---
OA_place: publisher
OA_type: free access
_id: '17494'
acknowledgement: I would like to thank K Kiernan for insightful comments and feedback.
  J P K Bravo is supported by IST Austria.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Jack Peter Kelly
  full_name: Bravo, Jack Peter Kelly
  id: 96aecfa5-8931-11ee-af30-aa6a5d6eee0e
  last_name: Bravo
  orcid: 0000-0003-0456-0753
citation:
  ama: 'Bravo JPK. Anti-plasmid immunity: A key to pathogen success? <i>Future Microbiology</i>.
    2024;19(15):1269-1272. doi:<a href="https://doi.org/10.1080/17460913.2024.2389720">10.1080/17460913.2024.2389720</a>'
  apa: 'Bravo, J. P. K. (2024). Anti-plasmid immunity: A key to pathogen success?
    <i>Future Microbiology</i>. Taylor &#38; Francis. <a href="https://doi.org/10.1080/17460913.2024.2389720">https://doi.org/10.1080/17460913.2024.2389720</a>'
  chicago: 'Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?”
    <i>Future Microbiology</i>. Taylor &#38; Francis, 2024. <a href="https://doi.org/10.1080/17460913.2024.2389720">https://doi.org/10.1080/17460913.2024.2389720</a>.'
  ieee: 'J. P. K. Bravo, “Anti-plasmid immunity: A key to pathogen success?,” <i>Future
    Microbiology</i>, vol. 19, no. 15. Taylor &#38; Francis, pp. 1269–1272, 2024.'
  ista: 'Bravo JPK. 2024. Anti-plasmid immunity: A key to pathogen success? Future
    Microbiology. 19(15), 1269–1272.'
  mla: 'Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?”
    <i>Future Microbiology</i>, vol. 19, no. 15, Taylor &#38; Francis, 2024, pp. 1269–72,
    doi:<a href="https://doi.org/10.1080/17460913.2024.2389720">10.1080/17460913.2024.2389720</a>.'
  short: J.P.K. Bravo, Future Microbiology 19 (2024) 1269–1272.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-09-05T07:32:00Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-10-02T12:01:31Z
day: '01'
ddc:
- '570'
department:
- _id: JaBr
doi: 10.1080/17460913.2024.2389720
external_id:
  isi:
  - '001306115400001'
  pmid:
  - '39230568'
fulldoi: https://doi.org/10.1080/17460913.2024.2389720
has_accepted_license: '1'
intvolume: '        19'
isi: 1
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1080/17460913.2024.2389720
month: '10'
oa: 1
oa_version: Published Version
page: 1269-1272
pmid: 1
publication: Future Microbiology
publication_identifier:
  eissn:
  - 1746-0921
  issn:
  - 1746-0913
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: 'Anti-plasmid immunity: A key to pathogen success?'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 19
year: '2024'
...
---
_id: '13318'
abstract:
- lang: eng
  text: Bohnenblust–Hille inequalities for Boolean cubes have been proven with dimension-free
    constants that grow subexponentially in the degree (Defant et al. in Math Ann
    374(1):653–680, 2019). Such inequalities have found great applications in learning
    low-degree Boolean functions (Eskenazis and Ivanisvili in Proceedings of the 54th
    annual ACM SIGACT symposium on theory of computing, pp 203–207, 2022). Motivated
    by learning quantum observables, a qubit analogue of Bohnenblust–Hille inequality
    for Boolean cubes was recently conjectured in Rouzé et al. (Quantum Talagrand,
    KKL and Friedgut’s theorems and the learnability of quantum Boolean functions,
    2022. arXiv preprint arXiv:2209.07279). The conjecture was resolved in Huang et
    al. (Learning to predict arbitrary quantum processes, 2022. arXiv preprint arXiv:2210.14894).
    In this paper, we give a new proof of these Bohnenblust–Hille inequalities for
    qubit system with constants that are dimension-free and of exponential growth
    in the degree. As a consequence, we obtain a junta theorem for low-degree polynomials.
    Using similar ideas, we also study learning problems of low degree quantum observables
    and Bohr’s radius phenomenon on quantum Boolean cubes.
acknowledgement: The research of A.V. is supported by NSF DMS-1900286, DMS-2154402
  and by Hausdorff Center for Mathematics. H.Z. is supported by the Lise Meitner fellowship,
  Austrian Science Fund (FWF) M3337. This work is partially supported by NSF DMS-1929284
  while both authors were in residence at the Institute for Computational and Experimental
  Research in Mathematics in Providence, RI, during the Harmonic Analysis and Convexity
  program.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Alexander
  full_name: Volberg, Alexander
  last_name: Volberg
- first_name: Haonan
  full_name: Zhang, Haonan
  id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
  last_name: Zhang
  orcid: 0000-0001-9537-9663
citation:
  ama: Volberg A, Zhang H. Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische
    Annalen</i>. 2024;389:1657-1676. doi:<a href="https://doi.org/10.1007/s00208-023-02680-0">10.1007/s00208-023-02680-0</a>
  apa: Volberg, A., &#38; Zhang, H. (2024). Noncommutative Bohnenblust–Hille inequalities.
    <i>Mathematische Annalen</i>. Springer Nature. <a href="https://doi.org/10.1007/s00208-023-02680-0">https://doi.org/10.1007/s00208-023-02680-0</a>
  chicago: Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille
    Inequalities.” <i>Mathematische Annalen</i>. Springer Nature, 2024. <a href="https://doi.org/10.1007/s00208-023-02680-0">https://doi.org/10.1007/s00208-023-02680-0</a>.
  ieee: A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,”
    <i>Mathematische Annalen</i>, vol. 389. Springer Nature, pp. 1657–1676, 2024.
  ista: Volberg A, Zhang H. 2024. Noncommutative Bohnenblust–Hille inequalities. Mathematische
    Annalen. 389, 1657–1676.
  mla: Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.”
    <i>Mathematische Annalen</i>, vol. 389, Springer Nature, 2024, pp. 1657–76, doi:<a
    href="https://doi.org/10.1007/s00208-023-02680-0">10.1007/s00208-023-02680-0</a>.
  short: A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: All data generated or analysed during this study are included
  in this article.
date_created: 2023-07-30T22:01:03Z
date_published: 2024-06-01T00:00:00Z
date_updated: 2026-10-02T12:12:33Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s00208-023-02680-0
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  - '2210.14468'
  isi:
  - '001035665500001'
  pmid:
  - '38751410'
file:
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fulldoi: https://doi.org/10.1007/s00208-023-02680-0
has_accepted_license: '1'
intvolume: '       389'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: 1657-1676
pmid: 1
project:
- _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6
  grant_number: M03337
  name: Curvature-dimension in noncommutative analysis
publication: Mathematische Annalen
publication_identifier:
  eissn:
  - 1432-1807
  issn:
  - 0025-5831
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: no
title: Noncommutative Bohnenblust–Hille inequalities
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: 389
year: '2024'
...
---
_id: '17282'
abstract:
- lang: eng
  text: Let  X  be a vector field and  Y  be a co-vector field on a smooth manifold  M.
    Does there exist a smooth Riemannian metric  gαβ  on  M  such that  Yβ=gαβXα ?
    The main result of this note gives necessary and sufficient conditions for this
    to be true. As an application of this result we show that a finite-dimensional
    ergodic Lindblad equation admits a gradient flow structure for the von Neumann
    relative entropy if and only if the condition of BKM-detailed balance holds.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria).J. M. gratefully acknowledges support by the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 716117), and by the Austrian Science Fund (FWF), Project SFB
  F65. We thank the anonymous referee for valuable comments on the paper.
article_number: '153'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Morris
  full_name: Brooks, Morris
  id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
  last_name: Brooks
  orcid: 0000-0002-6249-0928
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
citation:
  ama: Brooks M, Maas J. Characterisation of gradient flows for a given functional.
    <i>Calculus of Variations and Partial Differential Equations</i>. 2024;63(6).
    doi:<a href="https://doi.org/10.1007/s00526-024-02755-z">10.1007/s00526-024-02755-z</a>
  apa: Brooks, M., &#38; Maas, J. (2024). Characterisation of gradient flows for a
    given functional. <i>Calculus of Variations and Partial Differential Equations</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00526-024-02755-z">https://doi.org/10.1007/s00526-024-02755-z</a>
  chicago: Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a
    given Functional.” <i>Calculus of Variations and Partial Differential Equations</i>.
    Springer Nature, 2024. <a href="https://doi.org/10.1007/s00526-024-02755-z">https://doi.org/10.1007/s00526-024-02755-z</a>.
  ieee: M. Brooks and J. Maas, “Characterisation of gradient flows for a given functional,”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 63, no.
    6. Springer Nature, 2024.
  ista: Brooks M, Maas J. 2024. Characterisation of gradient flows for a given functional.
    Calculus of Variations and Partial Differential Equations. 63(6), 153.
  mla: Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given
    Functional.” <i>Calculus of Variations and Partial Differential Equations</i>,
    vol. 63, no. 6, 153, Springer Nature, 2024, doi:<a href="https://doi.org/10.1007/s00526-024-02755-z">10.1007/s00526-024-02755-z</a>.
  short: M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations
    63 (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Data sharing not applicable to this article as no datasets
  were generated or analysed during the current study.
date_created: 2024-07-21T22:01:01Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-10-02T12:14:17Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s00526-024-02755-z
ec_funded: 1
external_id:
  arxiv:
  - '2209.11149'
  isi:
  - '001258097800003'
  pmid:
  - '38947856'
file:
- access_level: open_access
  checksum: a0cf0e0ba2157aabb287cb597be17dac
  content_type: application/pdf
  creator: dernst
  date_created: 2024-07-22T07:05:32Z
  date_updated: 2024-07-22T07:05:32Z
  file_id: '17289'
  file_name: 2024_CalculusVariations_Brooks.pdf
  file_size: 416622
  relation: main_file
  success: 1
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fulldoi: https://doi.org/10.1007/s00526-024-02755-z
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '6'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  eissn:
  - 1432-0835
  issn:
  - 0944-2669
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: not applicable
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status: public
supplementarymaterial: no
title: Characterisation of gradient flows for a given functional
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: 63
year: '2024'
...
---
_id: '17143'
abstract:
- lang: eng
  text: "This paper deals with local criteria for the convergence to a global minimiser
    for gradient flow trajectories and their discretisations. To obtain quantitative
    estimates on the speed of convergence, we consider variations on the classical
    Kurdyka–Łojasiewicz inequality for a large class of parameter functions. Our assumptions
    are given in terms of the initial data, without any reference to an equilibrium
    point. The main results are convergence statements for gradient flow curves and
    proximal point sequences to a global minimiser, together with sharp quantitative
    estimates on the speed of convergence. These convergence results apply in the
    general setting of lower semicontinuous functionals on complete metric spaces,
    generalising recent results for smooth functionals on Rn. While the non-smooth
    setting covers very general spaces, it is also useful for (non)-smooth functionals
    on Rn.\r\n."
acknowledgement: The authors gratefully acknowledges support by the European Research
  Council (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No. 716117). This research was funded in part by the Austrian Science
  Fund (FWF) project 10.55776/ESP208. This research was funded in part by the Austrian
  Science Fund (FWF) project 10.55776/F65
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Francesco
  full_name: Pedrotti, Francesco
  id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  last_name: Pedrotti
citation:
  ama: Dello Schiavo L, Maas J, Pedrotti F. Local conditions for global convergence
    of gradient flows and proximal point sequences in metric spaces. <i>Transactions
    of the American Mathematical Society</i>. 2024;377(6):3779-3804. doi:<a href="https://doi.org/10.1090/tran/9156">10.1090/tran/9156</a>
  apa: Dello Schiavo, L., Maas, J., &#38; Pedrotti, F. (2024). Local conditions for
    global convergence of gradient flows and proximal point sequences in metric spaces.
    <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society. <a href="https://doi.org/10.1090/tran/9156">https://doi.org/10.1090/tran/9156</a>
  chicago: Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions
    for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric
    Spaces.” <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society, 2024. <a href="https://doi.org/10.1090/tran/9156">https://doi.org/10.1090/tran/9156</a>.
  ieee: L. Dello Schiavo, J. Maas, and F. Pedrotti, “Local conditions for global convergence
    of gradient flows and proximal point sequences in metric spaces,” <i>Transactions
    of the American Mathematical Society</i>, vol. 377, no. 6. American Mathematical
    Society, pp. 3779–3804, 2024.
  ista: Dello Schiavo L, Maas J, Pedrotti F. 2024. Local conditions for global convergence
    of gradient flows and proximal point sequences in metric spaces. Transactions
    of the American Mathematical Society. 377(6), 3779–3804.
  mla: Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of
    Gradient Flows and Proximal Point Sequences in Metric Spaces.” <i>Transactions
    of the American Mathematical Society</i>, vol. 377, no. 6, American Mathematical
    Society, 2024, pp. 3779–804, doi:<a href="https://doi.org/10.1090/tran/9156">10.1090/tran/9156</a>.
  short: L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical
    Society 377 (2024) 3779–3804.
das_tickbox: '0'
date_created: 2024-06-16T22:01:06Z
date_published: 2024-06-01T00:00:00Z
date_updated: 2026-10-02T12:13:16Z
day: '01'
department:
- _id: JaMa
doi: 10.1090/tran/9156
ec_funded: 1
external_id:
  arxiv:
  - '2304.05239'
  isi:
  - '001203273300001'
fulldoi: https://doi.org/10.1090/tran/9156
intvolume: '       377'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
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  url: https://doi.org/10.48550/arXiv.2304.05239
month: '06'
oa: 1
oa_version: Preprint
page: 3779-3804
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 34dbf174-11ca-11ed-8bc3-afe9d43d4b9c
  grant_number: E208
  name: Configuration Spaces over Non-Smooth Spaces
publication: Transactions of the American Mathematical Society
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  eissn:
  - 1088-6850
  issn:
  - 0002-9947
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
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  - id: '17336'
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    status: public
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scopus_import: '1'
status: public
supplementarymaterial: yes
title: Local conditions for global convergence of gradient flows and proximal point
  sequences in metric spaces
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 377
year: '2024'
...
---
_id: '13271'
abstract:
- lang: eng
  text: "In this paper, we prove the convexity of trace functionals (A,B,C)↦Tr|BpACq|s,\r\nfor
    parameters (p, q, s) that are best possible, where B and C are any n-by-n positive-definite
    matrices, and A is any n-by-n matrix. We also obtain the monotonicity versions
    of trace functionals of this type. As applications, we extend some results in
    Carlen et al. (Linear Algebra Appl 490:174–185, 2016), Hiai and Petz (Publ Res
    Inst Math Sci 48(3):525-542, 2012) and resolve a conjecture in Al-Rashed and Zegarliński
    (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) in the matrix
    setting. Other conjectures in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum
    Probab Relat Top 17(4):1450029, 2014) will also be discussed. We also show that
    some related trace functionals are not concave in general. Such concavity results
    were expected to hold in different problems."
acknowledgement: I am grateful to Boguslaw Zegarliński for asking me the questions
  in [3] and for helpful communication. I also want to thank Paata Ivanisvili for
  drawing [25] to my attention and for useful correspondence. Many thanks to the anonymous
  referee for the valuable comments and for pointing out some errors in an earlier
  version of the paper. This work is partially supported by the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
  No. 754411 and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Haonan
  full_name: Zhang, Haonan
  id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
  last_name: Zhang
  orcid: 0000-0001-9537-9663
citation:
  ama: Zhang H. Some convexity and monotonicity results of trace functionals. <i>Annales
    Henri Poincare</i>. 2024;25:2087-2106. doi:<a href="https://doi.org/10.1007/s00023-023-01345-7">10.1007/s00023-023-01345-7</a>
  apa: Zhang, H. (2024). Some convexity and monotonicity results of trace functionals.
    <i>Annales Henri Poincare</i>. Springer Nature. <a href="https://doi.org/10.1007/s00023-023-01345-7">https://doi.org/10.1007/s00023-023-01345-7</a>
  chicago: Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.”
    <i>Annales Henri Poincare</i>. Springer Nature, 2024. <a href="https://doi.org/10.1007/s00023-023-01345-7">https://doi.org/10.1007/s00023-023-01345-7</a>.
  ieee: H. Zhang, “Some convexity and monotonicity results of trace functionals,”
    <i>Annales Henri Poincare</i>, vol. 25. Springer Nature, pp. 2087–2106, 2024.
  ista: Zhang H. 2024. Some convexity and monotonicity results of trace functionals.
    Annales Henri Poincare. 25, 2087–2106.
  mla: Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.”
    <i>Annales Henri Poincare</i>, vol. 25, Springer Nature, 2024, pp. 2087–106, doi:<a
    href="https://doi.org/10.1007/s00023-023-01345-7">10.1007/s00023-023-01345-7</a>.
  short: H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-07-23T22:01:15Z
date_published: 2024-04-01T00:00:00Z
date_updated: 2026-10-02T12:11:07Z
day: '01'
department:
- _id: JaMa
doi: 10.1007/s00023-023-01345-7
ec_funded: 1
external_id:
  arxiv:
  - '2108.05785'
  isi:
  - '001025709100001'
fulldoi: https://doi.org/10.1007/s00023-023-01345-7
intvolume: '        25'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2108.05785
month: '04'
oa: 1
oa_version: Preprint
page: 2087-2106
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6
  grant_number: M03337
  name: Curvature-dimension in noncommutative analysis
publication: Annales Henri Poincare
publication_identifier:
  issn:
  - 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Some convexity and monotonicity results of trace functionals
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 25
year: '2024'
...
---
_id: '15252'
abstract:
- lang: eng
  text: A measurable map between measure spaces is shown to have bounded compression
    if and only if its image via the measure-algebra functor is Lipschitz-continuous
    w.r.t. the measure-algebra distances. This provides a natural interpretation of
    maps of bounded compression/deformation by means of the measure-algebra functor
    and corrobo-rates the assertion that maps of bounded deformation are a natural
    class of morphisms for the category of complete and separable metric measure spaces.
acknowledgement: "The author gratefully acknowledges funding of his current position
  by the Austrian Science\r\nFund (FWF), grant ESPRIT208. He is grateful to Enrico
  Pasqualetto for pointing out some\r\nreferences on maps of bounded compression."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
citation:
  ama: Dello Schiavo L. A characterization of maps of bounded compression. <i>Mathematical
    Communications</i>. 2024;29(1):137-142.
  apa: Dello Schiavo, L. (2024). A characterization of maps of bounded compression.
    <i>Mathematical Communications</i>. Udruga Matematicara Osijek.
  chicago: Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.”
    <i>Mathematical Communications</i>. Udruga Matematicara Osijek, 2024.
  ieee: L. Dello Schiavo, “A characterization of maps of bounded compression,” <i>Mathematical
    Communications</i>, vol. 29, no. 1. Udruga Matematicara Osijek, pp. 137–142, 2024.
  ista: Dello Schiavo L. 2024. A characterization of maps of bounded compression.
    Mathematical Communications. 29(1), 137–142.
  mla: Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.”
    <i>Mathematical Communications</i>, vol. 29, no. 1, Udruga Matematicara Osijek,
    2024, pp. 137–42.
  short: L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-03-31T22:01:12Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2026-10-02T12:15:11Z
day: '01'
department:
- _id: JaMa
external_id:
  arxiv:
  - '2304.11348'
intvolume: '        29'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2304.11348
month: '01'
oa: 1
oa_version: Preprint
page: 137-142
project:
- _id: 34dbf174-11ca-11ed-8bc3-afe9d43d4b9c
  grant_number: E208
  name: Configuration Spaces over Non-Smooth Spaces
publication: Mathematical Communications
publication_identifier:
  eissn:
  - 1848-8013
  issn:
  - 1331-0623
publication_status: published
publisher: Udruga Matematicara Osijek
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: A characterization of maps of bounded compression
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 29
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18490'
abstract:
- lang: eng
  text: 'For large classes of even-dimensional Riemannian manifolds (Formula presented.),
    we construct and analyze conformally invariant random fields. These centered Gaussian
    fields (Formula presented.), called co-polyharmonic Gaussian fields, are characterized
    by their covariance kernels k which exhibit a precise logarithmic divergence:
    (Formula presented.). They share a fundamental quasi-invariance property under
    conformal transformations. In terms of the co-polyharmonic Gaussian field (Formula
    presented.), we define the Liouville Quantum Gravity measure, a random measure
    on (Formula presented.), heuristically given as (Formula presented.) and rigorously
    obtained as almost sure weak limit of the right-hand side with (Formula presented.)
    replaced by suitable regular approximations (Formula presented.). In terms on
    the Liouville Quantum Gravity measure, we define the Liouville Brownian motion
    on (Formula presented.) and the random GJMS operators. Finally, we present an
    approach to a conformal field theory in arbitrary even dimension with an ansatz
    based on Branson''s (Formula presented.) -curvature: we give a rigorous meaning
    to the Polyakov–Liouville measure (Formula presented.) and we derive the corresponding
    conformal anomaly. The set of admissible manifolds is conformally invariant. It
    includes all compact 2-dimensional Riemannian manifolds, all compact non-negatively
    curved Einstein manifolds of even dimension, and large classes of compact hyperbolic
    manifolds of even dimension. However, not every compact even-dimensional Riemannian
    manifold is admissible. Our results concerning the logarithmic divergence of the
    kernel (Formula presented.) rely on new sharp estimates for heat kernels and higher
    order Green kernels on arbitrary closed manifolds. '
acknowledgement: The authors are grateful to Masha Gordina for helpful references,
  and to Nathanaël Berestycki, Baptiste Cerclé, and Ewain Gwynne for valuable comments
  on the first circulated version of this paper. They also would like to thank Sebastian
  Andres, Peter Friz, and Yizheng Yuan for pointing out an erroneous formulation in
  the previous version of Theorem 5.7. Moreover, KTS would liketo express his thanks
  to Sebastian Andres, Matthias Erbar, Martin Huesmann, and Jan Mass for stimulating
  discussions on previous attempts to this project. LDS gratefully acknowledges financial
  support from the European Research Council (grant agreement No 716117, awarded to
  J. Maas), from the Austrian Science Fund (FWF) project 10.55776/ESP208, and from
  the Austrian Science Fund (FWF) project 10.55776/F65.RH, EK, and KTS gratefully
  acknowledge funding by the Deutsche Forschungsgemeinschaft through the project “Random
  Riemannian Geometry” within the SPP 2265 “Random Geomet-ric Systems,” through the
  Hausdorff Center for Mathematics (project ID 390685813), and through project B03
  within the CRC 1060 (project ID 211504053). RH and KTS also gratefully acknowledge
  financial support from the European Research Council through the ERC AdG “RicciBounds”(grant
  agreement 694405).Data sharing not applicable to this article as no datasets were
  generated or analyzed during the current study. Open access funding enabled and
  organized by Projekt DEAL.
article_number: e70003
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Ronan
  full_name: Herry, Ronan
  last_name: Herry
- first_name: Eva
  full_name: Kopfer, Eva
  last_name: Kopfer
- first_name: Karl Theodor
  full_name: Sturm, Karl Theodor
  last_name: Sturm
citation:
  ama: Dello Schiavo L, Herry R, Kopfer E, Sturm KT. Conformally invariant random
    fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian
    manifolds of even dimension. <i>Journal of the London Mathematical Society</i>.
    2024;110(5). doi:<a href="https://doi.org/10.1112/jlms.70003">10.1112/jlms.70003</a>
  apa: Dello Schiavo, L., Herry, R., Kopfer, E., &#38; Sturm, K. T. (2024). Conformally
    invariant random fields, Liouville quantum gravity measures, and random Paneitz
    operators on Riemannian manifolds of even dimension. <i>Journal of the London
    Mathematical Society</i>. London Mathematical Society. <a href="https://doi.org/10.1112/jlms.70003">https://doi.org/10.1112/jlms.70003</a>
  chicago: Dello Schiavo, Lorenzo, Ronan Herry, Eva Kopfer, and Karl Theodor Sturm.
    “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and
    Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal
    of the London Mathematical Society</i>. London Mathematical Society, 2024. <a
    href="https://doi.org/10.1112/jlms.70003">https://doi.org/10.1112/jlms.70003</a>.
  ieee: L. Dello Schiavo, R. Herry, E. Kopfer, and K. T. Sturm, “Conformally invariant
    random fields, Liouville quantum gravity measures, and random Paneitz operators
    on Riemannian manifolds of even dimension,” <i>Journal of the London Mathematical
    Society</i>, vol. 110, no. 5. London Mathematical Society, 2024.
  ista: Dello Schiavo L, Herry R, Kopfer E, Sturm KT. 2024. Conformally invariant
    random fields, Liouville quantum gravity measures, and random Paneitz operators
    on Riemannian manifolds of even dimension. Journal of the London Mathematical
    Society. 110(5), e70003.
  mla: Dello Schiavo, Lorenzo, et al. “Conformally Invariant Random Fields, Liouville
    Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds
    of Even Dimension.” <i>Journal of the London Mathematical Society</i>, vol. 110,
    no. 5, e70003, London Mathematical Society, 2024, doi:<a href="https://doi.org/10.1112/jlms.70003">10.1112/jlms.70003</a>.
  short: L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London
    Mathematical Society 110 (2024).
das_tickbox: '0'
date_created: 2024-11-03T23:01:44Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2026-10-02T12:17:50Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1112/jlms.70003
ec_funded: 1
external_id:
  isi:
  - '001351918100029'
file:
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  date_updated: 2024-11-04T08:54:26Z
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fulldoi: https://doi.org/10.1112/jlms.70003
has_accepted_license: '1'
intvolume: '       110'
isi: 1
issue: '5'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: 34dbf174-11ca-11ed-8bc3-afe9d43d4b9c
  grant_number: E208
  name: Configuration Spaces over Non-Smooth Spaces
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Journal of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-7750
  issn:
  - 0024-6107
publication_status: published
publisher: London Mathematical Society
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: no
title: Conformally invariant random fields, Liouville quantum gravity measures, and
  random Paneitz operators on Riemannian manifolds of even dimension
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: 110
year: '2024'
...
---
_id: '15350'
abstract:
- lang: eng
  text: We extend three related results from the analysis of influences of Boolean
    functions to the quantum setting, namely the KKL theorem, Friedgut’s Junta theorem
    and Talagrand’s variance inequality for geometric influences. Our results are
    derived by a joint use of recently studied hypercontractivity and gradient estimates.
    These generic tools also allow us to derive generalizations of these results in
    a general von Neumann algebraic setting beyond the case of the quantum hypercube,
    including examples in infinite dimensions relevant to quantum information theory
    such as continuous variables quantum systems. Finally, we comment on the implications
    of our results as regards to noncommutative extensions of isoperimetric type inequalities,
    quantum circuit complexity lower bounds and the learnability of quantum observables.
acknowledgement: "Open access funding provided by the Carolinas Consortium.\r\nH.Z.
  is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.
  H.Z. would like to thank the American Institute of Mathematics and the AIM workshop
  Analysis on the hypercube with applications to quantum computing. He is also grateful
  to the organizers and other participants for creating an active atmosphere. The
  research of C.R. has been supported by ANR project QTraj (ANR-20-CE40-0024-01) of
  the French National Research Agency (ANR). C.R. acknowledges the support of the
  Munich Center for Quantum Sciences and Technology, as well as the Humboldt Foundation.
  C.R. would like to thank Amanda Young for fruitful discussion on the applications
  of Friedgut’s Junta theorem to learning quantum dynamics. The research of M.W. was
  funded by the Austrian Science Fund (FWF) under the Esprit Programme [ESP 156].
  For the purpose of Open Access, the authors have applied a CC BY public copyright
  licence to any Author Accepted Manuscript (AAM) version arising from this submission.
  The authors want to thank Francisco Escudero Gutierrez and Hsin-Yuan Huang for helpful
  comments on an earlier version of the paper. They are grateful to the referees for
  the careful reading and helpful comments."
article_number: '95'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Cambyse
  full_name: Rouzé, Cambyse
  last_name: Rouzé
- first_name: Melchior
  full_name: Wirth, Melchior
  id: 88644358-0A0E-11EA-8FA5-49A33DDC885E
  last_name: Wirth
  orcid: 0000-0002-0519-4241
- first_name: Haonan
  full_name: Zhang, Haonan
  id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
  last_name: Zhang
  orcid: 0000-0001-9537-9663
citation:
  ama: Rouzé C, Wirth M, Zhang H. Quantum Talagrand, KKL and Friedgut’s theorems and
    the learnability of quantum boolean functions. <i>Communications in Mathematical
    Physics</i>. 2024;405(4). doi:<a href="https://doi.org/10.1007/s00220-024-04981-0">10.1007/s00220-024-04981-0</a>
  apa: Rouzé, C., Wirth, M., &#38; Zhang, H. (2024). Quantum Talagrand, KKL and Friedgut’s
    theorems and the learnability of quantum boolean functions. <i>Communications
    in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s00220-024-04981-0">https://doi.org/10.1007/s00220-024-04981-0</a>
  chicago: Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL
    and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” <i>Communications
    in Mathematical Physics</i>. Springer Nature, 2024. <a href="https://doi.org/10.1007/s00220-024-04981-0">https://doi.org/10.1007/s00220-024-04981-0</a>.
  ieee: C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems
    and the learnability of quantum boolean functions,” <i>Communications in Mathematical
    Physics</i>, vol. 405, no. 4. Springer Nature, 2024.
  ista: Rouzé C, Wirth M, Zhang H. 2024. Quantum Talagrand, KKL and Friedgut’s theorems
    and the learnability of quantum boolean functions. Communications in Mathematical
    Physics. 405(4), 95.
  mla: Rouzé, Cambyse, et al. “Quantum Talagrand, KKL and Friedgut’s Theorems and
    the Learnability of Quantum Boolean Functions.” <i>Communications in Mathematical
    Physics</i>, vol. 405, no. 4, 95, Springer Nature, 2024, doi:<a href="https://doi.org/10.1007/s00220-024-04981-0">10.1007/s00220-024-04981-0</a>.
  short: C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405
    (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: No data was generated as part of this work.
date_created: 2024-04-29T08:47:28Z
date_published: 2024-04-09T00:00:00Z
date_updated: 2026-10-02T12:16:36Z
day: '09'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s00220-024-04981-0
external_id:
  arxiv:
  - '2209.07279'
  isi:
  - '001199509500004'
  pmid:
  - '38606337'
file:
- access_level: open_access
  checksum: 8ecd168755f0d40ebd7cd0b71063acfc
  content_type: application/pdf
  creator: dernst
  date_created: 2024-05-06T06:18:45Z
  date_updated: 2024-05-06T06:18:45Z
  file_id: '15365'
  file_name: 2024_CommMathPhysics_Rouze.pdf
  file_size: 653676
  relation: main_file
  success: 1
file_date_updated: 2024-05-06T06:18:45Z
fulldoi: https://doi.org/10.1007/s00220-024-04981-0
has_accepted_license: '1'
intvolume: '       405'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6
  grant_number: M03337
  name: Curvature-dimension in noncommutative analysis
- _id: 34c6ea2d-11ca-11ed-8bc3-c04f3c502833
  grant_number: ESP156_N
  name: Gradient flow techniques for quantum Markov semigroups
publication: Communications in Mathematical Physics
publication_identifier:
  eissn:
  - 1432-0916
  issn:
  - 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: no
title: Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum
  boolean functions
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: 405
year: '2024'
...
---
_id: '18158'
abstract:
- lang: eng
  text: "We study the geometry of Poisson point processes from the point of view of
    optimal transport and Ricci lower bounds. We construct a Riemannian structure
    on the space of point processes and the associated distance W that corresponds
    to the Benamou–Brenier variational formula. Our main tool is a non-local continuity
    equation formulated with the difference operator. The closure of the domain of
    the relative entropy is a complete geodesic space, when endowed with \r\nW. The
    geometry of this non-local infinite-dimensional space is analogous to that of
    spaces with positive Ricci curvature. Among others: (a) the Ornstein–Uhlenbeck
    semi-group is the gradient flow of the relative entropy; (b) the Poisson space
    has an entropic Ricci curvature bounded from below by 1; (c) W satisfies an HWI
    inequality."
- lang: fre
  text: "Nous étudions la géométrie des processus ponctuels de Poisson à travers le
    prisme du transport optimal et de la minoration de la courbure de Ricci. Nous
    construisons une structure\r\nriemannienne sur l’espace des processus ponctuels
    et la distance associée W qui concorde avec la formulation variationnelle de Benamou–Brenier.
    Notre analyse repose sur une équation de continuité non locale définie à l’aide
    de l’opérateur de différence. La fermeture du domaine de l’entropie relative,
    équipé de W, est un espace géodésique complet. La géométrie de cet espace non
    local et de dimension infinie est analogue à celle des espaces à courbure de Ricci
    strictement positive. Entre autres : (a) le semi-groupe d’Ornstein–Uhlenbeck est
    le flot du gradient de l’entropie relative ; (b) l’espace de Poisson a une courbure
    de Ricci entropique minorée par 1 ; (c) W satisfait une inégalité HWI."
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Ronan
  full_name: Herry, Ronan
  last_name: Herry
- first_name: Kohei
  full_name: Suzuki, Kohei
  last_name: Suzuki
citation:
  ama: Dello Schiavo L, Herry R, Suzuki K. Wasserstein geometry and Ricci curvature
    bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>.
    2024;11:957-1010. doi:<a href="https://doi.org/10.5802/jep.270">10.5802/jep.270</a>
  apa: Dello Schiavo, L., Herry, R., &#38; Suzuki, K. (2024). Wasserstein geometry
    and Ricci curvature bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique
    - Mathematiques</i>. Ecole Polytechnique. <a href="https://doi.org/10.5802/jep.270">https://doi.org/10.5802/jep.270</a>
  chicago: Dello Schiavo, Lorenzo, Ronan Herry, and Kohei Suzuki. “Wasserstein Geometry
    and Ricci Curvature Bounds for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique
    - Mathematiques</i>. Ecole Polytechnique, 2024. <a href="https://doi.org/10.5802/jep.270">https://doi.org/10.5802/jep.270</a>.
  ieee: L. Dello Schiavo, R. Herry, and K. Suzuki, “Wasserstein geometry and Ricci
    curvature bounds for Poisson spaces,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>,
    vol. 11. Ecole Polytechnique, pp. 957–1010, 2024.
  ista: Dello Schiavo L, Herry R, Suzuki K. 2024. Wasserstein geometry and Ricci curvature
    bounds for Poisson spaces. Journal de l’Ecole Polytechnique - Mathematiques. 11,
    957–1010.
  mla: Dello Schiavo, Lorenzo, et al. “Wasserstein Geometry and Ricci Curvature Bounds
    for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>,
    vol. 11, Ecole Polytechnique, 2024, pp. 957–1010, doi:<a href="https://doi.org/10.5802/jep.270">10.5802/jep.270</a>.
  short: L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique -
    Mathematiques 11 (2024) 957–1010.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-09-29T22:01:38Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2026-10-02T12:17:19Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.5802/jep.270
external_id:
  arxiv:
  - '2303.00398'
  isi:
  - '001367254000003'
file:
- access_level: open_access
  checksum: 5a51da5fb5f7fcaada378d43444cced8
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  creator: dernst
  date_created: 2024-10-01T07:31:56Z
  date_updated: 2024-10-01T07:31:56Z
  file_id: '18164'
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file_date_updated: 2024-10-01T07:31:56Z
fulldoi: https://doi.org/10.5802/jep.270
has_accepted_license: '1'
intvolume: '        11'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 957-1010
publication: Journal de l'Ecole Polytechnique - Mathematiques
publication_identifier:
  eissn:
  - 2270-518X
  issn:
  - 2429-7100
publication_status: published
publisher: Ecole Polytechnique
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Wasserstein geometry and Ricci curvature bounds for Poisson spaces
tmp:
  image: /images/cc_by.png
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  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: 11
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '14934'
abstract:
- lang: eng
  text: "We study random perturbations of a Riemannian manifold (M, g) by means of
    so-called\r\nFractional Gaussian Fields, which are defined intrinsically by the
    given manifold. The fields\r\nh• : ω \x02→ hω will act on the manifold via the
    conformal transformation g \x02→ gω := e2hω g.\r\nOur focus will be on the regular
    case with Hurst parameter H > 0, the critical case H = 0\r\nbeing the celebrated
    Liouville geometry in two dimensions. We want to understand how basic\r\ngeometric
    and functional-analytic quantities like diameter, volume, heat kernel, Brownian\r\nmotion,
    spectral bound, or spectral gap change under the influence of the noise. And if
    so, is\r\nit possible to quantify these dependencies in terms of key parameters
    of the noise? Another\r\ngoal is to define and analyze in detail the Fractional
    Gaussian Fields on a general Riemannian\r\nmanifold, a fascinating object of independent
    interest."
acknowledgement: "The authors would like to thank Matthias Erbar and Ronan Herry for
  valuable discussions on this project. They are also grateful to Nathanaël Berestycki,
  and Fabrice Baudoin for respectively pointing out the references [7], and [6, 24],
  and to Julien Fageot and Thomas Letendre for pointing out a mistake in a previous
  version of the proof of Proposition 3.10. The authors feel very much indebted to
  an anonymous reviewer for his/her careful reading and the many valuable suggestions
  that have significantly contributed to the improvement of the paper. L.D.S. gratefully
  acknowledges financial support by the Deutsche Forschungsgemeinschaft through CRC
  1060 as well as through SPP 2265, and by the Austrian Science Fund (FWF) grant F65
  at Institute of Science and Technology Austria. This research was funded in whole
  or in part by the Austrian Science Fund (FWF) ESPRIT 208. For the purpose of open
  access, the authors have applied a CC BY public copyright licence to any Author
  Accepted Manuscript version arising from this submission. E.K. and K.-T.S. gratefully
  acknowledge funding by the Deutsche Forschungsgemeinschaft through the Hausdorff
  Center for Mathematics and through CRC 1060 as well as through SPP 2265.\r\nOpen
  Access funding enabled and organized by Projekt DEAL."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Eva
  full_name: Kopfer, Eva
  last_name: Kopfer
- first_name: Karl Theodor
  full_name: Sturm, Karl Theodor
  last_name: Sturm
citation:
  ama: Dello Schiavo L, Kopfer E, Sturm KT. A discovery tour in random Riemannian
    geometry. <i>Potential Analysis</i>. 2024;61:501-553. doi:<a href="https://doi.org/10.1007/s11118-023-10118-0">10.1007/s11118-023-10118-0</a>
  apa: Dello Schiavo, L., Kopfer, E., &#38; Sturm, K. T. (2024). A discovery tour
    in random Riemannian geometry. <i>Potential Analysis</i>. Springer Nature. <a
    href="https://doi.org/10.1007/s11118-023-10118-0">https://doi.org/10.1007/s11118-023-10118-0</a>
  chicago: Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery
    Tour in Random Riemannian Geometry.” <i>Potential Analysis</i>. Springer Nature,
    2024. <a href="https://doi.org/10.1007/s11118-023-10118-0">https://doi.org/10.1007/s11118-023-10118-0</a>.
  ieee: L. Dello Schiavo, E. Kopfer, and K. T. Sturm, “A discovery tour in random
    Riemannian geometry,” <i>Potential Analysis</i>, vol. 61. Springer Nature, pp.
    501–553, 2024.
  ista: Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian
    geometry. Potential Analysis. 61, 501–553.
  mla: Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.”
    <i>Potential Analysis</i>, vol. 61, Springer Nature, 2024, pp. 501–53, doi:<a
    href="https://doi.org/10.1007/s11118-023-10118-0">10.1007/s11118-023-10118-0</a>.
  short: L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.
das_tickbox: '0'
date_created: 2024-02-04T23:00:54Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-10-02T12:18:13Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s11118-023-10118-0
external_id:
  arxiv:
  - '2012.06796'
  isi:
  - '001151118800001'
file:
- access_level: open_access
  checksum: 33c688bdf296c3d8f8bbd96c7dd26037
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  creator: dernst
  date_created: 2025-01-09T08:13:34Z
  date_updated: 2025-01-09T08:13:34Z
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  file_name: 2024_PotentialAnalysis_DelloSchiavo.pdf
  file_size: 1294993
  relation: main_file
  success: 1
file_date_updated: 2025-01-09T08:13:34Z
fulldoi: https://doi.org/10.1007/s11118-023-10118-0
has_accepted_license: '1'
intvolume: '        61'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 501-553
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Potential Analysis
publication_identifier:
  eissn:
  - 1572-929X
  issn:
  - 0926-2601
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: A discovery tour in random Riemannian geometry
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: 61
year: '2024'
...
---
_id: '15317'
abstract:
- lang: eng
  text: 'We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes
    on a bounded Lipschitz domain Ω, with both fast and slow boundary. For the random
    walks on Ω dual to SEP/SIP we establish: a functional-CLT-type convergence to
    the Brownian motion on Ω with either Neumann (slow boundary), Dirichlet (fast
    boundary), or Robin (at criticality) boundary conditions; the discrete-to-continuum
    convergence of the corresponding harmonic profiles. As a consequence, we rigorously
    derive the hydrodynamic and hydrostatic limits for SEP/SIP on Ω, and analyze their
    stationary nonequilibrium fluctuations. All scaling limit results for SEP/SIP
    concern finite-dimensional distribution convergence only, as our duality techniques
    do not require to establish tightness for the fields associated to the particle
    systems.'
acknowledgement: "The first author gratefully acknowledges funding by the Austrian
  Science Fund (FWF) grant F65, by the European Research Council (ERC, grant agreement
  No 716117, awarded to Prof. Dr. Jan Maas). He also gratefully acknowledges funding
  of his current position by the Austrian Science Fund (FWF) grant ESPRIT 208.\r\nThe
  second author gratefully acknowledges funding by the Hausdorff Center for Mathematics
  at the University of Bonn. Part of this work was completed while this author was
  a member of the Institute of Science and Technology Austria. He gratefully acknowledges
  funding of his position at that time by the Austrian Science Fund (FWF) grants F65
  and W1245.\r\nThe third author gratefully acknowledges funding by the Lise Meitner
  fellowship, Austrian Science Fund (FWF): M3211. Part of this work was completed
  while funded by the European Union’s Horizon 2020 research and innovation programme
  under the Marie-Skłodowska-Curie grant agreement No. 754411."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
- first_name: Lorenzo
  full_name: Portinale, Lorenzo
  id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87
  last_name: Portinale
- first_name: Federico
  full_name: Sau, Federico
  id: E1836206-9F16-11E9-8814-AEFDE5697425
  last_name: Sau
citation:
  ama: Dello Schiavo L, Portinale L, Sau F. Scaling limits of random walks, harmonic
    profiles, and stationary nonequilibrium states in Lipschitz domains. <i>Annals
    of Applied Probability</i>. 2024;34(2):1789-1845. doi:<a href="https://doi.org/10.1214/23-AAP2007">10.1214/23-AAP2007</a>
  apa: Dello Schiavo, L., Portinale, L., &#38; Sau, F. (2024). Scaling limits of random
    walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains.
    <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics. <a
    href="https://doi.org/10.1214/23-AAP2007">https://doi.org/10.1214/23-AAP2007</a>
  chicago: Dello Schiavo, Lorenzo, Lorenzo Portinale, and Federico Sau. “Scaling Limits
    of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz
    Domains.” <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics,
    2024. <a href="https://doi.org/10.1214/23-AAP2007">https://doi.org/10.1214/23-AAP2007</a>.
  ieee: L. Dello Schiavo, L. Portinale, and F. Sau, “Scaling limits of random walks,
    harmonic profiles, and stationary nonequilibrium states in Lipschitz domains,”
    <i>Annals of Applied Probability</i>, vol. 34, no. 2. Institute of Mathematical
    Statistics, pp. 1789–1845, 2024.
  ista: Dello Schiavo L, Portinale L, Sau F. 2024. Scaling limits of random walks,
    harmonic profiles, and stationary nonequilibrium states in Lipschitz domains.
    Annals of Applied Probability. 34(2), 1789–1845.
  mla: Dello Schiavo, Lorenzo, et al. “Scaling Limits of Random Walks, Harmonic Profiles,
    and Stationary Nonequilibrium States in Lipschitz Domains.” <i>Annals of Applied
    Probability</i>, vol. 34, no. 2, Institute of Mathematical Statistics, 2024, pp.
    1789–845, doi:<a href="https://doi.org/10.1214/23-AAP2007">10.1214/23-AAP2007</a>.
  short: L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34
    (2024) 1789–1845.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-04-14T22:01:02Z
date_published: 2024-04-01T00:00:00Z
date_updated: 2026-10-02T12:15:34Z
day: '01'
department:
- _id: JaMa
doi: 10.1214/23-AAP2007
ec_funded: 1
external_id:
  arxiv:
  - '2112.14196'
  isi:
  - '001198623200016'
fulldoi: https://doi.org/10.1214/23-AAP2007
intvolume: '        34'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2112.14196
month: '04'
oa: 1
oa_version: Preprint
page: 1789-1845
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: 3490b268-11ca-11ed-8bc3-e0ad03f48839
  grant_number: M03211
  name: Reaching consensus in heterogeneous random opinion dynamics
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 34dbf174-11ca-11ed-8bc3-afe9d43d4b9c
  grant_number: E208
  name: Configuration Spaces over Non-Smooth Spaces
- _id: 260788DE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1245
  name: Dissipation and dispersion in nonlinear partial differential equations
publication: Annals of Applied Probability
publication_identifier:
  issn:
  - 1050-5164
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium
  states in Lipschitz domains
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 34
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '15373'
abstract:
- lang: eng
  text: In this article we prove a refined version of the Christensen–Evans theorem
    for generators of uniformly continuous GNS-symmetric quantum Markov semigroups.
    We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric
    quantum Markov semigroups. In particular, this implies that the generators of
    GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra
    can be written in the form specified by Alicki's theorem.
article_number: '110475'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Melchior
  full_name: Wirth, Melchior
  id: 88644358-0A0E-11EA-8FA5-49A33DDC885E
  last_name: Wirth
  orcid: 0000-0002-0519-4241
citation:
  ama: Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum
    Markov semigroups. <i>Journal of Functional Analysis</i>. 2024;287(3). doi:<a
    href="https://doi.org/10.1016/j.jfa.2024.110475">10.1016/j.jfa.2024.110475</a>
  apa: Wirth, M. (2024). Christensen–Evans theorem and extensions of GNS-symmetric
    quantum Markov semigroups. <i>Journal of Functional Analysis</i>. Elsevier. <a
    href="https://doi.org/10.1016/j.jfa.2024.110475">https://doi.org/10.1016/j.jfa.2024.110475</a>
  chicago: Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric
    Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>. Elsevier, 2024.
    <a href="https://doi.org/10.1016/j.jfa.2024.110475">https://doi.org/10.1016/j.jfa.2024.110475</a>.
  ieee: M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum
    Markov semigroups,” <i>Journal of Functional Analysis</i>, vol. 287, no. 3. Elsevier,
    2024.
  ista: Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum
    Markov semigroups. Journal of Functional Analysis. 287(3), 110475.
  mla: Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric
    Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>, vol. 287, no.
    3, 110475, Elsevier, 2024, doi:<a href="https://doi.org/10.1016/j.jfa.2024.110475">10.1016/j.jfa.2024.110475</a>.
  short: M. Wirth, Journal of Functional Analysis 287 (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: No data was used for the research described in the article.
date_created: 2024-05-12T22:01:01Z
date_published: 2024-08-01T00:00:00Z
date_updated: 2026-10-02T12:19:05Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1016/j.jfa.2024.110475
external_id:
  isi:
  - '001237916800001'
file:
- access_level: open_access
  checksum: 657c9f77dd30bb31ce43a591f58126a2
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-09T09:33:56Z
  date_updated: 2025-01-09T09:33:56Z
  file_id: '18802'
  file_name: 2024_JourFunctAnalysis_Wirth.pdf
  file_size: 503148
  relation: main_file
  success: 1
file_date_updated: 2025-01-09T09:33:56Z
fulldoi: https://doi.org/10.1016/j.jfa.2024.110475
has_accepted_license: '1'
intvolume: '       287'
isi: 1
issue: '3'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication: Journal of Functional Analysis
publication_identifier:
  eissn:
  - 1096-0783
  issn:
  - 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: no
title: Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
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: 287
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '17277'
abstract:
- lang: eng
  text: "This paper is devoted to stability results for the Gaussian logarithmic Sobolev
    inequality, with explicit stability constants.\r\n\r\n"
acknowledgement: The authors thank Max Fathi and Pierre Cardaliaguet for fruitful
  discussions and Emanuel Indrei for stimulating interactions. They also thank an
  anonymous referee for useful comments and suggestions which have led to an improvement
  of the manuscript. They also want to express their gratitude to the managing editor,
  L. Gross, for his encouragements and questions. G.B. has been funded by the European
  Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie
  grant agreement No 754362. This work has been (partially) supported by the Project
  Conviviality ANR-23-CE40-0003 of the French National Research Agency.
article_number: '110562'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Giovanni
  full_name: Brigati, Giovanni
  id: 63ff57e8-1fbb-11ee-88f2-f558ffc59cf1
  last_name: Brigati
- first_name: Jean
  full_name: Dolbeault, Jean
  last_name: Dolbeault
- first_name: Nikita
  full_name: Simonov, Nikita
  last_name: Simonov
citation:
  ama: Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality.
    <i>Journal of Functional Analysis</i>. 2024;287(8). doi:<a href="https://doi.org/10.1016/j.jfa.2024.110562">10.1016/j.jfa.2024.110562</a>
  apa: Brigati, G., Dolbeault, J., &#38; Simonov, N. (2024). Stability for the logarithmic
    Sobolev inequality. <i>Journal of Functional Analysis</i>. Elsevier. <a href="https://doi.org/10.1016/j.jfa.2024.110562">https://doi.org/10.1016/j.jfa.2024.110562</a>
  chicago: Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the
    Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>. Elsevier,
    2024. <a href="https://doi.org/10.1016/j.jfa.2024.110562">https://doi.org/10.1016/j.jfa.2024.110562</a>.
  ieee: G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev
    inequality,” <i>Journal of Functional Analysis</i>, vol. 287, no. 8. Elsevier,
    2024.
  ista: Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev
    inequality. Journal of Functional Analysis. 287(8), 110562.
  mla: Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.”
    <i>Journal of Functional Analysis</i>, vol. 287, no. 8, 110562, Elsevier, 2024,
    doi:<a href="https://doi.org/10.1016/j.jfa.2024.110562">10.1016/j.jfa.2024.110562</a>.
  short: G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287
    (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: No data was used for the research described in the article.
date_created: 2024-07-21T22:01:00Z
date_published: 2024-10-15T00:00:00Z
date_updated: 2026-10-02T12:19:42Z
day: '15'
department:
- _id: JaMa
doi: 10.1016/j.jfa.2024.110562
external_id:
  arxiv:
  - '2303.12926'
  isi:
  - '001271814000001'
fulldoi: https://doi.org/10.1016/j.jfa.2024.110562
intvolume: '       287'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 10.48550/arXiv.2303.12926
month: '10'
oa: 1
oa_version: Preprint
publication: Journal of Functional Analysis
publication_identifier:
  eissn:
  - 1096-0783
  issn:
  - 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: no
title: Stability for the logarithmic Sobolev inequality
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 287
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18900'
abstract:
- lang: eng
  text: We prove that certain closable derivations on the GNS Hilbert space associated
    with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric
    semigroups of contractive completely positive maps on the von Neumann algebra.
acknowledgement: 'The author was funded by the Austrian Science Fund under the Esprit
  Programme [ESP 156]. For the purpose of Open Access, the authors have applied a
  CC BY public copyright licence to any Author Accepted Manuscript version arising
  from this submission. '
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Melchior
  full_name: Wirth, Melchior
  id: 88644358-0A0E-11EA-8FA5-49A33DDC885E
  last_name: Wirth
  orcid: 0000-0002-0519-4241
citation:
  ama: Wirth M. Modular completely Dirichlet forms as squares of derivations. <i>International
    Mathematics Research Notices</i>. 2024;2024(14):10597-10614. doi:<a href="https://doi.org/10.1093/imrn/rnae092">10.1093/imrn/rnae092</a>
  apa: Wirth, M. (2024). Modular completely Dirichlet forms as squares of derivations.
    <i>International Mathematics Research Notices</i>. Oxford University Press. <a
    href="https://doi.org/10.1093/imrn/rnae092">https://doi.org/10.1093/imrn/rnae092</a>
  chicago: Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.”
    <i>International Mathematics Research Notices</i>. Oxford University Press, 2024.
    <a href="https://doi.org/10.1093/imrn/rnae092">https://doi.org/10.1093/imrn/rnae092</a>.
  ieee: M. Wirth, “Modular completely Dirichlet forms as squares of derivations,”
    <i>International Mathematics Research Notices</i>, vol. 2024, no. 14. Oxford University
    Press, pp. 10597–10614, 2024.
  ista: Wirth M. 2024. Modular completely Dirichlet forms as squares of derivations.
    International Mathematics Research Notices. 2024(14), 10597–10614.
  mla: Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.”
    <i>International Mathematics Research Notices</i>, vol. 2024, no. 14, Oxford University
    Press, 2024, pp. 10597–614, doi:<a href="https://doi.org/10.1093/imrn/rnae092">10.1093/imrn/rnae092</a>.
  short: M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-01-27T12:36:10Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-10-02T12:21:50Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1093/imrn/rnae092
external_id:
  isi:
  - '001222279400001'
file:
- access_level: open_access
  checksum: 3e1f80d58ada0c60a58f35df8080967e
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-27T12:38:10Z
  date_updated: 2025-01-27T12:38:10Z
  file_id: '18901'
  file_name: 2024_IMRN_Wirth.pdf
  file_size: 689984
  relation: main_file
  success: 1
file_date_updated: 2025-01-27T12:38:10Z
fulldoi: https://doi.org/10.1093/imrn/rnae092
has_accepted_license: '1'
intvolume: '      2024'
isi: 1
issue: '14'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 10597-10614
project:
- _id: 34c6ea2d-11ca-11ed-8bc3-c04f3c502833
  grant_number: ESP156_N
  name: Gradient flow techniques for quantum Markov semigroups
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Modular completely Dirichlet forms as squares of derivations
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: 2024
year: '2024'
...
---
OA_place: repository
_id: '17352'
abstract:
- lang: eng
  text: "We prove upper bounds on the $L^\\infty$-Wasserstein distance from optimal\r\ntransport
    between strongly log-concave probability densities and log-Lipschitz\r\nperturbations.
    In the simplest setting, such a bound amounts to a\r\ntransport-information inequality
    involving the $L^\\infty$-Wasserstein metric\r\nand the relative $L^\\infty$-Fisher
    information. We show that this inequality\r\ncan be sharpened significantly in
    situations where the involved densities are\r\nanisotropic. Our proof is based
    on probabilistic techniques using Langevin\r\ndynamics. As an application of these
    results, we obtain sharp exponential rates\r\nof convergence in Fisher's infinitesimal
    model from quantitative genetics,\r\ngeneralising recent results by Calvez, Poyato,
    and Santambrogio in dimension 1\r\nto arbitrary dimensions."
article_number: '2402.04151'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Francesco
  full_name: Pedrotti, Francesco
  id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  last_name: Pedrotti
citation:
  ama: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave
    measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2402.04151">10.48550/arXiv.2402.04151</a>
  apa: Khudiakova, K., Maas, J., &#38; Pedrotti, F. (n.d.). L∞-optimal transport of
    anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal
    model. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2402.04151">https://doi.org/10.48550/arXiv.2402.04151</a>
  chicago: Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport
    of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal
    Model.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2402.04151">https://doi.org/10.48550/arXiv.2402.04151</a>.
  ieee: K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic
    log-concave measures and exponential convergence in Fisher’s infinitesimal model,”
    <i>arXiv</i>. .
  ista: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave
    measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151.
  mla: Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave
    Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>,
    2402.04151, doi:<a href="https://doi.org/10.48550/arXiv.2402.04151">10.48550/arXiv.2402.04151</a>.
  short: K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-07-31T08:07:40Z
date_published: 2024-02-07T00:00:00Z
date_updated: 2026-10-02T12:20:11Z
day: '07'
department:
- _id: JaMa
doi: 10.48550/arXiv.2402.04151
external_id:
  arxiv:
  - '2402.04151'
fulldoi: https://doi.org/10.48550/arXiv.2402.04151
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2402.04151
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8
  grant_number: '26293'
  name: The impact of deleterious mutations on small populations
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '20050'
    relation: later_version
    status: public
  - id: '17336'
    relation: dissertation_contains
    status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: L∞-optimal transport of anisotropic log-concave measures and exponential convergence
  in Fisher's infinitesimal model
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
_id: '18899'
abstract:
- lang: eng
  text: "The flourishing theory of classical optimal transport concerns mass transportation
    at minimal cost. This book introduces the reader to optimal transport on quantum
    structures, i.e., optimal transportation between quantum states and related non-commutative
    concepts of mass transportation. It contains lecture notes on\r\n\r\nclassical
    optimal transport and Wasserstein gradient flows\r\ndynamics and quantum optimal
    transport\r\nquantum couplings and many-body problems\r\nquantum channels and
    qubits\r\n\r\nThese notes are based on lectures given by the authors at the \"Optimal
    Transport on Quantum Structures\" School held at the Erdös Center in Budapest
    in the fall of 2022. The lecture notes are complemented by two survey chapters
    presenting the state of the art in different research areas of non-commutative
    optimal transport."
alternative_title:
- Bolyai Society Mathematical Studies
article_processing_charge: No
citation:
  ama: 'Maas J, Rademacher SAE, Titkos T, Virosztek D, eds. <i>Optimal Transport on
    Quantum Structures</i>. Vol 29. Cham: Springer Nature; 2024. doi:<a href="https://doi.org/10.1007/978-3-031-50466-2">10.1007/978-3-031-50466-2</a>'
  apa: 'Maas, J., Rademacher, S. A. E., Titkos, T., &#38; Virosztek, D. (Eds.). (2024).
    <i>Optimal Transport on Quantum Structures</i> (Vol. 29). Cham: Springer Nature.
    <a href="https://doi.org/10.1007/978-3-031-50466-2">https://doi.org/10.1007/978-3-031-50466-2</a>'
  chicago: 'Maas, Jan, Simone Anna Elvira Rademacher, Tamás Titkos, and Daniel Virosztek,
    eds. <i>Optimal Transport on Quantum Structures</i>. Vol. 29. BSMS. Cham: Springer
    Nature, 2024. <a href="https://doi.org/10.1007/978-3-031-50466-2">https://doi.org/10.1007/978-3-031-50466-2</a>.'
  ieee: 'J. Maas, S. A. E. Rademacher, T. Titkos, and D. Virosztek, Eds., <i>Optimal
    Transport on Quantum Structures</i>, vol. 29. Cham: Springer Nature, 2024.'
  ista: 'Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport
    on Quantum Structures, Cham: Springer Nature,p.'
  mla: Maas, Jan, et al., editors. <i>Optimal Transport on Quantum Structures</i>.
    Vol. 29, Springer Nature, 2024, doi:<a href="https://doi.org/10.1007/978-3-031-50466-2">10.1007/978-3-031-50466-2</a>.
  short: J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport
    on Quantum Structures, Springer Nature, Cham, 2024.
date_created: 2025-01-27T12:26:03Z
date_published: 2024-09-19T00:00:00Z
date_updated: 2026-10-02T12:21:19Z
day: '19'
department:
- _id: JaMa
doi: 10.1007/978-3-031-50466-2
editor:
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Tamás
  full_name: Titkos, Tamás
  last_name: Titkos
- first_name: Daniel
  full_name: Virosztek, Daniel
  id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
  last_name: Virosztek
  orcid: 0000-0003-1109-5511
fulldoi: https://doi.org/10.1007/978-3-031-50466-2
intvolume: '        29'
language:
- iso: eng
month: '09'
oa_version: None
place: Cham
publication_identifier:
  eisbn:
  - '9783031504662'
  eissn:
  - 2947-9460
  isbn:
  - '9783031504655'
  issn:
  - 1217-4696
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: BSMS
status: public
title: Optimal Transport on Quantum Structures
type: book_editor
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 29
year: '2024'
...
---
OA_place: repository
_id: '17353'
abstract:
- lang: eng
  text: "In this paper we derive estimates for the Hessian of the logarithm\r\n(log-Hessian)
    for solutions to the heat equation. For initial data in the form\r\nof log-Lipschitz
    perturbation of strongly log-concave measures, the log-Hessian\r\nadmits an explicit,
    uniform (in space) lower bound. This yields a new estimate\r\nfor the Lipschitz
    constant of a transport map pushing forward the standard\r\nGaussian to a measure
    in this class. Further connections are discussed with\r\nscore-based diffusion
    models and improved Gaussian logarithmic Sobolev\r\ninequalities. Finally, we
    show that assuming only fast decay of the tails of\r\nthe initial datum does not
    suffice to guarantee uniform log-Hessian upper\r\nbounds."
article_number: '2404.15205'
article_processing_charge: No
arxiv: 1
author:
- first_name: Giovanni
  full_name: Brigati, Giovanni
  id: 63ff57e8-1fbb-11ee-88f2-f558ffc59cf1
  last_name: Brigati
- first_name: Francesco
  full_name: Pedrotti, Francesco
  id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  last_name: Pedrotti
citation:
  ama: Brigati G, Pedrotti F. Heat flow, log-concavity, and Lipschitz transport maps.
    <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2404.15205">10.48550/arXiv.2404.15205</a>
  apa: Brigati, G., &#38; Pedrotti, F. (n.d.). Heat flow, log-concavity, and Lipschitz
    transport maps. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2404.15205">https://doi.org/10.48550/arXiv.2404.15205</a>
  chicago: Brigati, Giovanni, and Francesco Pedrotti. “Heat Flow, Log-Concavity, and
    Lipschitz Transport Maps.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2404.15205">https://doi.org/10.48550/arXiv.2404.15205</a>.
  ieee: G. Brigati and F. Pedrotti, “Heat flow, log-concavity, and Lipschitz transport
    maps,” <i>arXiv</i>. .
  ista: Brigati G, Pedrotti F. Heat flow, log-concavity, and Lipschitz transport maps.
    arXiv, 2404.15205.
  mla: Brigati, Giovanni, and Francesco Pedrotti. “Heat Flow, Log-Concavity, and Lipschitz
    Transport Maps.” <i>ArXiv</i>, 2404.15205, doi:<a href="https://doi.org/10.48550/arXiv.2404.15205">10.48550/arXiv.2404.15205</a>.
  short: G. Brigati, F. Pedrotti, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-07-31T08:17:14Z
date_published: 2024-05-08T00:00:00Z
date_updated: 2026-10-02T12:20:37Z
day: '08'
department:
- _id: JaMa
doi: 10.48550/arXiv.2404.15205
external_id:
  arxiv:
  - '2404.15205'
fulldoi: https://doi.org/10.48550/arXiv.2404.15205
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2404.15205
month: '05'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '20591'
    relation: later_version
    status: public
  - id: '17336'
    relation: dissertation_contains
    status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Heat flow, log-concavity, and Lipschitz transport maps
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '14251'
abstract:
- lang: eng
  text: The phytohormone auxin and its directional transport through tissues play
    a fundamental role in development of higher plants. This polar auxin transport
    predominantly relies on PIN-FORMED (PIN) auxin exporters. Hence, PIN polarization
    is crucial for development, but its evolution during the rise of morphological
    complexity in land plants remains unclear. Here, we performed a cross-species
    investigation by observing the trafficking and localization of endogenous and
    exogenous PINs in two bryophytes, Physcomitrium patens and Marchantia polymorpha,
    and in the flowering plant Arabidopsis thaliana. We confirmed that the GFP fusion
    did not compromise the auxin export function of all examined PINs by using radioactive
    auxin export assay and by observing the phenotypic changes in transgenic bryophytes.
    Endogenous PINs polarize to filamentous apices, while exogenous Arabidopsis PINs
    distribute symmetrically on the membrane in both bryophytes. In Arabidopsis root
    epidermis, bryophytic PINs show no defined polarity. Pharmacological interference
    revealed a strong cytoskeleton dependence of bryophytic but not Arabidopsis PIN
    polarization. The divergence of PIN polarization and trafficking is also observed
    within the bryophyte clade and between tissues of individual species. These results
    collectively reveal a divergence of PIN trafficking and polarity mechanisms throughout
    land plant evolution and a co-evolution of PIN sequence-based and cell-based polarity
    mechanisms.
acknowledgement: This work was supported by the ERC grant (PR1023ERC02) to H. T. and
  J. F., and by the ministry of science and technology (grant number 110-2636-B-005-001)
  to K. J. L.
article_number: '100669'
article_processing_charge: Yes
article_type: original
author:
- first_name: Han
  full_name: Tang, Han
  id: 19BDF720-25A0-11EA-AC6E-928F3DDC885E
  last_name: Tang
  orcid: 0000-0001-6152-6637
- first_name: KJ
  full_name: Lu, KJ
  last_name: Lu
- first_name: Y
  full_name: Zhang, Y
  last_name: Zhang
- first_name: YL
  full_name: Cheng, YL
  last_name: Cheng
- first_name: SL
  full_name: Tu, SL
  last_name: Tu
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Tang H, Lu K, Zhang Y, Cheng Y, Tu S, Friml J. Divergence of trafficking and
    polarization mechanisms for PIN auxin transporters during land plant evolution.
    <i>Plant Communications</i>. 2024;5(1). doi:<a href="https://doi.org/10.1016/j.xplc.2023.100669">10.1016/j.xplc.2023.100669</a>
  apa: Tang, H., Lu, K., Zhang, Y., Cheng, Y., Tu, S., &#38; Friml, J. (2024). Divergence
    of trafficking and polarization mechanisms for PIN auxin transporters during land
    plant evolution. <i>Plant Communications</i>. Elsevier. <a href="https://doi.org/10.1016/j.xplc.2023.100669">https://doi.org/10.1016/j.xplc.2023.100669</a>
  chicago: Tang, Han, KJ Lu, Y Zhang, YL Cheng, SL Tu, and Jiří Friml. “Divergence
    of Trafficking and Polarization Mechanisms for PIN Auxin Transporters during Land
    Plant Evolution.” <i>Plant Communications</i>. Elsevier, 2024. <a href="https://doi.org/10.1016/j.xplc.2023.100669">https://doi.org/10.1016/j.xplc.2023.100669</a>.
  ieee: H. Tang, K. Lu, Y. Zhang, Y. Cheng, S. Tu, and J. Friml, “Divergence of trafficking
    and polarization mechanisms for PIN auxin transporters during land plant evolution,”
    <i>Plant Communications</i>, vol. 5, no. 1. Elsevier, 2024.
  ista: Tang H, Lu K, Zhang Y, Cheng Y, Tu S, Friml J. 2024. Divergence of trafficking
    and polarization mechanisms for PIN auxin transporters during land plant evolution.
    Plant Communications. 5(1), 100669.
  mla: Tang, Han, et al. “Divergence of Trafficking and Polarization Mechanisms for
    PIN Auxin Transporters during Land Plant Evolution.” <i>Plant Communications</i>,
    vol. 5, no. 1, 100669, Elsevier, 2024, doi:<a href="https://doi.org/10.1016/j.xplc.2023.100669">10.1016/j.xplc.2023.100669</a>.
  short: H. Tang, K. Lu, Y. Zhang, Y. Cheng, S. Tu, J. Friml, Plant Communications
    5 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2023-09-01T11:32:02Z
date_published: 2024-01-08T00:00:00Z
date_updated: 2026-10-02T12:23:32Z
day: '08'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1016/j.xplc.2023.100669
ec_funded: 1
external_id:
  isi:
  - '001158054500001'
  pmid:
  - '37528584'
file:
- access_level: open_access
  checksum: edbc44c6d4a394d2bf70f92fdbb08f0a
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-30T12:59:57Z
  date_updated: 2024-01-30T12:59:57Z
  file_id: '14911'
  file_name: 2023_PlantCommunications_Tang.pdf
  file_size: 2825565
  relation: main_file
  success: 1
file_date_updated: 2024-01-30T12:59:57Z
fulldoi: https://doi.org/10.1016/j.xplc.2023.100669
has_accepted_license: '1'
intvolume: '         5'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 261099A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '742985'
  name: Tracing Evolution of Auxin Transport and Polarity in Plants
publication: Plant Communications
publication_identifier:
  issn:
  - 2590-3462
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Divergence of trafficking and polarization mechanisms for PIN auxin transporters
  during land plant evolution
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: 5
year: '2024'
...
---
_id: '14447'
abstract:
- lang: eng
  text: "Auxin belongs among major phytohormones and governs multiple aspects of plant
    growth and development. The establishment of auxin concentration gradients, determines,
    among other processes, plant organ positioning and growth responses to environmental
    stimuli.\r\nHerein we report the synthesis of new NBD- or DNS-labelled IAA derivatives
    and the elucidation of their biological activity, fluorescence properties and
    subcellular accumulation patterns in planta. These novel compounds did not show
    auxin-like activity, but instead antagonized physiological auxin effects. The
    DNS-labelled derivatives FL5 and FL6 showed strong anti-auxin activity in roots
    and hypocotyls, which also occurred at the level of gene transcription as confirmed
    by quantitative PCR analysis. The auxin antagonism of our derivatives was further
    demonstrated in vitro using an SPR-based binding assay. The NBD-labelled compound
    FL4 with the best fluorescence properties proved to be unsuitable to study auxin
    accumulation patterns in planta. On the other hand, the strongest anti-auxin activity
    possessing compounds FL5 and FL6 could be useful to study binding mechanisms to
    auxin receptors and for manipulations of auxin-regulated processes."
acknowledgement: The authors would like to thank Karolína Kubiasová and Iñigo Saiz-Fernández
  for valuable scientific discussions. Open access publishing supported by the National
  Technical Library in Prague. This work was supported by the Palacký University Olomouc
  Young Researcher Grant Competition (JG_2020_002), by the Internal Grant Agency of
  Palacký University Olomouc (IGA_PrF_2023_016, IGA_PrF_2023_031), by the Ministry
  of Education, Youth and Sports of the Czech Republic through the European Regional
  Development Fund-Project Plants as a tool for sustainable global development (CZ.02.1.01/0.0/0.0/16_019/0000827)
  and the project Support of mobility at Palacký University Olomouc II. (CZ.02.2.69/0.0/0.0/18_053/0016919).
  The Biacore T200 SPR instrument was provided by the WISB Research Technology Facility
  within the School of Life Sciences, University of Warwick.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Kristýna
  full_name: Bieleszová, Kristýna
  last_name: Bieleszová
- first_name: Pavel
  full_name: Hladík, Pavel
  last_name: Hladík
- first_name: Martin
  full_name: Kubala, Martin
  last_name: Kubala
- first_name: Richard
  full_name: Napier, Richard
  last_name: Napier
- first_name: Federica
  full_name: Brunoni, Federica
  last_name: Brunoni
- first_name: Zuzana
  full_name: Gelová, Zuzana
  id: 0AE74790-0E0B-11E9-ABC7-1ACFE5697425
  last_name: Gelová
  orcid: 0000-0003-4783-1752
- first_name: Lukas
  full_name: Fiedler, Lukas
  id: 7c417475-8972-11ed-ae7b-8b674ca26986
  last_name: Fiedler
- first_name: Ivan
  full_name: Kulich, Ivan
  id: 57a1567c-8314-11eb-9063-c9ddc3451a54
  last_name: Kulich
- first_name: Miroslav
  full_name: Strnad, Miroslav
  last_name: Strnad
- first_name: Karel
  full_name: Doležal, Karel
  last_name: Doležal
- first_name: Ondřej
  full_name: Novák, Ondřej
  last_name: Novák
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Asta
  full_name: Žukauskaitė, Asta
  last_name: Žukauskaitė
citation:
  ama: 'Bieleszová K, Hladík P, Kubala M, et al. New fluorescent auxin derivatives:
    Anti-auxin activity and accumulation patterns in Arabidopsis thaliana. <i>Plant
    Growth Regulation</i>. 2024;102:589-602. doi:<a href="https://doi.org/10.1007/s10725-023-01083-0">10.1007/s10725-023-01083-0</a>'
  apa: 'Bieleszová, K., Hladík, P., Kubala, M., Napier, R., Brunoni, F., Gelová, Z.,
    … Žukauskaitė, A. (2024). New fluorescent auxin derivatives: Anti-auxin activity
    and accumulation patterns in Arabidopsis thaliana. <i>Plant Growth Regulation</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s10725-023-01083-0">https://doi.org/10.1007/s10725-023-01083-0</a>'
  chicago: 'Bieleszová, Kristýna, Pavel Hladík, Martin Kubala, Richard Napier, Federica
    Brunoni, Zuzana Gelová, Lukas Fiedler, et al. “New Fluorescent Auxin Derivatives:
    Anti-Auxin Activity and Accumulation Patterns in Arabidopsis Thaliana.” <i>Plant
    Growth Regulation</i>. Springer Nature, 2024. <a href="https://doi.org/10.1007/s10725-023-01083-0">https://doi.org/10.1007/s10725-023-01083-0</a>.'
  ieee: 'K. Bieleszová <i>et al.</i>, “New fluorescent auxin derivatives: Anti-auxin
    activity and accumulation patterns in Arabidopsis thaliana,” <i>Plant Growth Regulation</i>,
    vol. 102. Springer Nature, pp. 589–602, 2024.'
  ista: 'Bieleszová K, Hladík P, Kubala M, Napier R, Brunoni F, Gelová Z, Fiedler
    L, Kulich I, Strnad M, Doležal K, Novák O, Friml J, Žukauskaitė A. 2024. New fluorescent
    auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis
    thaliana. Plant Growth Regulation. 102, 589–602.'
  mla: 'Bieleszová, Kristýna, et al. “New Fluorescent Auxin Derivatives: Anti-Auxin
    Activity and Accumulation Patterns in Arabidopsis Thaliana.” <i>Plant Growth Regulation</i>,
    vol. 102, Springer Nature, 2024, pp. 589–602, doi:<a href="https://doi.org/10.1007/s10725-023-01083-0">10.1007/s10725-023-01083-0</a>.'
  short: K. Bieleszová, P. Hladík, M. Kubala, R. Napier, F. Brunoni, Z. Gelová, L.
    Fiedler, I. Kulich, M. Strnad, K. Doležal, O. Novák, J. Friml, A. Žukauskaitė,
    Plant Growth Regulation 102 (2024) 589–602.
das_tickbox: '1'
dataavailabilitystatement: The data that supports the findings of this study are available
  from the corresponding authors upon reasonable request.
date_created: 2023-10-22T22:01:15Z
date_published: 2024-04-01T00:00:00Z
date_updated: 2026-10-02T12:24:54Z
day: '01'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1007/s10725-023-01083-0
external_id:
  isi:
  - '001084334300001'
file:
- access_level: open_access
  checksum: e63271b1d57c1f03c1d993fd62cba59c
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  creator: dernst
  date_created: 2024-07-16T08:13:24Z
  date_updated: 2024-07-16T08:13:24Z
  file_id: '17252'
  file_name: 2024_PlantGrowthReg_Bieleszova.pdf
  file_size: 2847929
  relation: main_file
  success: 1
file_date_updated: 2024-07-16T08:13:24Z
fulldoi: https://doi.org/10.1007/s10725-023-01083-0
has_accepted_license: '1'
intvolume: '       102'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 589-602
publication: Plant Growth Regulation
publication_identifier:
  eissn:
  - 1573-5087
  issn:
  - 0167-6903
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: upon request
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns
  in Arabidopsis thaliana'
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: 102
year: '2024'
...
---
DOAJ_listed: '1'
_id: '17048'
abstract:
- lang: eng
  text: A key mechanism employed by plants to adapt to salinity stress involves maintaining
    ion homeostasis via the actions of ion transporters. While the function of cation
    transporters in maintaining ion homeostasis in plants has been extensively studied,
    little is known about the roles of their anion counterparts in this process. Here,
    we describe a mechanism of salt adaptation in plants. We characterized the chloride
    channel (CLC) gene AtCLCf, whose expression is regulated by WRKY transcription
    factor under salt stress in Arabidopsis thaliana. Loss-of-function atclcf seedlings
    show increased sensitivity to salt, whereas AtCLCf overexpression confers enhanced
    resistance to salt stress. Salt stress induces the translocation of GFP-AtCLCf
    fusion protein to the plasma membrane (PM). Blocking AtCLCf translocation using
    the exocytosis inhibitor brefeldin-A or mutating the small GTPase gene AtRABA1b/BEX5
    (RAS GENES FROM RAT BRAINA1b homolog) increases salt sensitivity in plants. Electrophysiology
    and liposome-based assays confirm the Cl−/H+ antiport function of AtCLCf. Therefore,
    we have uncovered a mechanism of plant adaptation to salt stress involving the
    NaCl-induced translocation of AtCLCf to the PM, thus facilitating Cl− removal
    at the roots, and increasing the plant’s salinity tolerance.
acknowledgement: The authors thank Drs. Akihiko Nakano and Tomohiro Uemura (RIKEN
  and Ochanomizu University, Japan) for providing plant material (seeds of GFP-RABA1bQ72L
  GFP-RABA1bS27N), Dr. Prakash Arumugam (SIFBI, A*STAR, Singapore) for providing the
  yeast strains used in this study, and Dr. Jobichen Chacko for help with homology
  model building. We thank Prof. Elliot Meyerowitz (Caltech) and Dr. On Sun Lau (NUS)
  for critical reading of our manuscript. The National University of Singapore provided
  partial financial support as grant number A−8000149-03-00, and PhD research scholarship
  to S.R.
article_number: '3978'
article_processing_charge: Yes
article_type: original
author:
- first_name: Sivamathini
  full_name: Rajappa, Sivamathini
  last_name: Rajappa
- first_name: Pannaga
  full_name: Krishnamurthy, Pannaga
  last_name: Krishnamurthy
- first_name: Hua
  full_name: Huang, Hua
  last_name: Huang
- first_name: Dejie
  full_name: Yu, Dejie
  last_name: Yu
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Jian
  full_name: Xu, Jian
  last_name: Xu
- first_name: Prakash P.
  full_name: Kumar, Prakash P.
  last_name: Kumar
citation:
  ama: Rajappa S, Krishnamurthy P, Huang H, et al. The translocation of a chloride
    channel from the Golgi to the plasma membrane helps plants adapt to salt stress.
    <i>Nature Communications</i>. 2024;15. doi:<a href="https://doi.org/10.1038/s41467-024-48234-z">10.1038/s41467-024-48234-z</a>
  apa: Rajappa, S., Krishnamurthy, P., Huang, H., Yu, D., Friml, J., Xu, J., &#38;
    Kumar, P. P. (2024). The translocation of a chloride channel from the Golgi to
    the plasma membrane helps plants adapt to salt stress. <i>Nature Communications</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41467-024-48234-z">https://doi.org/10.1038/s41467-024-48234-z</a>
  chicago: Rajappa, Sivamathini, Pannaga Krishnamurthy, Hua Huang, Dejie Yu, Jiří
    Friml, Jian Xu, and Prakash P. Kumar. “The Translocation of a Chloride Channel
    from the Golgi to the Plasma Membrane Helps Plants Adapt to Salt Stress.” <i>Nature
    Communications</i>. Springer Nature, 2024. <a href="https://doi.org/10.1038/s41467-024-48234-z">https://doi.org/10.1038/s41467-024-48234-z</a>.
  ieee: S. Rajappa <i>et al.</i>, “The translocation of a chloride channel from the
    Golgi to the plasma membrane helps plants adapt to salt stress,” <i>Nature Communications</i>,
    vol. 15. Springer Nature, 2024.
  ista: Rajappa S, Krishnamurthy P, Huang H, Yu D, Friml J, Xu J, Kumar PP. 2024.
    The translocation of a chloride channel from the Golgi to the plasma membrane
    helps plants adapt to salt stress. Nature Communications. 15, 3978.
  mla: Rajappa, Sivamathini, et al. “The Translocation of a Chloride Channel from
    the Golgi to the Plasma Membrane Helps Plants Adapt to Salt Stress.” <i>Nature
    Communications</i>, vol. 15, 3978, Springer Nature, 2024, doi:<a href="https://doi.org/10.1038/s41467-024-48234-z">10.1038/s41467-024-48234-z</a>.
  short: S. Rajappa, P. Krishnamurthy, H. Huang, D. Yu, J. Friml, J. Xu, P.P. Kumar,
    Nature Communications 15 (2024).
das_tickbox: '1'
dataavailabilitystatement: All data are available in the main text or the supplementary
  materials. Source data are provided with this paper.
date_created: 2024-05-26T22:00:57Z
date_published: 2024-05-10T00:00:00Z
date_updated: 2026-10-02T12:26:55Z
day: '10'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1038/s41467-024-48234-z
external_id:
  isi:
  - '001221549300004'
  pmid:
  - '38729926'
file:
- access_level: open_access
  checksum: 79aacbe31cf7626b78da062b1339bdb0
  content_type: application/pdf
  creator: dernst
  date_created: 2024-05-27T07:43:46Z
  date_updated: 2024-05-27T07:43:46Z
  file_id: '17056'
  file_name: 2024_NatureComm_Rajappa.pdf
  file_size: 20961818
  relation: main_file
  success: 1
file_date_updated: 2024-05-27T07:43:46Z
fulldoi: https://doi.org/10.1038/s41467-024-48234-z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: yes (supplementary data)
scopus_import: '1'
status: public
supplementarymaterial: yes
title: The translocation of a chloride channel from the Golgi to the plasma membrane
  helps plants adapt to salt stress
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: 15
year: '2024'
...
