-wise linear ones with two segments unnecessarily
    restrict the class of representable functions, even in the simplest one-dimensional
    setting. We furthermore introduce the new N-activation function that is provably
    more expressive than currently popular activation functions. We provide code at
    this https URL.'
article_number: '2311.06103'
article_processing_charge: No
arxiv: 1
author:
- first_name: Bernd
  full_name: Prach, Bernd
  id: 2D561D42-C427-11E9-89B4-9C1AE6697425
  last_name: Prach
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations.
    <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2311.06103">10.48550/ARXIV.2311.06103</a>
  apa: Prach, B., &#38; Lampert, C. (n.d.). 1-Lipschitz neural networks are more expressive
    with N-activations. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2311.06103">https://doi.org/10.48550/ARXIV.2311.06103</a>
  chicago: Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More
    Expressive with N-Activations.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2311.06103">https://doi.org/10.48550/ARXIV.2311.06103</a>.
  ieee: B. Prach and C. Lampert, “1-Lipschitz neural networks are more expressive
    with N-activations,” <i>arXiv</i>. .
  ista: Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations.
    arXiv, 2311.06103.
  mla: Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More
    Expressive with N-Activations.” <i>ArXiv</i>, 2311.06103, doi:<a href="https://doi.org/10.48550/ARXIV.2311.06103">10.48550/ARXIV.2311.06103</a>.
  short: B. Prach, C. Lampert, ArXiv (n.d.).
corr_author: '1'
date_created: 2024-02-28T17:59:32Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2026-04-07T11:49:51Z
day: '10'
department:
- _id: GradSch
- _id: ChLa
doi: 10.48550/ARXIV.2311.06103
external_id:
  arxiv:
  - '2311.06103'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2311.06103
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
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  - id: '19759'
    relation: dissertation_contains
    status: public
status: public
title: 1-Lipschitz neural networks are more expressive with N-activations
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: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '13212'
abstract:
- lang: eng
  text: Auxin is the major plant hormone regulating growth and development (Friml,
    2022). Forward genetic approaches in the model plant Arabidopsis thaliana have
    identified major components of auxin signalling and established the canonical
    mechanism mediating transcriptional and thus developmental reprogramming. In this
    textbook view, TRANSPORT INHIBITOR RESPONSE 1 (TIR1)/AUXIN-SIGNALING F-BOX (AFBs)
    are auxin receptors, which act as F-box subunits determining the substrate specificity
    of the Skp1-Cullin1-F box protein (SCF) type E3 ubiquitin ligase complex. Auxin
    acts as a “molecular glue” increasing the affinity between TIR1/AFBs and the Aux/IAA
    repressors. Subsequently, Aux/IAAs are ubiquitinated and degraded, thus releasing
    auxin transcription factors from their repression making them free to mediate
    transcription of auxin response genes (Yu et al., 2022). Nonetheless, accumulating
    evidence suggests existence of rapid, non-transcriptional responses downstream
    of TIR1/AFBs such as auxin-induced cytosolic calcium (Ca2+) transients, plasma
    membrane depolarization and apoplast alkalinisation, all converging on the process
    of root growth inhibition and root gravitropism (Li et al., 2022). Particularly,
    these rapid responses are mostly contributed by predominantly cytosolic AFB1,
    while the long-term growth responses are mediated by mainly nuclear TIR1 and AFB2-AFB5
    (Li et al., 2021; Prigge et al., 2020; Serre et al., 2021). How AFB1 conducts
    auxin-triggered rapid responses and how it is different from TIR1 and AFB2-AFB5
    remains elusive. Here, we compare the roles of TIR1 and AFB1 in transcriptional
    and rapid responses by modulating their subcellular localization in Arabidopsis
    and by testing their ability to mediate transcriptional responses when part of
    the minimal auxin circuit reconstituted in yeast.
acknowledged_ssus:
- _id: LifeSc
- _id: Bio
acknowledgement: We thank all the authors for sharing the published materials. This
  research was supported by the Lab Support Facility and the Imaging and Optics Facility
  of ISTA. We thank Lukáš Fiedler (ISTA) for critical reading of the manuscript. This
  project was funded by the European Research Council Advanced Grant (ETAP-742985).
article_processing_charge: Yes (via OA deal)
article_type: letter_note
author:
- first_name: Huihuang
  full_name: Chen, Huihuang
  id: 83c96512-15b2-11ec-abd3-b7eede36184f
  last_name: Chen
- first_name: Lanxin
  full_name: Li, Lanxin
  id: 367EF8FA-F248-11E8-B48F-1D18A9856A87
  last_name: Li
  orcid: 0000-0002-5607-272X
- first_name: Minxia
  full_name: Zou, Minxia
  id: 5c243f41-03f3-11ec-841c-96faf48a7ef9
  last_name: Zou
- first_name: Linlin
  full_name: Qi, Linlin
  id: 44B04502-A9ED-11E9-B6FC-583AE6697425
  last_name: Qi
  orcid: 0000-0001-5187-8401
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Chen H, Li L, Zou M, Qi L, Friml J. Distinct functions of TIR1 and AFB1 receptors
    in auxin signalling. <i>Molecular Plant</i>. 2023;16(7):1117-1119. doi:<a href="https://doi.org/10.1016/j.molp.2023.06.007">10.1016/j.molp.2023.06.007</a>
  apa: Chen, H., Li, L., Zou, M., Qi, L., &#38; Friml, J. (2023). Distinct functions
    of TIR1 and AFB1 receptors in auxin signalling. <i>Molecular Plant</i>. Elsevier
    . <a href="https://doi.org/10.1016/j.molp.2023.06.007">https://doi.org/10.1016/j.molp.2023.06.007</a>
  chicago: Chen, Huihuang, Lanxin Li, Minxia Zou, Linlin Qi, and Jiří Friml. “Distinct
    Functions of TIR1 and AFB1 Receptors in Auxin Signalling.” <i>Molecular Plant</i>.
    Elsevier , 2023. <a href="https://doi.org/10.1016/j.molp.2023.06.007">https://doi.org/10.1016/j.molp.2023.06.007</a>.
  ieee: H. Chen, L. Li, M. Zou, L. Qi, and J. Friml, “Distinct functions of TIR1 and
    AFB1 receptors in auxin signalling.,” <i>Molecular Plant</i>, vol. 16, no. 7.
    Elsevier , pp. 1117–1119, 2023.
  ista: Chen H, Li L, Zou M, Qi L, Friml J. 2023. Distinct functions of TIR1 and AFB1
    receptors in auxin signalling. Molecular Plant. 16(7), 1117–1119.
  mla: Chen, Huihuang, et al. “Distinct Functions of TIR1 and AFB1 Receptors in Auxin
    Signalling.” <i>Molecular Plant</i>, vol. 16, no. 7, Elsevier , 2023, pp. 1117–19,
    doi:<a href="https://doi.org/10.1016/j.molp.2023.06.007">10.1016/j.molp.2023.06.007</a>.
  short: H. Chen, L. Li, M. Zou, L. Qi, J. Friml, Molecular Plant 16 (2023) 1117–1119.
corr_author: '1'
date_created: 2023-07-12T07:32:46Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2026-04-07T11:51:24Z
day: '01'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1016/j.molp.2023.06.007
ec_funded: 1
external_id:
  isi:
  - '001044410900001'
  pmid:
  - '37393433'
file:
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  creator: dernst
  date_created: 2024-01-29T10:37:05Z
  date_updated: 2024-01-29T10:37:05Z
  file_id: '14894'
  file_name: 2023_MolecularPlant_Chen.pdf
  file_size: 1000871
  relation: main_file
  success: 1
file_date_updated: 2024-01-29T10:37:05Z
has_accepted_license: '1'
intvolume: '        16'
isi: 1
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 1117-1119
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '742985'
  name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Molecular Plant
publication_identifier:
  eissn:
  - 1674-2052
  issn:
  - 1752-9867
publication_status: published
publisher: 'Elsevier '
quality_controlled: '1'
related_material:
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Distinct functions of TIR1 and AFB1 receptors in auxin signalling.
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: 16
year: '2023'
...
---
_id: '13221'
abstract:
- lang: eng
  text: The safety-liveness dichotomy is a fundamental concept in formal languages
    which plays a key role in verification. Recently, this dichotomy has been lifted
    to quantitative properties, which are arbitrary functions from infinite words
    to partially-ordered domains. We look into harnessing the dichotomy for the specific
    classes of quantitative properties expressed by quantitative automata. These automata
    contain finitely many states and rational-valued transition weights, and their
    common value functions Inf, Sup, LimInf, LimSup, LimInfAvg, LimSupAvg, and DSum
    map infinite words into the totallyordered domain of real numbers. In this automata-theoretic
    setting, we establish a connection between quantitative safety and topological
    continuity and provide an alternative characterization of quantitative safety
    and liveness in terms of their boolean counterparts. For all common value functions,
    we show how the safety closure of a quantitative automaton can be constructed
    in PTime, and we provide PSpace-complete checks of whether a given quantitative
    automaton is safe or live, with the exception of LimInfAvg and LimSupAvg automata,
    for which the safety check is in ExpSpace. Moreover, for deterministic Sup, LimInf,
    and LimSup automata, we give PTime decompositions into safe and live automata.
    These decompositions enable the separation of techniques for safety and liveness
    verification for quantitative specifications.
acknowledgement: We thank Christof Löding for pointing us to some results on PSpace-hardess
  of universality problems and the anonymous reviewers for their helpful comments.
  This work was supported in part by the ERC-2020-AdG 101020093 and the Israel Science
  Foundation grant 2410/22.
alternative_title:
- LIPIcs
article_number: '17'
article_processing_charge: No
arxiv: 1
author:
- first_name: Udi
  full_name: Boker, Udi
  id: 31E297B6-F248-11E8-B48F-1D18A9856A87
  last_name: Boker
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Nicolas Adrien
  full_name: Mazzocchi, Nicolas Adrien
  id: b26baa86-3308-11ec-87b0-8990f34baa85
  last_name: Mazzocchi
- first_name: Naci E
  full_name: Sarac, Naci E
  id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425
  last_name: Sarac
citation:
  ama: 'Boker U, Henzinger TA, Mazzocchi NA, Sarac NE. Safety and liveness of quantitative
    automata. In: <i>34th International Conference on Concurrency Theory</i>. Vol
    279. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2023.17">10.4230/LIPIcs.CONCUR.2023.17</a>'
  apa: 'Boker, U., Henzinger, T. A., Mazzocchi, N. A., &#38; Sarac, N. E. (2023).
    Safety and liveness of quantitative automata. In <i>34th International Conference
    on Concurrency Theory</i> (Vol. 279). Antwerp, Belgium: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2023.17">https://doi.org/10.4230/LIPIcs.CONCUR.2023.17</a>'
  chicago: Boker, Udi, Thomas A Henzinger, Nicolas Adrien Mazzocchi, and Naci E Sarac.
    “Safety and Liveness of Quantitative Automata.” In <i>34th International Conference
    on Concurrency Theory</i>, Vol. 279. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2023.17">https://doi.org/10.4230/LIPIcs.CONCUR.2023.17</a>.
  ieee: U. Boker, T. A. Henzinger, N. A. Mazzocchi, and N. E. Sarac, “Safety and liveness
    of quantitative automata,” in <i>34th International Conference on Concurrency
    Theory</i>, Antwerp, Belgium, 2023, vol. 279.
  ista: 'Boker U, Henzinger TA, Mazzocchi NA, Sarac NE. 2023. Safety and liveness
    of quantitative automata. 34th International Conference on Concurrency Theory.
    CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 279, 17.'
  mla: Boker, Udi, et al. “Safety and Liveness of Quantitative Automata.” <i>34th
    International Conference on Concurrency Theory</i>, vol. 279, 17, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2023, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2023.17">10.4230/LIPIcs.CONCUR.2023.17</a>.
  short: U. Boker, T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 34th International
    Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023.
conference:
  end_date: 2023-09-23
  location: Antwerp, Belgium
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2023-09-18
corr_author: '1'
date_created: 2023-07-14T10:00:15Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2026-04-07T12:02:57Z
day: '01'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2023.17
ec_funded: 1
external_id:
  arxiv:
  - '2307.06016'
  isi:
  - '001570542500017'
file:
- access_level: open_access
  checksum: d40e57a04448ea5c77d7e1cfb9590a81
  content_type: application/pdf
  creator: esarac
  date_created: 2023-07-14T12:03:48Z
  date_updated: 2023-07-14T12:03:48Z
  file_id: '13224'
  file_name: CONCUR23.pdf
  file_size: 755529
  relation: main_file
  success: 1
file_date_updated: 2023-07-14T12:03:48Z
has_accepted_license: '1'
intvolume: '       279'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 34th International Conference on Concurrency Theory
publication_identifier:
  eissn:
  - 1868-8969
  isbn:
  - '9783959772990'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  record:
  - id: '20342'
    relation: later_version
    status: public
  - id: '20147'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Safety and liveness of quantitative automata
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: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 279
year: '2023'
...
---
_id: '13143'
abstract:
- lang: eng
  text: "GIMPS and PrimeGrid are large-scale distributed projects dedicated to searching
    giant prime numbers, usually of special forms like Mersenne and Proth primes.
    The numbers in the current search-space are millions of digits large and the participating
    volunteers need to run resource-consuming primality tests. Once a candidate prime
    N has been found, the only way for another party to independently verify the primality
    of N used to be by repeating the expensive primality test. To avoid the need for
    second recomputation of each primality test, these projects have recently adopted
    certifying mechanisms that enable efficient verification of performed tests. However,
    the mechanisms presently in place only detect benign errors and there is no guarantee
    against adversarial behavior: a malicious volunteer can mislead the project to
    reject a giant prime as being non-prime.\r\nIn this paper, we propose a practical,
    cryptographically-sound mechanism for certifying the non-primality of Proth numbers.
    That is, a volunteer can – parallel to running the primality test for N – generate
    an efficiently verifiable proof at a little extra cost certifying that N is not
    prime. The interactive protocol has statistical soundness and can be made non-interactive
    using the Fiat-Shamir heuristic.\r\nOur approach is based on a cryptographic primitive
    called Proof of Exponentiation (PoE) which, for a group G, certifies that a tuple
    (x,y,T)∈G2×N satisfies x2T=y (Pietrzak, ITCS 2019 and Wesolowski, J. Cryptol.
    2020). In particular, we show how to adapt Pietrzak’s PoE at a moderate additional
    cost to make it a cryptographically-sound certificate of non-primality."
acknowledgement: 'We are grateful to Pavel Atnashev for clarifying via e-mail several
  aspects of the primality tests implementated in the PrimeGrid project. Pavel Hubáček
  is supported by the Czech Academy of Sciences (RVO 67985840), the Grant Agency of
  the Czech Republic under the grant agreement no. 19-27871X, and by the Charles University
  project UNCE/SCI/004. Chethan Kamath is supported by Azrieli International Postdoctoral
  Fellowship, ISF grants 484/18 and 1789/19, and ERC StG project SPP: Secrecy Preserving
  Proofs.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Charlotte
  full_name: Hoffmann, Charlotte
  id: 0f78d746-dc7d-11ea-9b2f-83f92091afe7
  last_name: Hoffmann
  orcid: 0000-0003-2027-5549
- first_name: Pavel
  full_name: Hubáček, Pavel
  last_name: Hubáček
- first_name: Chethan
  full_name: Kamath, Chethan
  last_name: Kamath
- first_name: Krzysztof Z
  full_name: Pietrzak, Krzysztof Z
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
citation:
  ama: 'Hoffmann C, Hubáček P, Kamath C, Pietrzak KZ. Certifying giant nonprimes.
    In: <i>Public-Key Cryptography - PKC 2023</i>. Vol 13940. Springer Nature; 2023:530-553.
    doi:<a href="https://doi.org/10.1007/978-3-031-31368-4_19">10.1007/978-3-031-31368-4_19</a>'
  apa: 'Hoffmann, C., Hubáček, P., Kamath, C., &#38; Pietrzak, K. Z. (2023). Certifying
    giant nonprimes. In <i>Public-Key Cryptography - PKC 2023</i> (Vol. 13940, pp.
    530–553). Atlanta, GA, United States: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-31368-4_19">https://doi.org/10.1007/978-3-031-31368-4_19</a>'
  chicago: Hoffmann, Charlotte, Pavel Hubáček, Chethan Kamath, and Krzysztof Z Pietrzak.
    “Certifying Giant Nonprimes.” In <i>Public-Key Cryptography - PKC 2023</i>, 13940:530–53.
    Springer Nature, 2023. <a href="https://doi.org/10.1007/978-3-031-31368-4_19">https://doi.org/10.1007/978-3-031-31368-4_19</a>.
  ieee: C. Hoffmann, P. Hubáček, C. Kamath, and K. Z. Pietrzak, “Certifying giant
    nonprimes,” in <i>Public-Key Cryptography - PKC 2023</i>, Atlanta, GA, United
    States, 2023, vol. 13940, pp. 530–553.
  ista: 'Hoffmann C, Hubáček P, Kamath C, Pietrzak KZ. 2023. Certifying giant nonprimes.
    Public-Key Cryptography - PKC 2023. PKC: Public-Key Cryptography, LNCS, vol. 13940,
    530–553.'
  mla: Hoffmann, Charlotte, et al. “Certifying Giant Nonprimes.” <i>Public-Key Cryptography
    - PKC 2023</i>, vol. 13940, Springer Nature, 2023, pp. 530–53, doi:<a href="https://doi.org/10.1007/978-3-031-31368-4_19">10.1007/978-3-031-31368-4_19</a>.
  short: C. Hoffmann, P. Hubáček, C. Kamath, K.Z. Pietrzak, in:, Public-Key Cryptography
    - PKC 2023, Springer Nature, 2023, pp. 530–553.
conference:
  end_date: 2023-05-10
  location: Atlanta, GA, United States
  name: 'PKC: Public-Key Cryptography'
  start_date: 2023-05-07
corr_author: '1'
date_created: 2023-06-18T22:00:47Z
date_published: 2023-05-02T00:00:00Z
date_updated: 2026-04-07T12:34:30Z
day: '02'
department:
- _id: KrPi
doi: 10.1007/978-3-031-31368-4_19
external_id:
  isi:
  - '001276519300019'
intvolume: '     13940'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2023/238
month: '05'
oa: 1
oa_version: Submitted Version
page: 530-553
publication: Public-Key Cryptography - PKC 2023
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031313677'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '20920'
    relation: dissertation_contains
    status: public
  - id: '20556'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Certifying giant nonprimes
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13940
year: '2023'
...
---
_id: '13097'
abstract:
- lang: eng
  text: 'Vertebrate movement is orchestrated by spinal inter- and motor neurons that,
    together with sensory and cognitive input, produce dynamic motor behaviors. These
    behaviors vary from the simple undulatory swimming of fish and larval aquatic
    species to the highly coordinated running, reaching and grasping of mice, humans
    and other mammals. This variation raises the fundamental question of how spinal
    circuits have changed in register with motor behavior. In simple, undulatory fish,
    exemplified by the lamprey, two broad classes of interneurons shape motor neuron
    output: ipsilateral-projecting excitatory neurons, and commissural-projecting
    inhibitory neurons. An additional class of ipsilateral inhibitory neurons is required
    to generate escape swim behavior in larval zebrafish and tadpoles. In limbed vertebrates,
    a more complex spinal neuron composition is observed. In this review, we provide
    evidence that movement elaboration correlates with an increase and specialization
    of these three basic interneuron types into molecularly, anatomically, and functionally
    distinct subpopulations. We summarize recent work linking neuron types to movement-pattern
    generation across fish, amphibians, reptiles, birds and mammals.'
acknowledgement: 'This work was supported by the ERC Starting grant, ERC-2021-STG
  #101041551.'
article_number: '1146449'
article_processing_charge: Yes
article_type: original
author:
- first_name: Alexia C
  full_name: Wilson, Alexia C
  id: 5230e794-15b2-11ec-abd3-e2d5335ebd1d
  last_name: Wilson
  orcid: 0000-0001-6191-1367
- first_name: Lora Beatrice Jaeger
  full_name: Sweeney, Lora Beatrice Jaeger
  id: 56BE8254-C4F0-11E9-8E45-0B23E6697425
  last_name: Sweeney
  orcid: 0000-0001-9242-5601
citation:
  ama: 'Wilson AC, Sweeney LB. Spinal cords: Symphonies of interneurons across species.
    <i>Frontiers in Neural Circuits</i>. 2023;17. doi:<a href="https://doi.org/10.3389/fncir.2023.1146449">10.3389/fncir.2023.1146449</a>'
  apa: 'Wilson, A. C., &#38; Sweeney, L. B. (2023). Spinal cords: Symphonies of interneurons
    across species. <i>Frontiers in Neural Circuits</i>. Frontiers. <a href="https://doi.org/10.3389/fncir.2023.1146449">https://doi.org/10.3389/fncir.2023.1146449</a>'
  chicago: 'Wilson, Alexia C, and Lora B. Sweeney. “Spinal Cords: Symphonies of Interneurons
    across Species.” <i>Frontiers in Neural Circuits</i>. Frontiers, 2023. <a href="https://doi.org/10.3389/fncir.2023.1146449">https://doi.org/10.3389/fncir.2023.1146449</a>.'
  ieee: 'A. C. Wilson and L. B. Sweeney, “Spinal cords: Symphonies of interneurons
    across species,” <i>Frontiers in Neural Circuits</i>, vol. 17. Frontiers, 2023.'
  ista: 'Wilson AC, Sweeney LB. 2023. Spinal cords: Symphonies of interneurons across
    species. Frontiers in Neural Circuits. 17, 1146449.'
  mla: 'Wilson, Alexia C., and Lora B. Sweeney. “Spinal Cords: Symphonies of Interneurons
    across Species.” <i>Frontiers in Neural Circuits</i>, vol. 17, 1146449, Frontiers,
    2023, doi:<a href="https://doi.org/10.3389/fncir.2023.1146449">10.3389/fncir.2023.1146449</a>.'
  short: A.C. Wilson, L.B. Sweeney, Frontiers in Neural Circuits 17 (2023).
corr_author: '1'
date_created: 2023-05-28T22:01:04Z
date_published: 2023-04-26T00:00:00Z
date_updated: 2026-04-07T12:36:07Z
day: '26'
ddc:
- '570'
department:
- _id: LoSw
doi: 10.3389/fncir.2023.1146449
external_id:
  isi:
  - '000984606200001'
  pmid:
  - '37180760'
file:
- access_level: open_access
  checksum: 7efd06de284a28e91e97127611a9c3fd
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-03T13:33:21Z
  date_updated: 2024-01-03T13:33:21Z
  file_id: '14729'
  file_name: 2023_FrontiersNeuralCircuits_Wilson.pdf
  file_size: 6667157
  relation: main_file
  success: 1
file_date_updated: 2024-01-03T13:33:21Z
has_accepted_license: '1'
intvolume: '        17'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: ebb66355-77a9-11ec-83b8-b8ac210a4dae
  grant_number: '101041551'
  name: Development and Evolution of Tetrapod Motor Circuits
publication: Frontiers in Neural Circuits
publication_identifier:
  issn:
  - 1662-5110
publication_status: published
publisher: Frontiers
quality_controlled: '1'
related_material:
  record:
  - id: '20735'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Spinal cords: Symphonies of interneurons across species'
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: 17
year: '2023'
...
---
_id: '14759'
abstract:
- lang: eng
  text: "Proper operation of electro-optic I/Q modulators relies on precise adjustment
    and control of the relative phase biases between the modulator’s internal interferometer
    arms. We present an all-analog phase bias locking scheme where error signals are
    obtained from the beat between the optical carrier and optical tones generated
    by an auxiliary 2 MHz \U0001D445\U0001D439 tone to lock the phases of all three
    involved interferometers for operation up to 10 GHz. With the developed method,
    we demonstrate an I/Q modulator in carrier-suppressed single-sideband mode, where
    the suppressed carrier and sideband are locked at optical power levels <−27dB\r\n
    relative to the transmitted sideband. We describe a simple analytical model for
    calculating the error signals and detail the implementation of the electronic
    circuitry for the implementation of the method."
acknowledgement: We thank Jakob Vorlaufer for technical contributions and Vyacheslav
  Li and Sofia Agafonova for comments on the manuscript.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sebastian
  full_name: Wald, Sebastian
  id: 133F200A-B015-11E9-AD41-0EDAE5697425
  last_name: Wald
  orcid: 0000-0002-5869-1604
- first_name: Fritz R
  full_name: Diorico, Fritz R
  id: 2E054C4C-F248-11E8-B48F-1D18A9856A87
  last_name: Diorico
  orcid: 0000-0002-4947-8924
- first_name: Onur
  full_name: Hosten, Onur
  id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
  last_name: Hosten
  orcid: 0000-0002-2031-204X
citation:
  ama: Wald S, Diorico FR, Hosten O. Analog stabilization of an electro-optic I/Q
    modulator with an auxiliary modulation tone. <i>Applied Optics</i>. 2023;62(1):1-7.
    doi:<a href="https://doi.org/10.1364/ao.474118">10.1364/ao.474118</a>
  apa: Wald, S., Diorico, F. R., &#38; Hosten, O. (2023). Analog stabilization of
    an electro-optic I/Q modulator with an auxiliary modulation tone. <i>Applied Optics</i>.
    Optica Publishing Group. <a href="https://doi.org/10.1364/ao.474118">https://doi.org/10.1364/ao.474118</a>
  chicago: Wald, Sebastian, Fritz R Diorico, and Onur Hosten. “Analog Stabilization
    of an Electro-Optic I/Q Modulator with an Auxiliary Modulation Tone.” <i>Applied
    Optics</i>. Optica Publishing Group, 2023. <a href="https://doi.org/10.1364/ao.474118">https://doi.org/10.1364/ao.474118</a>.
  ieee: S. Wald, F. R. Diorico, and O. Hosten, “Analog stabilization of an electro-optic
    I/Q modulator with an auxiliary modulation tone,” <i>Applied Optics</i>, vol.
    62, no. 1. Optica Publishing Group, pp. 1–7, 2023.
  ista: Wald S, Diorico FR, Hosten O. 2023. Analog stabilization of an electro-optic
    I/Q modulator with an auxiliary modulation tone. Applied Optics. 62(1), 1–7.
  mla: Wald, Sebastian, et al. “Analog Stabilization of an Electro-Optic I/Q Modulator
    with an Auxiliary Modulation Tone.” <i>Applied Optics</i>, vol. 62, no. 1, Optica
    Publishing Group, 2023, pp. 1–7, doi:<a href="https://doi.org/10.1364/ao.474118">10.1364/ao.474118</a>.
  short: S. Wald, F.R. Diorico, O. Hosten, Applied Optics 62 (2023) 1–7.
corr_author: '1'
date_created: 2024-01-08T13:19:14Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2026-04-07T12:35:11Z
day: '01'
department:
- _id: OnHo
doi: 10.1364/ao.474118
external_id:
  arxiv:
  - '2208.11591'
  isi:
  - '000906607900001'
intvolume: '        62'
isi: 1
issue: '1'
keyword:
- Atomic and Molecular Physics
- and Optics
- Engineering (miscellaneous)
- Electrical and Electronic Engineering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2208.11591
month: '01'
oa: 1
oa_version: Preprint
page: 1-7
publication: Applied Optics
publication_identifier:
  eissn:
  - 2155-3165
  issn:
  - 1559-128X
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
related_material:
  record:
  - id: '20798'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Analog stabilization of an electro-optic I/Q modulator with an auxiliary modulation
  tone
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 62
year: '2023'
...
---
_id: '14421'
abstract:
- lang: eng
  text: Only recently has it been possible to construct a self-adjoint Hamiltonian
    that involves the creation of Dirac particles at a point source in 3d space. Its
    definition makes use of an interior-boundary condition. Here, we develop for this
    Hamiltonian a corresponding theory of the Bohmian configuration. That is, we (non-rigorously)
    construct a Markov jump process $(Q_t)_{t\in\mathbb{R}}$ in the configuration
    space of a variable number of particles that is $|\psi_t|^2$-distributed at every
    time t and follows Bohmian trajectories between the jumps. The jumps correspond
    to particle creation or annihilation events and occur either to or from a configuration
    with a particle located at the source. The process is the natural analog of Bell's
    jump process, and a central piece in its construction is the determination of
    the rate of particle creation. The construction requires an analysis of the asymptotic
    behavior of the Bohmian trajectories near the source. We find that the particle
    reaches the source with radial speed 0, but orbits around the source infinitely
    many times in finite time before absorption (or after emission).
acknowledgement: J H gratefully acknowledges partial financial support by the ERC
  Advanced Grant 'RMTBeyond' No. 101020331.
article_number: '445201'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Roderich
  full_name: Tumulka, Roderich
  last_name: Tumulka
citation:
  ama: 'Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source.
    <i>Journal of Physics A: Mathematical and Theoretical</i>. 2023;56(44). doi:<a
    href="https://doi.org/10.1088/1751-8121/acfe62">10.1088/1751-8121/acfe62</a>'
  apa: 'Henheik, S. J., &#38; Tumulka, R. (2023). Creation rate of Dirac particles
    at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing. <a href="https://doi.org/10.1088/1751-8121/acfe62">https://doi.org/10.1088/1751-8121/acfe62</a>'
  chicago: 'Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles
    at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing, 2023. <a href="https://doi.org/10.1088/1751-8121/acfe62">https://doi.org/10.1088/1751-8121/acfe62</a>.'
  ieee: 'S. J. Henheik and R. Tumulka, “Creation rate of Dirac particles at a point
    source,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no.
    44. IOP Publishing, 2023.'
  ista: 'Henheik SJ, Tumulka R. 2023. Creation rate of Dirac particles at a point
    source. Journal of Physics A: Mathematical and Theoretical. 56(44), 445201.'
  mla: 'Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles
    at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>,
    vol. 56, no. 44, 445201, IOP Publishing, 2023, doi:<a href="https://doi.org/10.1088/1751-8121/acfe62">10.1088/1751-8121/acfe62</a>.'
  short: 'S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical
    56 (2023).'
corr_author: '1'
date_created: 2023-10-12T12:42:53Z
date_published: 2023-10-11T00:00:00Z
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department:
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doi: 10.1088/1751-8121/acfe62
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publication: 'Journal of Physics A: Mathematical and Theoretical'
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title: Creation rate of Dirac particles at a point source
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---
_id: '13317'
abstract:
- lang: eng
  text: We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables
    in a typical translation invariant system of quantum spins with L-body interactions,
    where L is the number of spins. This mathematically verifies the observation first
    made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130)
    that the ETH may hold for systems with additional translational symmetries for
    a naturally restricted class of observables. We also present numerical support
    for the same phenomenon for Hamiltonians with local interaction.
acknowledgement: "LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond”
  No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan
  Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics
  Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study
  (WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The
  University of Tokyo."
article_number: '128'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Shoki
  full_name: Sugimoto, Shoki
  last_name: Sugimoto
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Volodymyr
  full_name: Riabov, Volodymyr
  id: 1949f904-edfb-11eb-afb5-e2dfddabb93b
  last_name: Riabov
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis
    for translation invariant spin systems. <i>Journal of Statistical Physics</i>.
    2023;190(7). doi:<a href="https://doi.org/10.1007/s10955-023-03132-4">10.1007/s10955-023-03132-4</a>
  apa: Sugimoto, S., Henheik, S. J., Riabov, V., &#38; Erdös, L. (2023). Eigenstate
    thermalisation hypothesis for translation invariant spin systems. <i>Journal of
    Statistical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s10955-023-03132-4">https://doi.org/10.1007/s10955-023-03132-4</a>
  chicago: Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös.
    “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.”
    <i>Journal of Statistical Physics</i>. Springer Nature, 2023. <a href="https://doi.org/10.1007/s10955-023-03132-4">https://doi.org/10.1007/s10955-023-03132-4</a>.
  ieee: S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation
    hypothesis for translation invariant spin systems,” <i>Journal of Statistical
    Physics</i>, vol. 190, no. 7. Springer Nature, 2023.
  ista: Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation
    hypothesis for translation invariant spin systems. Journal of Statistical Physics.
    190(7), 128.
  mla: Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation
    Invariant Spin Systems.” <i>Journal of Statistical Physics</i>, vol. 190, no.
    7, 128, Springer Nature, 2023, doi:<a href="https://doi.org/10.1007/s10955-023-03132-4">10.1007/s10955-023-03132-4</a>.
  short: S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics
    190 (2023).
date_created: 2023-07-30T22:01:02Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2026-04-07T12:37:10Z
day: '21'
ddc:
- '510'
- '530'
department:
- _id: LaEr
doi: 10.1007/s10955-023-03132-4
ec_funded: 1
external_id:
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has_accepted_license: '1'
intvolume: '       190'
isi: 1
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
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  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
  eissn:
  - 1572-9613
  issn:
  - 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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title: Eigenstate thermalisation hypothesis for translation invariant spin systems
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user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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...
