---
OA_place: publisher
_id: '18667'
abstract:
- lang: eng
text: "Many chemical and physical properties of materials are determined by the
material’s shape,\r\nfor example the size of its pores and the width of its tunnels.
This makes materials science\r\na prime application area for geometrical and topological
methods. Nevertheless many\r\nmethods in topological data analysis have not been
satisfyingly extended to the needs of\r\nmaterials science. This thesis provides
new methods and new mathematical theorems\r\ntargeted at those specific needs
by answering four different research questions. While the\r\nmotivation for each
of the research questions arises from materials science, the methods\r\nare versatile
and can be applied in different areas as well. \r\n\r\nThe first research question
is concerned with image data, for example a three-dimensional\r\ncomputed tomography
(CT) scan of a material, like sand or stone. There are two commonly\r\nused topologies
for digital images and depending on the application either of them might be\r\nrequired.
However, software for computing the topological data analysis method persistence\r\nhomology,
usually supports only one of the two topologies. We answer the question how to\r\ncompute
persistent homology of an image with respect to one of the two topologies using\r\nsoftware
that is intended for the other topology. \r\n\r\nThe second research question
is concerned with image data as well, and asks how much\r\nof the topological
information of an image is lost when the resolution is coarsened. As\r\ncomputer
tomography scanners are more expensive the higher the resolution, it is an\r\nimportant
question in materials science to know which resolution is enough to get satisfying\r\npersistent
homology. We give theoretical bounds on the information loss based on different\r\ngeometrical
properties of the object to be scanned. In addition, we conduct experiments on\r\nsand
and stone CT image data. \r\n\r\nThe third research question is motivated by comparing
crystalline materials efficiently. As\r\nthe atoms within a crystal repeat periodically,
crystalline materials are either modeled by\r\nunmanageable infinite periodic
point sets, or by one of their fundamental domains, which is\r\nunstable under
perturbation. Therefore a fingerprint of crystalline materials is needed, with\r\nappropriate
properties such that comparing the crystals can be eased by comparing the\r\nfingerprints
instead. We define the density fingerprint and prove the necessary properties.
\r\n\r\nThe fourth research question is motivated by studying the hole-structure
or connectedness,\r\ni.e. persistent homology or merge trees, of crystalline materials.
A common way to deal\r\nwith periodicity is to take a fundamental domain and identify
opposite boundaries to form a\r\ntorus. However, computing persistent homology
or merge trees on that torus loses some\r\nof the information materials scientists
are interested in and is additionally not stable under\r\ncertain noise. We therefore
decorate the merge tree stemming from the torus with additional\r\ninformation
describing the density and growth rate of the periodic copies of a component\r\nwithin
a growing spherical window. We prove all desired properties, like stability and
efficient\r\ncomputability."
acknowledgement: "I was supported by the European Research Council (ERC) Horizon 2020
project\r\n“Alpha Shape Theory Extended” No. 788183 and by the Pöttinger Scholarship.
In addition,\r\nI am very thankful for having been able to attend the second Workshop
for Women in\r\nComputational Topology in July 2019, funded by the Mathematical
Sciences Institute at\r\nANU, the US National Science Foundation through the award
CCF-1841455, the Australian\r\nMathematical Sciences Institute and the Association
for Women in Mathematics. Two of the\r\nprojects presented in this thesis started
there. One of them reached completion thanks to\r\nfunding from the MSRI Summer
Research in Mathematics program awarded to me and my\r\ncollaborators in 2020."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Teresa
full_name: Heiss, Teresa
id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
last_name: Heiss
orcid: 0000-0002-1780-2689
citation:
ama: Heiss T. New methods for applying topological data analysis to materials science.
2024. doi:10.15479/at:ista:18667
apa: Heiss, T. (2024). New methods for applying topological data analysis to
materials science. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18667
chicago: Heiss, Teresa. “New Methods for Applying Topological Data Analysis to Materials
Science.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:18667.
ieee: T. Heiss, “New methods for applying topological data analysis to materials
science,” Institute of Science and Technology Austria, 2024.
ista: Heiss T. 2024. New methods for applying topological data analysis to materials
science. Institute of Science and Technology Austria.
mla: Heiss, Teresa. New Methods for Applying Topological Data Analysis to Materials
Science. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18667.
short: T. Heiss, New Methods for Applying Topological Data Analysis to Materials
Science, Institute of Science and Technology Austria, 2024.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-12-17T16:17:55Z
date_published: 2024-12-17T00:00:00Z
date_updated: 2026-10-02T11:55:42Z
day: '17'
ddc:
- '514'
- '516'
- '004'
degree_awarded: PhD
department:
- _id: GradSch
- _id: HeEd
doi: 10.15479/at:ista:18667
doi_confirm: '1'
ec_funded: 1
file:
- access_level: open_access
checksum: 247bb057aed2fba1cd4711917aaa2d77
content_type: application/pdf
creator: theiss
date_created: 2024-12-19T10:24:46Z
date_updated: 2024-12-19T10:24:46Z
file_id: '18686'
file_name: Teresa_Heiss_PhD_Thesis_final.pdf
file_size: 7752253
relation: main_file
success: 1
- access_level: closed
checksum: 9648b45c07a008ee11a07f99856a139d
content_type: application/zip
creator: theiss
date_created: 2024-12-19T10:24:50Z
date_updated: 2024-12-19T10:24:50Z
file_id: '18687'
file_name: PhD_Thesis.zip
file_size: 17197731
relation: source_file
file_date_updated: 2024-12-19T10:24:50Z
fulldoi: https://doi.org/10.15479/at:ista:18667
has_accepted_license: '1'
keyword:
- persistent homology
- topological data analysis
- periodic
- crystalline materials
- images
- fingerprint
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '111'
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
publication_identifier:
isbn:
- 978-3-99078-052-7
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '10828'
relation: part_of_dissertation
status: public
- id: '11440'
relation: part_of_dissertation
status: public
- id: '9345'
relation: part_of_dissertation
status: public
- id: '18673'
relation: part_of_dissertation
status: public
researchdata_availability: no
status: public
supervisor:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
supplementarymaterial: no
title: New methods for applying topological data analysis to materials science
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: dissertation
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
OA_place: publisher
_id: '15094'
abstract:
- lang: eng
text: "Point sets, geometric networks, and arrangements of hyperplanes are fundamental
objects in\r\ndiscrete geometry that have captivated mathematicians for centuries,
if not millennia. This\r\nthesis seeks to cast new light on these structures by
illustrating specific instances where a\r\ntopological perspective, specifically
through discrete Morse theory and persistent homology,\r\nprovides valuable insights.\r\n\r\nAt
first glance, the topology of these geometric objects might seem uneventful: point
sets\r\nessentially lack of topology, arrangements of hyperplanes are a decomposition
of Rd, which\r\nis a contractible space, and the topology of a network primarily
involves the enumeration\r\nof connected components and cycles within the network.
However, beneath this apparent\r\nsimplicity, there lies an array of intriguing
structures, a small subset of which will be uncovered\r\nin this thesis.\r\n\r\nFocused
on three case studies, each addressing one of the mentioned objects, this work\r\nwill
showcase connections that intertwine topology with diverse fields such as combinatorial\r\ngeometry,
algorithms and data structures, and emerging applications like spatial biology.\r\n\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
citation:
ama: Cultrera di Montesano S. Persistence and Morse theory for discrete geometric
structures. 2024. doi:10.15479/at:ista:15094
apa: Cultrera di Montesano, S. (2024). Persistence and Morse theory for discrete
geometric structures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:15094
chicago: Cultrera di Montesano, Sebastiano. “Persistence and Morse Theory for Discrete
Geometric Structures.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:15094.
ieee: S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric
structures,” Institute of Science and Technology Austria, 2024.
ista: Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric
structures. Institute of Science and Technology Austria.
mla: Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete
Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
short: S. Cultrera di Montesano, Persistence and Morse Theory for Discrete Geometric
Structures, Institute of Science and Technology Austria, 2024.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-03-08T15:28:10Z
date_published: 2024-03-08T00:00:00Z
date_updated: 2026-10-02T11:57:31Z
day: '08'
ddc:
- '514'
- '500'
- '516'
degree_awarded: PhD
department:
- _id: GradSch
- _id: HeEd
doi: 10.15479/at:ista:15094
doi_confirm: '1'
ec_funded: 1
file:
- access_level: open_access
checksum: 1e468bfa42a7dcf04d89f4dadc621c87
content_type: application/pdf
creator: scultrer
date_created: 2024-03-14T08:55:07Z
date_updated: 2024-03-14T08:55:07Z
file_id: '15112'
file_name: Thesis Sebastiano.pdf
file_size: 4106872
relation: main_file
success: 1
- access_level: closed
checksum: bcbd213490f5a7e68855a092bbce93f1
content_type: application/zip
creator: scultrer
date_created: 2024-03-14T08:56:24Z
date_updated: 2024-03-14T14:14:35Z
file_id: '15113'
file_name: Thesis (1).zip
file_size: 4746234
relation: source_file
file_date_updated: 2024-03-14T14:14:35Z
fulldoi: https://doi.org/10.15479/at:ista:15094
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-sa/4.0/
month: '03'
oa: 1
oa_version: Published Version
page: '108'
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: Mathematics, Computer Science
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Persistent Homology, Algorithms and Stochastic Geometry
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '15090'
relation: part_of_dissertation
status: public
- id: '11658'
relation: part_of_dissertation
status: public
- id: '11660'
relation: part_of_dissertation
status: public
- id: '13182'
relation: part_of_dissertation
status: public
- id: '15091'
relation: part_of_dissertation
status: public
- id: '15093'
relation: part_of_dissertation
status: public
researchdata_availability: no
status: public
supervisor:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
supplementarymaterial: no
title: Persistence and Morse theory for discrete geometric structures
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
_id: '15093'
abstract:
- lang: eng
text: We present a dynamic data structure for maintaining the persistent homology
of a time series of real numbers. The data structure supports local operations,
including the insertion and deletion of an item and the cutting and concatenating
of lists, each in time O(log n + k), in which n counts the critical items and
k the changes in the augmented persistence diagram. To achieve this, we design
a tailor-made tree structure with an unconventional representation, referred to
as banana tree, which may be useful in its own right.
acknowledgement: The first and second authors are funded by the European Research Council under the
European Union’s Horizon 2020 research and innovation programme, ERC grant no. 788183,“Alpha
Shape Theory Extended (Alpha)”, by the Wittgenstein Prize, FWF grant no. Z 342-N31,
and by the DFG Collaborative Research Center TRR 109, FWF grant no. I 02979-N35.The
third author received funding by the European Research Council under the European
Union’s Horizon 2020research and innovation programme, ERC grant no. 101019564, “The Design of Modern Fully Dynamic DataStructures
(MoDynStruct)”, and by the Austrian Science Fund through the Wittgenstein Prize
with FWF grant no. Z 422-N, and also by FWF grant no. I 5982-N, and by FWF grant
no. P 33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024. The
fourth author is funded by the Vienna Graduate School on Computational Optimization,
FWF project no. W1260-N35.
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Lara
full_name: Ost, Lara
last_name: Ost
citation:
ama: 'Cultrera di Montesano S, Edelsbrunner H, Henzinger M, Ost L. Dynamically maintaining
the persistent homology of time series. In: Woodruff DP, ed. Proceedings of
the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). Society
for Industrial and Applied Mathematics; 2024:243-295. doi:10.1137/1.9781611977912.11'
apa: 'Cultrera di Montesano, S., Edelsbrunner, H., Henzinger, M., & Ost, L.
(2024). Dynamically maintaining the persistent homology of time series. In D.
P. Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete
Algorithms (SODA) (pp. 243–295). Alexandria, VA, USA: Society for Industrial
and Applied Mathematics. https://doi.org/10.1137/1.9781611977912.11'
chicago: Cultrera di Montesano, Sebastiano, Herbert Edelsbrunner, Monika Henzinger,
and Lara Ost. “Dynamically Maintaining the Persistent Homology of Time Series.”
In Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms
(SODA), edited by David P. Woodruff, 243–95. Society for Industrial and Applied
Mathematics, 2024. https://doi.org/10.1137/1.9781611977912.11.
ieee: S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically
maintaining the persistent homology of time series,” in Proceedings of the
2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria,
VA, USA, 2024, pp. 243–295.
ista: 'Cultrera di Montesano S, Edelsbrunner H, Henzinger M, Ost L. 2024. Dynamically
maintaining the persistent homology of time series. Proceedings of the 2024 Annual
ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete
Algorithms, 243–295.'
mla: Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent
Homology of Time Series.” Proceedings of the 2024 Annual ACM-SIAM Symposium
on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial
and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.
short: S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, L. Ost, in:, D.P.
Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete
Algorithms (SODA), Society for Industrial and Applied Mathematics, 2024, pp. 243–295.
conference:
end_date: 2024-01-10
location: Alexandria, VA, USA
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2024-01-07
corr_author: '1'
das_tickbox: '0'
date_created: 2024-03-08T10:27:39Z
date_published: 2024-01-04T00:00:00Z
date_updated: 2026-10-02T11:57:32Z
day: '04'
department:
- _id: HeEd
- _id: MoHe
doi: 10.1137/1.9781611977912.11
ec_funded: 1
editor:
- first_name: David P.
full_name: Woodruff, David P.
last_name: Woodruff
external_id:
arxiv:
- '2311.01115'
fulldoi: https://doi.org/10.1137/1.9781611977912.11
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2311.01115
month: '01'
oa: 1
oa_version: Preprint
page: 243 - 295
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: Mathematics, Computer Science
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
call_identifier: H2020
grant_number: '101019564'
name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
grant_number: Z00422
name: Efficient algorithms
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
grant_number: P33775
name: Fast Algorithms for a Reactive Network Layer
publication: Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms
(SODA)
publication_identifier:
eisbn:
- '9781611977912'
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
related_material:
record:
- id: '15094'
relation: dissertation_contains
status: public
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Dynamically maintaining the persistent homology of time series
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
OA_place: repository
_id: '18981'
abstract:
- lang: eng
text: We establish several results combining discrete Morse theory and microlocal
sheaf theory in the setting of finite posets and simplicial complexes. Our primary
tool is a computationally tractable description of the bounded derived category
of sheaves on a poset with the Alexandrov topology. We prove that each bounded
complex of sheaves on a finite poset admits a unique (up to isomorphism of complexes)
minimal injective resolution, and we provide algorithms for computing minimal
injective resolution of an injective complex, as well as several useful functors
between derived categories of sheaves. For the constant sheaf on a simplicial
complex, we give asymptotically tight bounds on the complexity of computing the
minimal injective resolution using those algorithms. Our main result is a novel
definition of the discrete microsupport of a bounded complex of sheaves on a finite
poset. We detail several foundational properties of the discrete microsupport,
as well as a microlocal generalization of the discrete homological Morse theorem
and Morse inequalities.
acknowledgement: "This project has received funding from the European Research Council
(ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme,
grant no. 788183, from the Wittgenstein Prize,\r\nAustrian Science Fund (FWF), grant
no. Z 342-N31, and from the DFG Collaborative Research Center TRR\r\n109, ‘Discretization
in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35."
article_processing_charge: No
arxiv: 1
author:
- first_name: Adam
full_name: Brown, Adam
last_name: Brown
- first_name: Ondrej
full_name: Draganov, Ondrej
id: 2B23F01E-F248-11E8-B48F-1D18A9856A87
last_name: Draganov
orcid: 0000-0003-0464-3823
citation:
ama: Brown A, Draganov O. Discrete microlocal Morse theory. arXiv. doi:10.48550/arXiv.2209.14993
apa: Brown, A., & Draganov, O. (n.d.). Discrete microlocal Morse theory. arXiv.
https://doi.org/10.48550/arXiv.2209.14993
chicago: Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” ArXiv,
n.d. https://doi.org/10.48550/arXiv.2209.14993.
ieee: A. Brown and O. Draganov, “Discrete microlocal Morse theory,” arXiv.
.
ista: Brown A, Draganov O. Discrete microlocal Morse theory. arXiv, 10.48550/arXiv.2209.14993.
mla: Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” ArXiv,
doi:10.48550/arXiv.2209.14993.
short: A. Brown, O. Draganov, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-01-31T17:03:04Z
date_published: 2024-06-09T00:00:00Z
date_updated: 2026-10-02T11:57:00Z
day: '09'
department:
- _id: HeEd
doi: 10.48550/arXiv.2209.14993
ec_funded: 1
external_id:
arxiv:
- '2209.14993'
fulldoi: https://doi.org/10.48550/arXiv.2209.14993
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2209.14993
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: Mathematics, Computer Science
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: arXiv
publication_status: draft
related_material:
record:
- id: '20323'
relation: later_version
status: public
- id: '18979'
relation: dissertation_contains
status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Discrete microlocal Morse theory
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
OA_place: repository
_id: '18673'
abstract:
- lang: eng
text: "Motivated by applications to crystalline materials, we generalize the merge
tree and the related barcode of a filtered complex to the periodic setting in
Euclidean space. They are invariant under isometries, changing bases, and indeed
changing lattices. In addition, we prove stability under perturbations and provide
an algorithm that under mild geometric conditions typically satisfied by crystalline
materials takes O((n+m)logn) time, in which n and m are the numbers of vertices
and edges in the quotient complex, respectively.\r\n"
acknowledgement: "Both authors are partially supported by the European Research Council
(ERC) Horizon 2020 project\r\n‘Alpha Shape Theory Extended’, grant no. 788183. The
first author is also partially supported by the DFG\r\nCollaborative Research Center
TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund\r\n(FWF),
grant no. I 02979-N35."
article_processing_charge: No
arxiv: 1
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Teresa
full_name: Heiss, Teresa
id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
last_name: Heiss
orcid: 0000-0002-1780-2689
citation:
ama: Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv.
doi:10.48550/arXiv.2408.16575
apa: Edelsbrunner, H., & Heiss, T. (n.d.). Merge trees of periodic filtrations.
arXiv. https://doi.org/10.48550/arXiv.2408.16575
chicago: Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.”
ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16575.
ieee: H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” arXiv.
.
ista: Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv, 10.48550/arXiv.2408.16575.
mla: Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.”
ArXiv, doi:10.48550/arXiv.2408.16575.
short: H. Edelsbrunner, T. Heiss, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-12-18T14:06:57Z
date_published: 2024-08-29T00:00:00Z
date_updated: 2026-10-02T11:55:43Z
day: '29'
department:
- _id: HeEd
doi: 10.48550/arXiv.2408.16575
ec_funded: 1
external_id:
arxiv:
- '2408.16575'
fulldoi: https://doi.org/10.48550/arXiv.2408.16575
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2408.16575
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: arXiv
publication_status: draft
related_material:
record:
- id: '18667'
relation: dissertation_contains
status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Merge trees of periodic filtrations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
OA_place: repository
_id: '15091'
abstract:
- lang: eng
text: "Motivated by applications in the medical sciences, we study finite chromatic\r\nsets
in Euclidean space from a topological perspective. Based on the persistent\r\nhomology
for images, kernels and cokernels, we design provably stable\r\nhomological quantifiers
that describe the geometric micro- and macro-structure\r\nof how the color classes
mingle. These can be efficiently computed using\r\nchromatic variants of Delaunay
and alpha complexes, and code that does these\r\ncomputations is provided."
article_number: '2212.03128'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Ondrej
full_name: Draganov, Ondrej
id: 2B23F01E-F248-11E8-B48F-1D18A9856A87
last_name: Draganov
orcid: 0000-0003-0464-3823
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
id: f86f7148-b140-11ec-9577-95435b8df824
last_name: Saghafian
citation:
ama: Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic
alpha complexes. arXiv. doi:10.48550/arXiv.2212.03128
apa: Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian,
M. (n.d.). Chromatic alpha complexes. arXiv. https://doi.org/10.48550/arXiv.2212.03128
chicago: Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner,
and Morteza Saghafian. “Chromatic Alpha Complexes.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2212.03128.
ieee: S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian,
“Chromatic alpha complexes,” arXiv. .
ista: Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic
alpha complexes. arXiv, 2212.03128.
mla: Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv,
2212.03128, doi:10.48550/arXiv.2212.03128.
short: S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv
(n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-03-08T10:13:59Z
date_published: 2024-02-07T00:00:00Z
date_updated: 2026-10-02T11:56:13Z
day: '07'
department:
- _id: HeEd
doi: 10.48550/arXiv.2212.03128
external_id:
arxiv:
- '2212.03128'
fulldoi: https://doi.org/10.48550/arXiv.2212.03128
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2212.03128
month: '02'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '18979'
relation: dissertation_contains
status: public
- id: '20585'
relation: later_version
status: public
- id: '15094'
relation: dissertation_contains
status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Chromatic alpha complexes
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
APC_amount: 3080,76 EUR
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '18564'
abstract:
- lang: eng
text: The recently discovered Pa 30 nebula, the putative type Iax supernova remnant
associated with the historical supernova of 1181 AD, shows puzzling characteristics
that make it unique among known supernova remnants. In particular, Pa 30 exhibits
a complex morphology, with a unique radial and filamentary structure, and it hosts
a hot stellar remnant at its center, which displays oxygen-dominated, ultrafast
winds. Because of the surviving stellar remnant and the lack of hydrogen and helium
in its filaments, it has been suggested that Pa 30 is the product of a failed
thermonuclear explosion in a near- or super-Chandrasekhar white dwarf, which created
a subluminous transient, a rare subtype of the Ia class of supernovae called type
Iax. We present here a detailed study of the 3D structure and velocities of a
full radial section of the remnant. The Integral Field Unit observations, obtained
with the new red channel of the Keck Cosmic Web Imager spectrograph, reveal that
the ejecta are consistent with being ballistic, with velocities close to the free-expansion
velocity. Additionally, we detect a large cavity inside the supernova remnant
and a sharp inner edge to the filamentary structure, which coincides with the
outer edge of a bright ring detected in infrared images. Finally, we detect a
strong asymmetry in the amount of ejecta along the line of sight, which might
hint at an asymmetric explosion. Our analysis provides strong confirmation that
the explosion originated from SN 1181.
acknowledgement: "We thank Rob Fesen for providing the [S ii] narrowband imaging and
providing helpful comments on the Letter. We also thank Eliot Quartert for the helpful
discussions. T.C. was supported by NASA through the NASA Hubble Fellowship grant
HST-HF2-51527.001-A awarded by the Space Telescope Science Institute, which is operated
by the Association of Universities for Research in Astronomy, Inc., for NASA, under
contract NAS5-26555. I.C. was also supported by NASA through grants from the Space
Telescope Science Institute, under NASA contracts NASA.22K1813, NAS5-26555, and
NAS5-03127. This research was supported in part by grant NSF PHY-1748958 to the
Kavli Institute for Theoretical Physics (KITP). O.T. was supported by FONDECYT grant
11241186.\r\n\r\nThis publication makes use of data products from the Wide-field
Infrared Survey Explorer, which is a joint project of the University of California,
Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology,
funded by the National Aeronautics and Space Administration.\r\n\r\nThis research
made use of Montage. It is funded by the National Science Foundation under grant
No. ACI-1440620, and was previously funded by the National Aeronautics and Space
Administration's Earth Science Technology Office, Computation Technologies Project,
under Cooperative Agreement Number NCC5-626 between NASA and the California Institute
of Technology."
article_number: L7
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Tim
full_name: Cunningham, Tim
last_name: Cunningham
- first_name: Ilaria
full_name: Caiazzo, Ilaria
id: 8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d
last_name: Caiazzo
orcid: 0000-0002-4770-5388
- first_name: Nikolaus Z.
full_name: Prusinski, Nikolaus Z.
last_name: Prusinski
- first_name: James
full_name: Fuller, James
last_name: Fuller
- first_name: John C.
full_name: Raymond, John C.
last_name: Raymond
- first_name: S. R.
full_name: Kulkarni, S. R.
last_name: Kulkarni
- first_name: James D.
full_name: Neill, James D.
last_name: Neill
- first_name: Paul
full_name: Duffell, Paul
last_name: Duffell
- first_name: Chris
full_name: Martin, Chris
last_name: Martin
- first_name: Odette
full_name: Toloza, Odette
last_name: Toloza
- first_name: David
full_name: Charbonneau, David
last_name: Charbonneau
- first_name: Scott J.
full_name: Kenyon, Scott J.
last_name: Kenyon
- first_name: Zeren
full_name: Lin, Zeren
last_name: Lin
- first_name: Mateusz
full_name: Matuszewski, Mateusz
last_name: Matuszewski
- first_name: Rosalie
full_name: McGurk, Rosalie
last_name: McGurk
- first_name: Abigail
full_name: Polin, Abigail
last_name: Polin
- first_name: Philippe Z.
full_name: Yao, Philippe Z.
last_name: Yao
citation:
ama: Cunningham T, Caiazzo I, Prusinski NZ, et al. Expansion properties of the young
supernova type Iax remnant Pa 30 revealed. The Astrophysical Journal Letters.
2024;975(1). doi:10.3847/2041-8213/ad713b
apa: Cunningham, T., Caiazzo, I., Prusinski, N. Z., Fuller, J., Raymond, J. C.,
Kulkarni, S. R., … Yao, P. Z. (2024). Expansion properties of the young supernova
type Iax remnant Pa 30 revealed. The Astrophysical Journal Letters. IOP
Publishing. https://doi.org/10.3847/2041-8213/ad713b
chicago: Cunningham, Tim, Ilaria Caiazzo, Nikolaus Z. Prusinski, James Fuller, John
C. Raymond, S. R. Kulkarni, James D. Neill, et al. “Expansion Properties of the
Young Supernova Type Iax Remnant Pa 30 Revealed.” The Astrophysical Journal
Letters. IOP Publishing, 2024. https://doi.org/10.3847/2041-8213/ad713b.
ieee: T. Cunningham et al., “Expansion properties of the young supernova
type Iax remnant Pa 30 revealed,” The Astrophysical Journal Letters, vol.
975, no. 1. IOP Publishing, 2024.
ista: Cunningham T, Caiazzo I, Prusinski NZ, Fuller J, Raymond JC, Kulkarni SR,
Neill JD, Duffell P, Martin C, Toloza O, Charbonneau D, Kenyon SJ, Lin Z, Matuszewski
M, McGurk R, Polin A, Yao PZ. 2024. Expansion properties of the young supernova
type Iax remnant Pa 30 revealed. The Astrophysical Journal Letters. 975(1), L7.
mla: Cunningham, Tim, et al. “Expansion Properties of the Young Supernova Type Iax
Remnant Pa 30 Revealed.” The Astrophysical Journal Letters, vol. 975, no.
1, L7, IOP Publishing, 2024, doi:10.3847/2041-8213/ad713b.
short: T. Cunningham, I. Caiazzo, N.Z. Prusinski, J. Fuller, J.C. Raymond, S.R.
Kulkarni, J.D. Neill, P. Duffell, C. Martin, O. Toloza, D. Charbonneau, S.J. Kenyon,
Z. Lin, M. Matuszewski, R. McGurk, A. Polin, P.Z. Yao, The Astrophysical Journal
Letters 975 (2024).
das_tickbox: '0'
date_created: 2024-11-19T08:12:59Z
date_published: 2024-10-24T00:00:00Z
date_updated: 2026-10-02T11:57:59Z
day: '24'
ddc:
- '520'
department:
- _id: IlCa
doi: 10.3847/2041-8213/ad713b
external_id:
arxiv:
- '2410.10940'
isi:
- '001340831400001'
file:
- access_level: open_access
checksum: 51e790dd3d85ca984e656734f9f611da
content_type: application/pdf
creator: dernst
date_created: 2024-11-20T12:24:52Z
date_updated: 2024-11-20T12:24:52Z
file_id: '18573'
file_name: 2024_AstrophysJourLetters_Cunningham.pdf
file_size: 90328868
relation: main_file
success: 1
file_date_updated: 2024-11-20T12:24:52Z
fulldoi: https://doi.org/10.3847/2041-8213/ad713b
has_accepted_license: '1'
intvolume: ' 975'
isi: 1
issue: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: The Astrophysical Journal Letters
publication_identifier:
eissn:
- 2041-8213
issn:
- 2041-8205
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Expansion properties of the young supernova type Iax remnant Pa 30 revealed
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: 975
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18709'
abstract:
- lang: eng
text: We measure the mass distribution of main-sequence (MS) companions to hot subdwarf
B stars (sdBs) in post-common envelope binaries (PCEBs). We carried out a spectroscopic
survey of 14 eclipsing systems ("HW Vir binaries") with orbital periods of 3.8
< Porb < 12 hr, resulting in a well-understood selection function and a near-complete
sample of HW Vir binaries with G < 16. We constrain companion masses from the
radial velocity curves of the sdB stars. The companion mass distribution peaks
at MMS ≈ 0.15 M⊙ and drops off at MMS > 0.2 M⊙, with only two systems hosting
companions above the fully convective limit. There is no correlation between Porb
and MMS within the sample. A similar drop-off in the companion mass distribution
of white dwarf (WD) + MS PCEBs has been attributed to disrupted magnetic braking
(MB) below the fully convective limit. We compare the sdB companion mass distribution
to predictions of binary evolution simulations with a range of MB laws. Because
sdBs have short lifetimes compared to WDs, explaining the lack of higher-mass
MS companions to sdBs with disrupted MB requires MB to be boosted by a factor
of 20–100 relative to MB laws inferred from the rotation evolution of single stars.
We speculate that such boosting may be a result of irradiation-driven enhancement
of the MS stars' winds. An alternative possibility is that common envelope evolution
favors low-mass companions in short-period orbits, but the existence of massive
WD companions to sdBs with similar periods disfavors this scenario.
acknowledgement: "We thank the referee for their constructive comments. We also thank
Jim Fuller and Stefan Geier for helpful discussions. The Kavli Institute for Theoretical
Physics (KITP) hosted the program, \"White Dwarfs as Probes of the Evolution of
Planets, Stars, the Milky Way, and the Expanding Universe,\" during which this project
was initiated.\r\n\r\nThis research was supported in part by the U.S. National Science
Foundation (NSF) grant AST-2307232, and in part by grants PHY-1748958 and AST-2107070.\r\n\r\nThis
work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.cosmos.esa.int/gaia),
processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium).
Funding for the DPAC has been provided by national institutions, in particular the
institutions participating in the Gaia Multilateral Agreement.\r\n\r\nThis work
is based in part on observations obtained with the Samuel Oschin 48 inch Telescope
at the Palomar Observatory as part of the Zwicky Transient Facility project. ZTF
is supported by the NSF under grant AST-1440341 and a collaboration including Caltech,
IPAC, the Weizmann Institute for Science, the Oskar Klein Center at Stockholm University,
the University of Maryland, the University of Washington, Deutsches Elektronen-Synchrotron
and Humboldt University, Los Alamos National Laboratories, the TANGO Consortium
of Taiwan, the University of Wisconsin at Milwaukee, and the Lawrence Berkeley National
Laboratory. Operations are conducted by the Caltech Optical Observatories (COO),
the Infrared Processing and Analysis Center (IPAC), and the University of Washington
(UW).\r\n\r\nSome of the data presented herein were obtained at Keck Observatory,
which is a private 501(c)3 non-profit organization operated as a scientific partnership
among the California Institute of Technology, the University of California, and
the National Aeronautics and Space Administration. The Observatory was made possible
by the generous financial support of the W. M. Keck Foundation."
article_number: '124201'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lisa
full_name: Blomberg, Lisa
last_name: Blomberg
- first_name: Kareem
full_name: El-Badry, Kareem
last_name: El-Badry
- first_name: Katelyn
full_name: Breivik, Katelyn
last_name: Breivik
- first_name: Ilaria
full_name: Caiazzo, Ilaria
id: 8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d
last_name: Caiazzo
orcid: 0000-0002-4770-5388
- first_name: Pranav
full_name: Nagarajan, Pranav
last_name: Nagarajan
- first_name: Antonio
full_name: Rodriguez, Antonio
last_name: Rodriguez
- first_name: Jan
full_name: Van Roestel, Jan
last_name: Van Roestel
- first_name: Zachary P.
full_name: Vanderbosch, Zachary P.
last_name: Vanderbosch
- first_name: Natsuko
full_name: Yamaguchi, Natsuko
last_name: Yamaguchi
citation:
ama: 'Blomberg L, El-Badry K, Breivik K, et al. The companion mass distribution
of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted
magnetic braking? Publications of the Astronomical Society of the Pacific.
2024;136(12). doi:10.1088/1538-3873/ad94a2'
apa: 'Blomberg, L., El-Badry, K., Breivik, K., Caiazzo, I., Nagarajan, P., Rodriguez,
A., … Yamaguchi, N. (2024). The companion mass distribution of post common envelope
hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking? Publications
of the Astronomical Society of the Pacific. IOP Publishing. https://doi.org/10.1088/1538-3873/ad94a2'
chicago: 'Blomberg, Lisa, Kareem El-Badry, Katelyn Breivik, Ilaria Caiazzo, Pranav
Nagarajan, Antonio Rodriguez, Jan Van Roestel, Zachary P. Vanderbosch, and Natsuko
Yamaguchi. “The Companion Mass Distribution of Post Common Envelope Hot Subdwarf
Binaries: Evidence for Boosted and Disrupted Magnetic Braking?” Publications
of the Astronomical Society of the Pacific. IOP Publishing, 2024. https://doi.org/10.1088/1538-3873/ad94a2.'
ieee: 'L. Blomberg et al., “The companion mass distribution of post common
envelope hot subdwarf binaries: Evidence for boosted and disrupted magnetic braking?,”
Publications of the Astronomical Society of the Pacific, vol. 136, no.
12. IOP Publishing, 2024.'
ista: 'Blomberg L, El-Badry K, Breivik K, Caiazzo I, Nagarajan P, Rodriguez A, Van
Roestel J, Vanderbosch ZP, Yamaguchi N. 2024. The companion mass distribution
of post common envelope hot subdwarf binaries: Evidence for boosted and disrupted
magnetic braking? Publications of the Astronomical Society of the Pacific. 136(12),
124201.'
mla: 'Blomberg, Lisa, et al. “The Companion Mass Distribution of Post Common Envelope
Hot Subdwarf Binaries: Evidence for Boosted and Disrupted Magnetic Braking?” Publications
of the Astronomical Society of the Pacific, vol. 136, no. 12, 124201, IOP
Publishing, 2024, doi:10.1088/1538-3873/ad94a2.'
short: L. Blomberg, K. El-Badry, K. Breivik, I. Caiazzo, P. Nagarajan, A. Rodriguez,
J. Van Roestel, Z.P. Vanderbosch, N. Yamaguchi, Publications of the Astronomical
Society of the Pacific 136 (2024).
das_tickbox: '0'
date_created: 2024-12-29T23:01:57Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2026-10-02T11:58:30Z
day: '01'
ddc:
- '520'
department:
- _id: IlCa
doi: 10.1088/1538-3873/ad94a2
external_id:
arxiv:
- '2408.15334'
isi:
- '001379604600001'
file:
- access_level: open_access
checksum: 56fe719e26bc0c2a99ac5322791107e5
content_type: application/pdf
creator: dernst
date_created: 2025-01-02T09:34:25Z
date_updated: 2025-01-02T09:34:25Z
file_id: '18719'
file_name: 2024_PASP_Blomberg.pdf
file_size: 7539133
relation: main_file
success: 1
file_date_updated: 2025-01-02T09:34:25Z
fulldoi: https://doi.org/10.1088/1538-3873/ad94a2
has_accepted_license: '1'
intvolume: ' 136'
isi: 1
issue: '12'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '12'
oa: 1
oa_version: Published Version
publication: Publications of the Astronomical Society of the Pacific
publication_identifier:
issn:
- 0004-6280
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'The companion mass distribution of post common envelope hot subdwarf binaries:
Evidence for boosted and disrupted magnetic braking?'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 136
year: '2024'
...
---
DOAJ_listed: '1'
_id: '15372'
abstract:
- lang: eng
text: CRISPR-Cas9 is a powerful tool for genome editing, but the strict requirement
for an NGG protospacer-adjacent motif (PAM) sequence immediately next to the DNA
target limits the number of editable genes. Recently developed Cas9 variants have
been engineered with relaxed PAM requirements, including SpG-Cas9 (SpG) and the
nearly PAM-less SpRY-Cas9 (SpRY). However, the molecular mechanisms of how SpRY
recognizes all potential PAM sequences remains unclear. Here, we combine structural
and biochemical approaches to determine how SpRY interrogates DNA and recognizes
target sites. Divergent PAM sequences can be accommodated through conformational
flexibility within the PAM-interacting region, which facilitates tight binding
to off-target DNA sequences. Nuclease activation occurs ~1000-fold slower than
for Streptococcus pyogenes Cas9, enabling us to directly visualize multiple on-pathway
intermediate states. Experiments with SpG position it as an intermediate enzyme
between Cas9 and SpRY. Our findings shed light on the molecular mechanisms of
PAMless genome editing.
acknowledgement: We thank I. Stohkendl in the Taylor group for insightful discussions.
This work was supported in part by Welch Foundation grants F-1808 (to I.J.F.), and
F-1938 (to D.W.T.), the National Institutes of Health R01GM124141 (to I.J.F.), R01AI110577
(to K.A.J.), and R35GM138348 (to D.W.T.), and a Robert J. Kleberg, Jr. and Helen
C. Kleberg Foundation Medical Research Grant (to D.W.T.). The content is solely
the responsibility of the authors and does not necessarily represent the official
views of the National Institutes of Health.
article_number: '3663'
article_processing_charge: Yes
article_type: original
author:
- first_name: Grace N.
full_name: Hibshman, Grace N.
last_name: Hibshman
- 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
- first_name: Matthew M.
full_name: Hooper, Matthew M.
last_name: Hooper
- first_name: Tyler L.
full_name: Dangerfield, Tyler L.
last_name: Dangerfield
- first_name: Hongshan
full_name: Zhang, Hongshan
last_name: Zhang
- first_name: Ilya J.
full_name: Finkelstein, Ilya J.
last_name: Finkelstein
- first_name: Kenneth A.
full_name: Johnson, Kenneth A.
last_name: Johnson
- first_name: David W.
full_name: Taylor, David W.
last_name: Taylor
citation:
ama: Hibshman GN, Bravo JPK, Hooper MM, et al. Unraveling the mechanisms of PAMless
DNA interrogation by SpRY-Cas9. Nature Communications. 2024;15. doi:10.1038/s41467-024-47830-3
apa: Hibshman, G. N., Bravo, J. P. K., Hooper, M. M., Dangerfield, T. L., Zhang,
H., Finkelstein, I. J., … Taylor, D. W. (2024). Unraveling the mechanisms of PAMless
DNA interrogation by SpRY-Cas9. Nature Communications. Springer Nature.
https://doi.org/10.1038/s41467-024-47830-3
chicago: Hibshman, Grace N., Jack Peter Kelly Bravo, Matthew M. Hooper, Tyler L.
Dangerfield, Hongshan Zhang, Ilya J. Finkelstein, Kenneth A. Johnson, and David
W. Taylor. “Unraveling the Mechanisms of PAMless DNA Interrogation by SpRY-Cas9.”
Nature Communications. Springer Nature, 2024. https://doi.org/10.1038/s41467-024-47830-3.
ieee: G. N. Hibshman et al., “Unraveling the mechanisms of PAMless DNA interrogation
by SpRY-Cas9,” Nature Communications, vol. 15. Springer Nature, 2024.
ista: Hibshman GN, Bravo JPK, Hooper MM, Dangerfield TL, Zhang H, Finkelstein IJ,
Johnson KA, Taylor DW. 2024. Unraveling the mechanisms of PAMless DNA interrogation
by SpRY-Cas9. Nature Communications. 15, 3663.
mla: Hibshman, Grace N., et al. “Unraveling the Mechanisms of PAMless DNA Interrogation
by SpRY-Cas9.” Nature Communications, vol. 15, 3663, Springer Nature, 2024,
doi:10.1038/s41467-024-47830-3.
short: G.N. Hibshman, J.P.K. Bravo, M.M. Hooper, T.L. Dangerfield, H. Zhang, I.J.
Finkelstein, K.A. Johnson, D.W. Taylor, Nature Communications 15 (2024).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: The structures and associated atomic coordinates have been
deposited into the Electron Microscopy Data Bank (EMDB) and Protein Data Bank (PDB)
with accession codes SpRY NAC PAM 20 bp (EMD-40740 and PDB 8SRS), SpRY NGG PAM (EMD-40681
and PDB 8SPQ), SpRY NTC PAM (EMD-40705 and PDB 8SQH), SpRY NAC PAM 0 bp (EMD-41073
and PDB 8T6O), SpRY NAC PAM 2 bp (EMD-41074 and PDB 8T6P), SpRY NAC PAM 3 bp (EMD-41085
and PDB 8T76), SpRY NAC PAM 10 bp (EMD-41079 and PDB 8T6S), SpRY NAC PAM 13 bp (EMD-41080
and PDB 8T6T), SpRY NAC PAM 18 bp (EMD-41083 and PDB 8T6X), SpRY off-target 1 bp
(EMD-41084 and PDB 8T6Y), SpRY off-target 6* bp (EMD-41086 and PDB 8T77), SpRY off-target
8* bp (EMD-41087 and PDB 8T78), SpRY off-target 10* bp (EMD-41088 and PDB 8T79),
SpRYmer (EMD-41093 and PDB 8T7S), SpG NGG PAM (EMD-41867 and PDB 8U3Y), and SpG
NGC PAM (EMD-41775 and PDB 8TZZ). Source data are provided with this paper.
date_created: 2024-05-12T22:01:00Z
date_published: 2024-04-30T00:00:00Z
date_updated: 2026-10-02T12:00:51Z
day: '30'
ddc:
- '570'
department:
- _id: JaBr
doi: 10.1038/s41467-024-47830-3
external_id:
pmid:
- '38688943'
file:
- access_level: open_access
checksum: 509c65919067a03ef8ad65c7192cd860
content_type: application/pdf
creator: dernst
date_created: 2024-05-13T11:46:19Z
date_updated: 2024-05-13T11:46:19Z
file_id: '15386'
file_name: 2024_NatureComm_Hibshman.pdf
file_size: 7477013
relation: main_file
success: 1
file_date_updated: 2024-05-13T11:46:19Z
fulldoi: https://doi.org/10.1038/s41467-024-47830-3
has_accepted_license: '1'
intvolume: ' 15'
language:
- iso: eng
month: '04'
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
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Unraveling the mechanisms of PAMless DNA interrogation by SpRY-Cas9
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'
...
---
OA_place: repository
OA_type: green
_id: '17442'
abstract:
- lang: eng
text: "Although eukaryotic Argonautes have a pivotal role in post-transcriptional
gene regulation through nucleic acid cleavage, some short prokaryotic Argonaute
variants (pAgos) rely on auxiliary nuclease factors for efficient foreign DNA
degradation1. Here we reveal the activation pathway of the DNA defence module
DdmDE system, which rapidly eliminates small, multicopy plasmids from the Vibrio
cholerae seventh pandemic strain (7PET)2. Through a combination of cryo-electron
microscopy, biochemistry and in vivo plasmid clearance assays, we demonstrate
that DdmE is a catalytically inactive, DNA-guided, DNA-targeting pAgo with a distinctive
insertion domain. We observe that the helicase-nuclease DdmD transitions from
an autoinhibited, dimeric complex to a monomeric state upon loading of single-stranded
DNA targets. Furthermore, the complete structure of the DdmDE–guide–target handover
complex provides a comprehensive view into how DNA recognition triggers processive
plasmid destruction. Our work establishes a mechanistic foundation for how pAgos
utilize ancillary factors to achieve plasmid clearance, and provides insights
into anti-plasmid immunity in bacteria.\r\n\r\n"
acknowledgement: We thank K. Kiernan, G. Hibshman and I. Strohkendl for insightful
discussions and comments on the manuscript, and R. Lin for assistance with the ATPase
assay. Data were collected at the Sauer Structural Biology Laboratory at the University
of Texas at Austin. This work was supported in part by the National Institute of
General Medical Sciences (NIGMS) of the National Institutes of Health (NIH) R35GM138348
(to D.W.T.) and Welch Foundation research grant F-1938 (to D.W.T.).
article_processing_charge: No
article_type: original
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
- first_name: Delisa A.
full_name: Ramos, Delisa A.
last_name: Ramos
- first_name: Rodrigo
full_name: Fregoso Ocampo, Rodrigo
last_name: Fregoso Ocampo
- first_name: Caiden
full_name: Ingram, Caiden
last_name: Ingram
- first_name: David W.
full_name: Taylor, David W.
last_name: Taylor
citation:
ama: Bravo JPK, Ramos DA, Fregoso Ocampo R, Ingram C, Taylor DW. Plasmid targeting
and destruction by the DdmDE bacterial defence system. Nature. 2024;630(8018):961-967.
doi:10.1038/s41586-024-07515-9
apa: Bravo, J. P. K., Ramos, D. A., Fregoso Ocampo, R., Ingram, C., & Taylor,
D. W. (2024). Plasmid targeting and destruction by the DdmDE bacterial defence
system. Nature. Springer Nature. https://doi.org/10.1038/s41586-024-07515-9
chicago: Bravo, Jack Peter Kelly, Delisa A. Ramos, Rodrigo Fregoso Ocampo, Caiden
Ingram, and David W. Taylor. “Plasmid Targeting and Destruction by the DdmDE Bacterial
Defence System.” Nature. Springer Nature, 2024. https://doi.org/10.1038/s41586-024-07515-9.
ieee: J. P. K. Bravo, D. A. Ramos, R. Fregoso Ocampo, C. Ingram, and D. W. Taylor,
“Plasmid targeting and destruction by the DdmDE bacterial defence system,” Nature,
vol. 630, no. 8018. Springer Nature, pp. 961–967, 2024.
ista: Bravo JPK, Ramos DA, Fregoso Ocampo R, Ingram C, Taylor DW. 2024. Plasmid
targeting and destruction by the DdmDE bacterial defence system. Nature. 630(8018),
961–967.
mla: Bravo, Jack Peter Kelly, et al. “Plasmid Targeting and Destruction by the DdmDE
Bacterial Defence System.” Nature, vol. 630, no. 8018, Springer Nature,
2024, pp. 961–67, doi:10.1038/s41586-024-07515-9.
short: J.P.K. Bravo, D.A. Ramos, R. Fregoso Ocampo, C. Ingram, D.W. Taylor, Nature
630 (2024) 961–967.
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Structures of the DdmE in complex with guide and target,
the DdmD monomer in complex with ssDNA, the DdmDE handover complex, the DdmD dimer
and the DdmD dimer in complex with ssDNA have been deposited in the Electron Microscopy
Data Bank with the accession codes EMD-41781, EMD-41790, EMD-41865, EMD-44825 and
EMD-41785, respectively. Associated atomic coordinates have been deposited in the
Protein Data Bank with the accession codes 8U0J, 8U0W, 8U3K, 9BVQ and 8U0U, respectively.
Source data are provided with this paper.
date_created: 2024-08-19T09:41:18Z
date_published: 2024-06-27T00:00:00Z
date_updated: 2026-10-02T11:59:25Z
day: '27'
department:
- _id: JaBr
doi: 10.1038/s41586-024-07515-9
external_id:
pmid:
- '38740055'
fulldoi: https://doi.org/10.1038/s41586-024-07515-9
intvolume: ' 630'
issue: '8018'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://pmc.ncbi.nlm.nih.gov/articles/PMC11649018/
month: '06'
oa: 1
oa_version: Submitted Version
page: 961-967
pmid: 1
publication: Nature
publication_identifier:
eissn:
- 1476-4687
issn:
- 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Plasmid targeting and destruction by the DdmDE bacterial defence system
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 630
year: '2024'
...
---
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? Future Microbiology.
2024;19(15):1269-1272. doi:10.1080/17460913.2024.2389720'
apa: 'Bravo, J. P. K. (2024). Anti-plasmid immunity: A key to pathogen success?
Future Microbiology. Taylor & Francis. https://doi.org/10.1080/17460913.2024.2389720'
chicago: 'Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?”
Future Microbiology. Taylor & Francis, 2024. https://doi.org/10.1080/17460913.2024.2389720.'
ieee: 'J. P. K. Bravo, “Anti-plasmid immunity: A key to pathogen success?,” Future
Microbiology, vol. 19, no. 15. Taylor & 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?”
Future Microbiology, vol. 19, no. 15, Taylor & Francis, 2024, pp. 1269–72,
doi:10.1080/17460913.2024.2389720.'
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. Mathematische
Annalen. 2024;389:1657-1676. doi:10.1007/s00208-023-02680-0
apa: Volberg, A., & Zhang, H. (2024). Noncommutative Bohnenblust–Hille inequalities.
Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-023-02680-0
chicago: Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille
Inequalities.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-023-02680-0.
ieee: A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,”
Mathematische Annalen, 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.”
Mathematische Annalen, vol. 389, Springer Nature, 2024, pp. 1657–76, doi:10.1007/s00208-023-02680-0.
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
external_id:
arxiv:
- '2210.14468'
isi:
- '001035665500001'
pmid:
- '38751410'
file:
- access_level: open_access
checksum: 56e67756e4c6c97589a8385e15ea2d2a
content_type: application/pdf
creator: dernst
date_created: 2024-07-22T09:38:15Z
date_updated: 2024-07-22T09:38:15Z
file_id: '17299'
file_name: 2024_MathAnnalen_Volberg.pdf
file_size: 351796
relation: main_file
success: 1
file_date_updated: 2024-07-22T09:38:15Z
fulldoi: https://doi.org/10.1007/s00208-023-02680-0
has_accepted_license: '1'
intvolume: ' 389'
isi: 1
language:
- iso: eng
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.
Calculus of Variations and Partial Differential Equations. 2024;63(6).
doi:10.1007/s00526-024-02755-z
apa: Brooks, M., & Maas, J. (2024). Characterisation of gradient flows for a
given functional. Calculus of Variations and Partial Differential Equations.
Springer Nature. https://doi.org/10.1007/s00526-024-02755-z
chicago: Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a
given Functional.” Calculus of Variations and Partial Differential Equations.
Springer Nature, 2024. https://doi.org/10.1007/s00526-024-02755-z.
ieee: M. Brooks and J. Maas, “Characterisation of gradient flows for a given functional,”
Calculus of Variations and Partial Differential Equations, 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.” Calculus of Variations and Partial Differential Equations,
vol. 63, no. 6, 153, Springer Nature, 2024, doi:10.1007/s00526-024-02755-z.
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
file_date_updated: 2024-07-22T07:05:32Z
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
scopus_import: '1'
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. Transactions
of the American Mathematical Society. 2024;377(6):3779-3804. doi:10.1090/tran/9156
apa: 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. American Mathematical
Society. https://doi.org/10.1090/tran/9156
chicago: Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions
for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric
Spaces.” Transactions of the American Mathematical Society. American Mathematical
Society, 2024. https://doi.org/10.1090/tran/9156.
ieee: L. Dello Schiavo, J. Maas, and F. Pedrotti, “Local conditions for global convergence
of gradient flows and proximal point sequences in metric spaces,” Transactions
of the American Mathematical Society, 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.” Transactions
of the American Mathematical Society, vol. 377, no. 6, American Mathematical
Society, 2024, pp. 3779–804, doi:10.1090/tran/9156.
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:
- open_access: '1'
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
publication_identifier:
eissn:
- 1088-6850
issn:
- 0002-9947
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
related_material:
record:
- id: '17336'
relation: dissertation_contains
status: public
researchdata_availability: no
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. Annales
Henri Poincare. 2024;25:2087-2106. doi:10.1007/s00023-023-01345-7
apa: Zhang, H. (2024). Some convexity and monotonicity results of trace functionals.
Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-023-01345-7
chicago: Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.”
Annales Henri Poincare. Springer Nature, 2024. https://doi.org/10.1007/s00023-023-01345-7.
ieee: H. Zhang, “Some convexity and monotonicity results of trace functionals,”
Annales Henri Poincare, 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.”
Annales Henri Poincare, vol. 25, Springer Nature, 2024, pp. 2087–106, doi:10.1007/s00023-023-01345-7.
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. Mathematical
Communications. 2024;29(1):137-142.
apa: Dello Schiavo, L. (2024). A characterization of maps of bounded compression.
Mathematical Communications. Udruga Matematicara Osijek.
chicago: Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.”
Mathematical Communications. Udruga Matematicara Osijek, 2024.
ieee: L. Dello Schiavo, “A characterization of maps of bounded compression,” Mathematical
Communications, 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.”
Mathematical Communications, 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. Journal of the London Mathematical Society.
2024;110(5). doi:10.1112/jlms.70003
apa: Dello Schiavo, L., Herry, R., Kopfer, E., & Sturm, K. T. (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. London Mathematical Society. https://doi.org/10.1112/jlms.70003
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.” Journal
of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/jlms.70003.
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,” Journal of the London Mathematical
Society, 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.” Journal of the London Mathematical Society, vol. 110,
no. 5, e70003, London Mathematical Society, 2024, doi:10.1112/jlms.70003.
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:
- access_level: open_access
checksum: 143816823b5f43bd3748da8e3e91cef5
content_type: application/pdf
creator: dernst
date_created: 2024-11-04T08:54:26Z
date_updated: 2024-11-04T08:54:26Z
file_id: '18497'
file_name: 2024_JourLondonMathSoc_Schiavo.pdf
file_size: 911476
relation: main_file
success: 1
file_date_updated: 2024-11-04T08:54:26Z
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. Communications in Mathematical
Physics. 2024;405(4). doi:10.1007/s00220-024-04981-0
apa: 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. Springer Nature. https://doi.org/10.1007/s00220-024-04981-0
chicago: Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL
and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” Communications
in Mathematical Physics. Springer Nature, 2024. https://doi.org/10.1007/s00220-024-04981-0.
ieee: C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems
and the learnability of quantum boolean functions,” Communications in Mathematical
Physics, 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.” Communications in Mathematical
Physics, vol. 405, no. 4, 95, Springer Nature, 2024, doi:10.1007/s00220-024-04981-0.
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. Journal de l’Ecole Polytechnique - Mathematiques.
2024;11:957-1010. doi:10.5802/jep.270
apa: Dello Schiavo, L., Herry, R., & Suzuki, K. (2024). Wasserstein geometry
and Ricci curvature bounds for Poisson spaces. Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.270
chicago: Dello Schiavo, Lorenzo, Ronan Herry, and Kohei Suzuki. “Wasserstein Geometry
and Ricci Curvature Bounds for Poisson Spaces.” Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique, 2024. https://doi.org/10.5802/jep.270.
ieee: L. Dello Schiavo, R. Herry, and K. Suzuki, “Wasserstein geometry and Ricci
curvature bounds for Poisson spaces,” Journal de l’Ecole Polytechnique - Mathematiques,
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.” Journal de l’Ecole Polytechnique - Mathematiques,
vol. 11, Ecole Polytechnique, 2024, pp. 957–1010, doi:10.5802/jep.270.
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
content_type: application/pdf
creator: dernst
date_created: 2024-10-01T07:31:56Z
date_updated: 2024-10-01T07:31:56Z
file_id: '18164'
file_name: 2024_JourEcolePolytechniqueMath_DelloSchiavo.pdf
file_size: 1250553
relation: main_file
success: 1
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
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: 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. Potential Analysis. 2024;61:501-553. doi:10.1007/s11118-023-10118-0
apa: Dello Schiavo, L., Kopfer, E., & Sturm, K. T. (2024). A discovery tour
in random Riemannian geometry. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-023-10118-0
chicago: Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery
Tour in Random Riemannian Geometry.” Potential Analysis. Springer Nature,
2024. https://doi.org/10.1007/s11118-023-10118-0.
ieee: L. Dello Schiavo, E. Kopfer, and K. T. Sturm, “A discovery tour in random
Riemannian geometry,” Potential Analysis, 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.”
Potential Analysis, vol. 61, Springer Nature, 2024, pp. 501–53, doi:10.1007/s11118-023-10118-0.
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
content_type: application/pdf
creator: dernst
date_created: 2025-01-09T08:13:34Z
date_updated: 2025-01-09T08:13:34Z
file_id: '18789'
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'
...