---
OA_place: publisher
OA_type: hybrid
_id: '18064'
abstract:
- lang: eng
text: " We show that the total number of non-torsion integral points on the elliptic
curves ED : y\r\n2 = x3 − D2x, where D ranges over positive squarefree integers
less than N, is O(N(log N)\r\n−1/4+ǫ). The proof involves a discriminant-lowering
procedure on integral binary quartic forms and an application of Heath-Brown’s
method on estimating the average size of the 2-Selmer group of the curves in this
family."
article_number: '109946'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Yik Tung
full_name: Chan, Yik Tung
id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
last_name: Chan
orcid: 0000-0001-8467-4106
citation:
ama: Chan S. The average number of integral points on the congruent number curves.
Advances in Mathematics. 2024;457(11). doi:10.1016/j.aim.2024.109946
apa: Chan, S. (2024). The average number of integral points on the congruent number
curves. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109946
chicago: Chan, Stephanie. “The Average Number of Integral Points on the Congruent
Number Curves.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109946.
ieee: S. Chan, “The average number of integral points on the congruent number curves,”
Advances in Mathematics, vol. 457, no. 11. Elsevier, 2024.
ista: Chan S. 2024. The average number of integral points on the congruent number
curves. Advances in Mathematics. 457(11), 109946.
mla: Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number
Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024,
doi:10.1016/j.aim.2024.109946.
short: S. Chan, Advances in Mathematics 457 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-09-15T22:01:39Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2026-07-29T10:03:09Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1016/j.aim.2024.109946
external_id:
arxiv:
- '2112.01615'
file:
- access_level: open_access
checksum: f555742540ad91a3040aeafd68b1fcde
content_type: application/pdf
creator: dernst
date_created: 2025-01-13T08:54:09Z
date_updated: 2025-01-13T08:54:09Z
file_id: '18829'
file_name: 2024_AdvancesMath_Chan.pdf
file_size: 564386
relation: main_file
success: 1
file_date_updated: 2025-01-13T08:54:09Z
has_accepted_license: '1'
intvolume: ' 457'
issue: '11'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Advances in Mathematics
publication_identifier:
eissn:
- 1090-2082
issn:
- 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: The average number of integral points on the congruent number curves
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: 457
year: '2024'
...
---
_id: '18173'
abstract:
- lang: eng
text: Using a two-dimensional version of the delta method, we establish an asymptotic
formula for the number of rational points of bounded height on non-singular complete
intersections of cubic and quadric hypersurfaces of dimension at least 23 over
Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation.
acknowledgement: The author would like to thank his supervisor Tim Browning for suggesting
this project and many helpful conversations and Pankaj Vishe for useful comments.
Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise
in exponential sums and geometry. While working on this paper, the author was supported
by FWF grant (DOI 10.55776/P36278).
article_number: e12991
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Jakob
full_name: Glas, Jakob
id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb
last_name: Glas
citation:
ama: Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces
over Fq(t). Journal of the London Mathematical Society. 2024;110(4). doi:10.1112/jlms.12991
apa: Glas, J. (2024). Rational points on complete intersections of cubic and quadric
hypersurfaces over Fq(t). Journal of the London Mathematical Society. London
Mathematical Society. https://doi.org/10.1112/jlms.12991
chicago: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric
Hypersurfaces over Fq(T).” Journal of the London Mathematical Society.
London Mathematical Society, 2024. https://doi.org/10.1112/jlms.12991.
ieee: J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces
over Fq(t),” Journal of the London Mathematical Society, vol. 110, no.
4. London Mathematical Society, 2024.
ista: Glas J. 2024. Rational points on complete intersections of cubic and quadric
hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4),
e12991.
mla: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric
Hypersurfaces over Fq(T).” Journal of the London Mathematical Society,
vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:10.1112/jlms.12991.
short: J. Glas, Journal of the London Mathematical Society 110 (2024).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-10-06T22:01:11Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-29T10:04:55Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1112/jlms.12991
external_id:
arxiv:
- '2306.02718'
file:
- access_level: open_access
checksum: 11ebf690363151026ce81f91f2220855
content_type: application/pdf
creator: dernst
date_created: 2024-10-07T08:51:01Z
date_updated: 2024-10-07T08:51:01Z
file_id: '18181'
file_name: 2024_JLondonMathSoc_Glas.pdf
file_size: 579601
relation: main_file
success: 1
file_date_updated: 2024-10-07T08:51:01Z
has_accepted_license: '1'
intvolume: ' 110'
issue: '4'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
grant_number: P36278
name: Rational curves via function field analytic number theory
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'
related_material:
record:
- id: '18132'
relation: dissertation_contains
status: public
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Rational points on complete intersections of cubic and quadric hypersurfaces
over Fq(t)
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'
...
---
OA_place: repository
_id: '18295'
abstract:
- lang: eng
text: By developing a suitable version of the circle method, we show that the space
of degree e rational curves on a smooth hypersurface of degree d has only canonical
singularities provided its dimension is sufficiently large with respect to e and
d.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jakob
full_name: Glas, Jakob
id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb
last_name: Glas
citation:
ama: Glas J. Canonical singularities on moduli spaces of rational curves via the
circle method. arXiv. doi:10.48550/arXiv.2405.16648
apa: Glas, J. (n.d.). Canonical singularities on moduli spaces of rational curves
via the circle method. arXiv. https://doi.org/10.48550/arXiv.2405.16648
chicago: Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves
via the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2405.16648.
ieee: J. Glas, “Canonical singularities on moduli spaces of rational curves via
the circle method,” arXiv. .
ista: Glas J. Canonical singularities on moduli spaces of rational curves via the
circle method. arXiv, 10.48550/arXiv.2405.16648.
mla: Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via
the Circle Method.” ArXiv, doi:10.48550/arXiv.2405.16648.
short: J. Glas, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2024-10-10T13:15:43Z
date_published: 2024-05-26T00:00:00Z
date_updated: 2026-07-29T10:05:58Z
day: '26'
department:
- _id: TiBr
doi: 10.48550/arXiv.2405.16648
external_id:
arxiv:
- '2405.16648'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2405.16648
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
grant_number: P36278
name: Rational curves via function field analytic number theory
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '19013'
relation: later_version
status: public
- id: '18132'
relation: dissertation_contains
status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Canonical singularities on moduli spaces of rational curves via the circle
method
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: '19013'
abstract:
- lang: eng
text: We study the singularities of the moduli space of degree e maps from smooth
genus g curves to an arbitrary smooth hypersurface of low degree. For e large
compared to g, we show that these moduli spaces have at worst terminal singularities.
Our main approach is to study the jet schemes of these moduli spaces by developing
a suitable form of the circle method.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jakob
full_name: Glas, Jakob
id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb
last_name: Glas
- first_name: 'Matthew '
full_name: 'Hase-Liu, Matthew '
last_name: Hase-Liu
citation:
ama: Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on
low degree hypersurfaces and the circle method. arXiv. doi:10.48550/arXiv.2412.14923
apa: Glas, J., & Hase-Liu, M. (n.d.). Terminal singularities of the moduli space
of curves on low degree hypersurfaces and the circle method. arXiv. https://doi.org/10.48550/arXiv.2412.14923
chicago: Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli
Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv,
n.d. https://doi.org/10.48550/arXiv.2412.14923.
ieee: J. Glas and M. Hase-Liu, “Terminal singularities of the moduli space of curves
on low degree hypersurfaces and the circle method,” arXiv. .
ista: Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on
low degree hypersurfaces and the circle method. arXiv, 10.48550/arXiv.2412.14923.
mla: Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space
of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, doi:10.48550/arXiv.2412.14923.
short: J. Glas, M. Hase-Liu, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-07T12:04:11Z
date_published: 2024-12-19T00:00:00Z
date_updated: 2026-07-29T10:05:58Z
day: '19'
department:
- _id: TiBr
doi: 10.48550/arXiv.2412.14923
external_id:
arxiv:
- '2412.14923'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2412.14923
month: '12'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '18295'
relation: earlier_version
status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: Terminal singularities of the moduli space of curves on low degree hypersurfaces
and the circle method
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'
...
---
_id: '14687'
abstract:
- lang: eng
text: The short history of research on Li-O2 batteries has seen a remarkable number
of mechanistic U-turns over the years. From the initial use of carbonate electrolytes,
that were then found to be entirely unsuitable, to the belief that (su)peroxide
was solely responsible for degradation, before the more reactive singlet oxygen
was found to form, to the hypothesis that capacity depends on a competing surface/solution
mechanism before a practically exclusive solution mechanism was identified. Herein,
we argue for an ever-fresh look at the reported data without bias towards supposedly
established explanations. We explain how the latest findings on rate and capacity
limits, as well as the origin of side reactions, are connected via the disproportionation
(DISP) step in the (dis)charge mechanism. Therefrom, directions emerge for the
design of electrolytes and mediators on how to suppress side reactions and to
enable high rate and high reversible capacity.
acknowledgement: S.A.F. is indebted to ISTA for support. R.B.J. thanks the European
Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
grant agreement No 101034413 for funding. B.P. thanks Alistore ERI for providing
a PhD scholarship.
article_number: e202316476
article_processing_charge: Yes (via OA deal)
article_type: review
author:
- first_name: Rajesh B
full_name: Jethwa, Rajesh B
id: 4cc538d5-803f-11ed-ab7e-8139573aad8f
last_name: Jethwa
orcid: 0000-0002-0404-4356
- first_name: Soumyadip
full_name: Mondal, Soumyadip
id: d25d21ef-dc8d-11ea-abe3-ec4576307f48
last_name: Mondal
- first_name: Bhargavi
full_name: Pant, Bhargavi
id: 50c64d4d-eb97-11eb-a6c2-d33e5e14f112
last_name: Pant
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
citation:
ama: Jethwa RB, Mondal S, Pant B, Freunberger SA. To DISP or not? The far‐reaching
reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International
Edition. 2024;63(28). doi:10.1002/anie.202316476
apa: Jethwa, R. B., Mondal, S., Pant, B., & Freunberger, S. A. (2024). To DISP
or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries.
Angewandte Chemie International Edition. Wiley. https://doi.org/10.1002/anie.202316476
chicago: Jethwa, Rajesh B, Soumyadip Mondal, Bhargavi Pant, and Stefan Alexander
Freunberger. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning
Lithium‐air Batteries.” Angewandte Chemie International Edition. Wiley,
2024. https://doi.org/10.1002/anie.202316476.
ieee: R. B. Jethwa, S. Mondal, B. Pant, and S. A. Freunberger, “To DISP or not?
The far‐reaching reaction mechanisms underpinning Lithium‐air batteries,” Angewandte
Chemie International Edition, vol. 63, no. 28. Wiley, 2024.
ista: Jethwa RB, Mondal S, Pant B, Freunberger SA. 2024. To DISP or not? The far‐reaching
reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International
Edition. 63(28), e202316476.
mla: Jethwa, Rajesh B., et al. “To DISP or Not? The Far‐reaching Reaction Mechanisms
Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition,
vol. 63, no. 28, e202316476, Wiley, 2024, doi:10.1002/anie.202316476.
short: R.B. Jethwa, S. Mondal, B. Pant, S.A. Freunberger, Angewandte Chemie International
Edition 63 (2024).
corr_author: '1'
date_created: 2023-12-15T16:10:13Z
date_published: 2024-07-08T00:00:00Z
date_updated: 2026-07-29T12:57:15Z
day: '08'
ddc:
- '540'
department:
- _id: StFr
- _id: GradSch
doi: 10.1002/anie.202316476
ec_funded: 1
external_id:
isi:
- '001241932700001'
pmid:
- '38095355'
file:
- access_level: open_access
checksum: fe2c23454279eb9d76ed6ca9970c21c7
content_type: application/pdf
creator: dernst
date_created: 2024-07-16T11:54:46Z
date_updated: 2024-07-16T11:54:46Z
file_id: '17261'
file_name: 2024_AngChemieInt_Jethwa.pdf
file_size: 4766445
relation: main_file
success: 1
file_date_updated: 2024-07-16T11:54:46Z
has_accepted_license: '1'
intvolume: ' 63'
isi: 1
issue: '28'
keyword:
- General Chemistry
- Catalysis
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Angewandte Chemie International Edition
publication_identifier:
eissn:
- 1521-3773
issn:
- 1433-7851
publication_status: published
publisher: Wiley
quality_controlled: '1'
related_material:
record:
- id: '20607'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air
batteries
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 63
year: '2024'
...
---
_id: '13044'
abstract:
- lang: eng
text: Singlet oxygen (1O2) formation is now recognised as a key aspect of non-aqueous
oxygen redox chemistry. For identifying 1O2, chemical trapping via 9,10-dimethylanthracene
(DMA) to form the endoperoxide (DMA-O2) has become the mainstay method due to
its sensitivity, selectivity, and ease of use. While DMA has been shown to be
selective for 1O2, rather than forming DMA-O2 with a wide variety of potentially
reactive O-containing species, false positives might hypothetically be obtained
in the presence of previously overlooked species. Here, we first give unequivocal
direct spectroscopic proof by the 1O2-specific near infrared (NIR) emission at
1270 nm for the previously proposed 1O2 formation pathways, which centre around
superoxide disproportionation. We then show that peroxocarbonates, common intermediates
in metal-O2 and metal carbonate electrochemistry, do not produce false-positive
DMA-O2. Moreover, we identify a previously unreported 1O2-forming pathway through
the reaction of CO2 with superoxide. Overall, we give unequivocal proof for 1O2
formation in non-aqueous oxygen redox and show that chemical trapping with DMA
is a reliable method to assess 1O2 formation.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Soumyadip
full_name: Mondal, Soumyadip
id: d25d21ef-dc8d-11ea-abe3-ec4576307f48
last_name: Mondal
- first_name: Rajesh B
full_name: Jethwa, Rajesh B
id: 4cc538d5-803f-11ed-ab7e-8139573aad8f
last_name: Jethwa
orcid: 0000-0002-0404-4356
- first_name: Bhargavi
full_name: Pant, Bhargavi
id: 50c64d4d-eb97-11eb-a6c2-d33e5e14f112
last_name: Pant
- first_name: Robert
full_name: Hauschild, Robert
id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87
last_name: Hauschild
orcid: 0000-0001-9843-3522
- first_name: Stefan Alexander
full_name: Freunberger, Stefan Alexander
id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
last_name: Freunberger
orcid: 0000-0003-2902-5319
citation:
ama: 'Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. Singlet oxygen in
non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways
and reliability of chemical probes. Faraday Discussions. 2024;248:175-189.
doi:10.1039/d3fd00088e'
apa: 'Mondal, S., Jethwa, R. B., Pant, B., Hauschild, R., & Freunberger, S.
A. (2024). Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence
for formation pathways and reliability of chemical probes. Faraday Discussions.
Royal Society of Chemistry. https://doi.org/10.1039/d3fd00088e'
chicago: 'Mondal, Soumyadip, Rajesh B Jethwa, Bhargavi Pant, Robert Hauschild, and
Stefan Alexander Freunberger. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct
Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.”
Faraday Discussions. Royal Society of Chemistry, 2024. https://doi.org/10.1039/d3fd00088e.'
ieee: 'S. Mondal, R. B. Jethwa, B. Pant, R. Hauschild, and S. A. Freunberger, “Singlet
oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation
pathways and reliability of chemical probes,” Faraday Discussions, vol.
248. Royal Society of Chemistry, pp. 175–189, 2024.'
ista: 'Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. 2024. Singlet oxygen
in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways
and reliability of chemical probes. Faraday Discussions. 248, 175–189.'
mla: 'Mondal, Soumyadip, et al. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct
Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.”
Faraday Discussions, vol. 248, Royal Society of Chemistry, 2024, pp. 175–89,
doi:10.1039/d3fd00088e.'
short: S. Mondal, R.B. Jethwa, B. Pant, R. Hauschild, S.A. Freunberger, Faraday
Discussions 248 (2024) 175–189.
corr_author: '1'
date_created: 2023-05-22T06:53:34Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2026-07-29T12:57:14Z
day: '01'
ddc:
- '540'
department:
- _id: StFr
- _id: Bio
doi: 10.1039/d3fd00088e
external_id:
isi:
- '001070423500001'
pmid:
- '37750344'
file:
- access_level: open_access
checksum: 6515a227ed3e8942496fe6a1feeffd18
content_type: application/pdf
creator: dernst
date_created: 2024-07-16T07:46:39Z
date_updated: 2024-07-16T07:46:39Z
file_id: '17249'
file_name: 2024_FaradayDiscussions_Mondal.pdf
file_size: 1303733
relation: main_file
success: 1
file_date_updated: 2024-07-16T07:46:39Z
has_accepted_license: '1'
intvolume: ' 248'
isi: 1
keyword:
- Physical and Theoretical Chemistry
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/3.0/
month: '01'
oa: 1
oa_version: Published Version
page: 175-189
pmid: 1
publication: Faraday Discussions
publication_identifier:
eissn:
- 1364-5498
issn:
- 1359-6640
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
related_material:
record:
- id: '20607'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence
for formation pathways and reliability of chemical probes'
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/3.0/legalcode
name: Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
short: CC BY-NC (3.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 248
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '20071'
abstract:
- lang: eng
text: Farkas established that a system of linear inequalities has a solution if
and only if we cannot obtain a contradiction by taking a linear combination of
the inequalities. We state and formally prove several Farkas-like theorems over
linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the
case when some coefficients are allowed to take "infinite values".
acknowledgement: We would like to thank David Bartl and Jasmin Blanchette for frequent
consultations. We would also like to express gratitude to Andrew Yang for the proof
of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization
from extended rationals to extended linearly ordered fields. We would also like
to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley,
Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.
article_number: '2409.08119'
article_processing_charge: No
arxiv: 1
author:
- first_name: Martin
full_name: Dvorak, Martin
id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
last_name: Dvorak
orcid: 0000-0001-5293-214X
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions
-- formally verified. arXiv. doi:10.48550/arXiv.2409.08119
apa: Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization
and its extensions -- formally verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119
chicago: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization
and Its Extensions -- Formally Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119.
ieee: M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its
extensions -- formally verified,” arXiv. .
ista: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions
-- formally verified. arXiv, 2409.08119.
mla: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization
and Its Extensions -- Formally Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119.
short: M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-07-23T11:21:52Z
date_published: 2024-09-12T00:00:00Z
date_updated: 2026-07-29T12:56:51Z
day: '12'
department:
- _id: GradSch
- _id: VlKo
doi: 10.48550/arXiv.2409.08119
external_id:
arxiv:
- '2409.08119'
keyword:
- Farkas lemma
- linear programming
- extended reals
- calculus of inductive constructions
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.08119
month: '09'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
link:
- description: full version of all definitions, statement, and proofs
relation: software
url: https://github.com/madvorak/duality/tree/v3.2
record:
- id: '22607'
relation: later_version
status: public
- id: '21393'
relation: dissertation_contains
status: public
status: public
title: Duality theory in linear optimization and its extensions -- formally verified
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18307'
abstract:
- lang: eng
text: Vaccination is the most effective tool to control infectious diseases. However,
the evolution of vaccine resistance, exemplified by vaccine resistance in SARS-CoV-2,
remains a concern. Here, we model complex vaccination strategies against a pathogen
with multiple epitopes—molecules targeted by the vaccine. We found that a vaccine
targeting one epitope was ineffective in preventing vaccine escape. Vaccine resistance
in highly infectious pathogens was prevented by the full-epitope vaccine, that
is, one targeting all available epitopes, but only when the rate of pathogen evolution
was low. Strikingly, a bet-hedging strategy of random administration of vaccines
targeting different epitopes was the most effective in preventing vaccine resistance
in pathogens with the low rate of infection and high rate of evolution. Thus,
complex vaccination strategies, when biologically feasible, may be preferable
to the currently used single-vaccine approaches for long-term control of disease
outbreaks, especially when applied to livestock with near 100% vaccination rates.
acknowledgement: We thank Raimundo Julian Saona Urmeneta, Maike Morrison, Sergey Kryazhimskiy,
Hiroki Ishikawa, Simone Pigolotti, and Shingo Miyauchi for fruitful discussions.
We also thank the participants of the FRISBI seminar at ISTA for useful comments.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Simon
full_name: Rella, Simon
id: B4765ACA-AA38-11E9-AC9A-0930E6697425
last_name: Rella
- first_name: Yuliya A.
full_name: Kulikova, Yuliya A.
last_name: Kulikova
- first_name: Aygul
full_name: Minnegalieva, Aygul
id: 87DF77F0-1D9A-11EA-B6AE-CE443DDC885E
last_name: Minnegalieva
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
citation:
ama: 'Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. Complex vaccination strategies
prevent the emergence of vaccine resistance. Evolution: International journal
of organic evolution. 2024;78(10):1722-1738. doi:10.1093/evolut/qpae106'
apa: 'Rella, S., Kulikova, Y. A., Minnegalieva, A., & Kondrashov, F. (2024).
Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution:
International Journal of Organic Evolution. Oxford University Press. https://doi.org/10.1093/evolut/qpae106'
chicago: 'Rella, Simon, Yuliya A. Kulikova, Aygul Minnegalieva, and Fyodor Kondrashov.
“Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.”
Evolution: International Journal of Organic Evolution. Oxford University
Press, 2024. https://doi.org/10.1093/evolut/qpae106.'
ieee: 'S. Rella, Y. A. Kulikova, A. Minnegalieva, and F. Kondrashov, “Complex vaccination
strategies prevent the emergence of vaccine resistance,” Evolution: International
journal of organic evolution, vol. 78, no. 10. Oxford University Press, pp.
1722–1738, 2024.'
ista: 'Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. 2024. Complex vaccination
strategies prevent the emergence of vaccine resistance. Evolution: International
journal of organic evolution. 78(10), 1722–1738.'
mla: 'Rella, Simon, et al. “Complex Vaccination Strategies Prevent the Emergence
of Vaccine Resistance.” Evolution: International Journal of Organic Evolution,
vol. 78, no. 10, Oxford University Press, 2024, pp. 1722–38, doi:10.1093/evolut/qpae106.'
short: 'S. Rella, Y.A. Kulikova, A. Minnegalieva, F. Kondrashov, Evolution: International
Journal of Organic Evolution 78 (2024) 1722–1738.'
corr_author: '1'
date_created: 2024-10-13T22:01:50Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-29T12:57:48Z
day: '01'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1093/evolut/qpae106
external_id:
isi:
- '001286581900001'
pmid:
- '38990788'
file:
- access_level: open_access
checksum: 5c6e8475bb88b07d424a5130d5e91e74
content_type: application/pdf
creator: dernst
date_created: 2024-10-21T09:34:50Z
date_updated: 2024-10-21T09:34:50Z
file_id: '18453'
file_name: 2024_Evolution_Rella.pdf
file_size: 29360811
relation: main_file
success: 1
file_date_updated: 2024-10-21T09:34:50Z
has_accepted_license: '1'
intvolume: ' 78'
isi: 1
issue: '10'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1722-1738
pmid: 1
publication: 'Evolution: International journal of organic evolution'
publication_identifier:
eissn:
- 1558-5646
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/Simon-Re/complex-vaccination
record:
- id: '14862'
relation: research_data
status: public
- id: '20811'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Complex vaccination strategies prevent the emergence of vaccine resistance
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 78
year: '2024'
...
---
_id: '15322'
abstract:
- lang: eng
text: The tendency of materials to order in triboelectric series has prompted suggestions
that contact electrification might have a single, unified underlying description.
However, the possibility of “triboelectric cycles,” i.e., series that loop back
onto themselves, is seemingly at odds with such a coherent description. In this
work, we propose that if multiple charge carrying species are at play, both triboelectric
series and cycles are possible. We show how series arise naturally if only a single
charge carrier species is involved and if the driving mechanism is approach toward
thermodynamic equilibrium, and simultaneously, that cycles are forbidden under
such conditions. Suspecting multiple carriers might relax the situation, we affirm
this is the case by explicit construction of a cycle involving two carriers, and
then extend this to show how more complex cycles emerge. Our work highlights the
importance of series and cycles towards determining the underlying mechanism(s)
and carrier(s) in contact electrification.
article_number: L032108
article_processing_charge: No
article_type: letter_note
author:
- first_name: Juan Carlos A
full_name: Sobarzo Ponce, Juan Carlos A
id: 4B807D68-AE37-11E9-AC72-31CAE5697425
last_name: Sobarzo Ponce
- first_name: Scott R
full_name: Waitukaitis, Scott R
id: 3A1FFC16-F248-11E8-B48F-1D18A9856A87
last_name: Waitukaitis
orcid: 0000-0002-2299-3176
citation:
ama: Sobarzo Ponce JCA, Waitukaitis SR. Multiple charge carrier species as a possible
cause for triboelectric cycles. Physical Review E. 2024;109(3). doi:10.1103/PhysRevE.109.L032108
apa: Sobarzo Ponce, J. C. A., & Waitukaitis, S. R. (2024). Multiple charge carrier
species as a possible cause for triboelectric cycles. Physical Review E.
American Physical Society. https://doi.org/10.1103/PhysRevE.109.L032108
chicago: Sobarzo Ponce, Juan Carlos A, and Scott R Waitukaitis. “Multiple Charge
Carrier Species as a Possible Cause for Triboelectric Cycles.” Physical Review
E. American Physical Society, 2024. https://doi.org/10.1103/PhysRevE.109.L032108.
ieee: J. C. A. Sobarzo Ponce and S. R. Waitukaitis, “Multiple charge carrier species
as a possible cause for triboelectric cycles,” Physical Review E, vol.
109, no. 3. American Physical Society, 2024.
ista: Sobarzo Ponce JCA, Waitukaitis SR. 2024. Multiple charge carrier species as
a possible cause for triboelectric cycles. Physical Review E. 109(3), L032108.
mla: Sobarzo Ponce, Juan Carlos A., and Scott R. Waitukaitis. “Multiple Charge Carrier
Species as a Possible Cause for Triboelectric Cycles.” Physical Review E,
vol. 109, no. 3, L032108, American Physical Society, 2024, doi:10.1103/PhysRevE.109.L032108.
short: J.C.A. Sobarzo Ponce, S.R. Waitukaitis, Physical Review E 109 (2024).
corr_author: '1'
date_created: 2024-04-14T22:01:03Z
date_published: 2024-03-29T00:00:00Z
date_updated: 2026-07-29T13:11:24Z
day: '29'
department:
- _id: ScWa
doi: 10.1103/PhysRevE.109.L032108
external_id:
isi:
- '001199745200004'
pmid:
- '38632754'
intvolume: ' 109'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
pmid: 1
publication: Physical Review E
publication_identifier:
eissn:
- 2470-0053
issn:
- 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '20203'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Multiple charge carrier species as a possible cause for triboelectric cycles
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 109
year: '2024'
...
---
_id: '15168'
abstract:
- lang: eng
text: 'A linearly ordered (LO) k-colouring of a hypergraph is a colouring of its
vertices with colours 1, … , k such that each edge contains a unique maximal colour.
Deciding whether an input hypergraph admits LO k-colouring with a fixed number
of colours is NP-complete (and in the special case of graphs, LO colouring coincides
with the usual graph colouring). Here, we investigate the complexity of approximating
the "linearly ordered chromatic number" of a hypergraph. We prove that the following
promise problem is NP-complete: Given a 3-uniform hypergraph, distinguish between
the case that it is LO 3-colourable, and the case that it is not even LO 4-colourable.
We prove this result by a combination of algebraic, topological, and combinatorial
methods, building on and extending a topological approach for studying approximate
graph colouring introduced by Krokhin, Opršal, Wrochna, and Živný (2023).'
acknowledgement: "Marek Filakovský: This research was supported by Charles University
(project PRIMUS/\r\n21/SCI/014), the Austrian Science Fund (FWF project P31312-N35),
and MSCAfellow5_MUNI\r\n(CZ.02.01.01/00/22_010/0003229). Tamio-Vesa Nakajima: This
research was funded by UKRI EP/X024431/1 and by a Clarendon Fund Scholarship. All
data is provided in full in the results section of this paper. Jakub Opršal: This
project has received funding from the European Union’s Horizon 2020 research and
innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413.
Uli Wagner: This research was supported by the Austrian Science Fund (FWF project
P31312-N35)."
alternative_title:
- LIPIcs
article_number: '34'
article_processing_charge: No
arxiv: 1
author:
- first_name: Marek
full_name: Filakovský, Marek
id: 3E8AF77E-F248-11E8-B48F-1D18A9856A87
last_name: Filakovský
- first_name: Tamio Vesa
full_name: Nakajima, Tamio Vesa
last_name: Nakajima
- first_name: Jakub
full_name: Opršal, Jakub
id: ec596741-c539-11ec-b829-c79322a91242
last_name: Opršal
orcid: 0000-0003-1245-3456
- first_name: Gianluca
full_name: Tasinato, Gianluca
id: 0433290C-AF8F-11E9-A4C7-F729E6697425
last_name: Tasinato
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. Hardness of linearly
ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In: 41st International
Symposium on Theoretical Aspects of Computer Science. Vol 289. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.STACS.2024.34'
apa: 'Filakovský, M., Nakajima, T. V., Opršal, J., Tasinato, G., & Wagner, U.
(2024). Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs.
In 41st International Symposium on Theoretical Aspects of Computer Science
(Vol. 289). Clermont-Ferrand, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.STACS.2024.34'
chicago: Filakovský, Marek, Tamio Vesa Nakajima, Jakub Opršal, Gianluca Tasinato,
and Uli Wagner. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform
Hypergraphs.” In 41st International Symposium on Theoretical Aspects of Computer
Science, Vol. 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
https://doi.org/10.4230/LIPIcs.STACS.2024.34.
ieee: M. Filakovský, T. V. Nakajima, J. Opršal, G. Tasinato, and U. Wagner, “Hardness
of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs,” in 41st
International Symposium on Theoretical Aspects of Computer Science, Clermont-Ferrand,
France, 2024, vol. 289.
ista: 'Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. 2024. Hardness
of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. 41st International
Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical
Aspects of Computer Science, LIPIcs, vol. 289, 34.'
mla: Filakovský, Marek, et al. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable
3-Uniform Hypergraphs.” 41st International Symposium on Theoretical Aspects
of Computer Science, vol. 289, 34, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2024, doi:10.4230/LIPIcs.STACS.2024.34.
short: M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st
International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2024.
conference:
end_date: 2024-03-14
location: Clermont-Ferrand, France
name: 'STACS: Symposium on Theoretical Aspects of Computer Science'
start_date: 2024-03-12
corr_author: '1'
date_created: 2024-03-24T23:00:59Z
date_published: 2024-03-01T00:00:00Z
date_updated: 2026-07-29T13:13:17Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.STACS.2024.34
ec_funded: 1
external_id:
arxiv:
- '2312.12981'
isi:
- '001300393400034'
file:
- access_level: open_access
checksum: 0524d4189fd1ed08989546511343edf3
content_type: application/pdf
creator: dernst
date_created: 2024-03-25T07:44:30Z
date_updated: 2024-03-25T07:44:30Z
file_id: '15175'
file_name: 2024_LIPICs_Filakovsky.pdf
file_size: 927290
relation: main_file
success: 1
file_date_updated: 2024-03-25T07:44:30Z
has_accepted_license: '1'
intvolume: ' 289'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P31312
name: Algorithms for Embeddings and Homotopy Theory
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: 41st International Symposium on Theoretical Aspects of Computer Science
publication_identifier:
eissn:
- 1868-8969
isbn:
- '9783959773119'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '22247'
relation: later_version
status: public
- id: '20339'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 289
year: '2024'
...
---
OA_type: closed access
_id: '18266'
abstract:
- lang: eng
text: Matrix games are the most basic model in game theory, and yet robustness with
respect to small perturbations of the matrix entries is not fully understood.
In this paper, we introduce value positivity and uniform value positivity, two
properties that refine the notion of optimality in the context of polynomially
perturbed matrix games. The first concept captures how the value depends on the
perturbation parameter, and the second consists of the existence of a fixed strategy
that guarantees the value of the unperturbed matrix game for every sufficiently
small positive parameter. We provide polynomial-time algorithms to check whether
a polynomially perturbed matrix game satisfies these properties. We further provide
the functional form for a parameterized optimal strategy and the value function.
Finally, we translate our results to linear programming and stochastic games,
where value positivity is related to the existence of robust solutions.
acknowledgement: This research was supported by Fondation CFM pour la Recherche, the
H2020 European Research Council [Grant ERC-CoG-863818 (ForM-SMArt)], the Austrian
Science Fund [Grant 10.55776/COE12], ANID Chile [Grant ACT210005], and Agence Nationale
de la Recherche [Grant ANR-21-CE40-0020].
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Miquel
full_name: Oliu-Barton, Miquel
last_name: Oliu-Barton
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
citation:
ama: Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. Value-positivity for matrix
games. Mathematics of Operations Research. 2024;50(4):2433-3282. doi:10.1287/moor.2022.0332
apa: Chatterjee, K., Oliu-Barton, M., & Saona Urmeneta, R. J. (2024). Value-positivity
for matrix games. Mathematics of Operations Research. Institute for Operations
Research and the Management Sciences. https://doi.org/10.1287/moor.2022.0332
chicago: Chatterjee, Krishnendu, Miquel Oliu-Barton, and Raimundo J Saona Urmeneta.
“Value-Positivity for Matrix Games.” Mathematics of Operations Research.
Institute for Operations Research and the Management Sciences, 2024. https://doi.org/10.1287/moor.2022.0332.
ieee: K. Chatterjee, M. Oliu-Barton, and R. J. Saona Urmeneta, “Value-positivity
for matrix games,” Mathematics of Operations Research, vol. 50, no. 4.
Institute for Operations Research and the Management Sciences, pp. 2433–3282,
2024.
ista: Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. 2024. Value-positivity for
matrix games. Mathematics of Operations Research. 50(4), 2433–3282.
mla: Chatterjee, Krishnendu, et al. “Value-Positivity for Matrix Games.” Mathematics
of Operations Research, vol. 50, no. 4, Institute for Operations Research
and the Management Sciences, 2024, pp. 2433–3282, doi:10.1287/moor.2022.0332.
short: K. Chatterjee, M. Oliu-Barton, R.J. Saona Urmeneta, Mathematics of Operations
Research 50 (2024) 2433–3282.
corr_author: '1'
date_created: 2024-10-09T07:02:20Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-29T13:14:36Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2022.0332
ec_funded: 1
external_id:
isi:
- '001328875900001'
intvolume: ' 50'
isi: 1
issue: '4'
language:
- iso: eng
month: '10'
oa_version: None
page: 2433-3282
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Mathematics of Operations Research
publication_identifier:
eissn:
- 1526-5471
issn:
- 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
related_material:
record:
- id: '20234'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Value-positivity for matrix games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2024'
...
---
OA_place: repository
_id: '19545'
abstract:
- lang: eng
text: "We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly
in the entire spectrum, in particular near the spectral edges, with a\r\nbound
on the fluctuation that is optimal for any observable. This complements\r\nearlier
works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma
10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142)
that were restricted either to the bulk of the spectrum or to\r\nspecial observables.
As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally
accounts for the edge scaling."
acknowledgement: Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.
article_processing_charge: No
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
citation:
ama: Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for
Wigner matrices. arXiv. doi:10.48550/arXiv.2309.05488
apa: Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation
at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488
chicago: Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate
Thermalisation at the Edge for Wigner Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2309.05488.
ieee: G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the
edge for Wigner matrices,” arXiv. .
ista: Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for
Wigner matrices. arXiv, 10.48550/arXiv.2309.05488.
mla: Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner
Matrices.” ArXiv, doi:10.48550/arXiv.2309.05488.
short: G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T08:19:22Z
date_published: 2024-12-17T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '17'
department:
- _id: LaEr
doi: 10.48550/arXiv.2309.05488
ec_funded: 1
external_id:
arxiv:
- '2309.05488'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2309.05488
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: arXiv
publication_status: draft
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Eigenstate thermalisation at the edge for Wigner matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19550'
abstract:
- lang: eng
text: "We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band
superconductor the effect of inter-band coupling can only increase\r\nthe critical
temperature, irrespective of its attractive or repulsive nature\r\nand its strength.
Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the
dependence of the increase in critical temperature on the\r\ninter-band coupling
is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands,
or (2) quadratic, if there is only one dominating band."
article_processing_charge: No
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Edwin
full_name: Langmann, Edwin
last_name: Langmann
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297
apa: Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors
have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297
chicago: Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band
Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.
ieee: S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors
have enhanced critical temperatures,” arXiv. .
ista: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv, 10.48550/arXiv.2409.17297.
mla: Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical
Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.
short: S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T11:43:58Z
date_published: 2024-10-21T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '21'
department:
- _id: LaEr
- _id: RoSe
doi: 10.48550/arXiv.2409.17297
external_id:
arxiv:
- '2409.17297'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.17297
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '22290'
relation: later_version
status: public
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Multi-band superconductors have enhanced critical temperatures
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '17049'
abstract:
- lang: eng
text: We consider large non-Hermitian NxN matrices with an additive independent,
identically distributed (i.i.d.) noise for each matrix elements. We show that
already a small noise of variance 1/N completely thermalises the bulk singular
vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity
(QUE) with an optimal speed of convergence. In physics terms, we thus extend the
Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and
proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an
i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal
overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also
known as the (square of the) eigenvalue condition number measuring the sensitivity
of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment
beyond the explicitly computable Ginibre ensemble apart from the very recent upper
bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition
of general observables in random matrix theory that governs the size of products
of resolvents with deterministic matrices in between.
acknowledgement: "Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported
by the SNSF Ambizione Grant PZ00P2_209089."
article_number: '110495'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector
overlaps for non-Hermitian random matrices. Journal of Functional Analysis.
2024;287(4). doi:10.1016/j.jfa.2024.110495
apa: Cipolloni, G., Erdös, L., Henheik, S. J., & Schröder, D. J. (2024). Optimal
lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal
of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110495
chicago: Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder.
“Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.”
Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110495.
ieee: G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower
bound on eigenvector overlaps for non-Hermitian random matrices,” Journal of
Functional Analysis, vol. 287, no. 4. Elsevier, 2024.
ista: Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on
eigenvector overlaps for non-Hermitian random matrices. Journal of Functional
Analysis. 287(4), 110495.
mla: Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for
Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 287,
no. 4, 110495, Elsevier, 2024, doi:10.1016/j.jfa.2024.110495.
short: G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional
Analysis 287 (2024).
corr_author: '1'
date_created: 2024-05-26T22:00:57Z
date_published: 2024-08-15T00:00:00Z
date_updated: 2026-07-29T13:18:17Z
day: '15'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1016/j.jfa.2024.110495
ec_funded: 1
external_id:
isi:
- '001325502400001'
file:
- access_level: open_access
checksum: 07d3f73e0c56e68eb110851842c22ee0
content_type: application/pdf
creator: dernst
date_created: 2025-06-24T13:14:21Z
date_updated: 2025-06-24T13:14:21Z
file_id: '19891'
file_name: 2025_JourFunctionalAnalysis_Cipolloni.pdf
file_size: 1374854
relation: main_file
success: 1
file_date_updated: 2025-06-24T13:14:21Z
has_accepted_license: '1'
intvolume: ' 287'
isi: 1
issue: '4'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Functional Analysis
publication_identifier:
eissn:
- 1096-0783
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 287
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '14542'
abstract:
- lang: eng
text: "It is a remarkable property of BCS theory that the ratio of the energy gap
at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given
by a universal constant, independent of the microscopic details of the fermionic
interaction. This universality has rigorously been proven quite recently in three
spatial dimensions and three different limiting regimes: weak coupling, low density
and high density. The goal of this short note is to extend the universal behavior
to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."
acknowledgement: We thank Robert Seiringer for comments on the paper. J. H. gratefully
acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond”No.
101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber
I6427.
article_number: '2360005 '
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
citation:
ama: Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory.
Reviews in Mathematical Physics. 2024;36(9). doi:10.1142/s0129055x2360005x
apa: Henheik, S. J., Lauritsen, A. B., & Roos, B. (2024). Universality in low-dimensional
BCS theory. Reviews in Mathematical Physics. World Scientific Publishing.
https://doi.org/10.1142/s0129055x2360005x
chicago: Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality
in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics. World
Scientific Publishing, 2024. https://doi.org/10.1142/s0129055x2360005x.
ieee: S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional
BCS theory,” Reviews in Mathematical Physics, vol. 36, no. 9. World Scientific
Publishing, 2024.
ista: Henheik SJ, Lauritsen AB, Roos B. 2024. Universality in low-dimensional BCS
theory. Reviews in Mathematical Physics. 36(9), 2360005.
mla: Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.”
Reviews in Mathematical Physics, vol. 36, no. 9, 2360005, World Scientific
Publishing, 2024, doi:10.1142/s0129055x2360005x.
short: S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36
(2024).
corr_author: '1'
date_created: 2023-11-15T23:48:14Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '01'
ddc:
- '510'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1142/s0129055x2360005x
ec_funded: 1
external_id:
arxiv:
- '2301.05621'
isi:
- '001099640300002'
file:
- access_level: open_access
checksum: 2b053a4223b4db14b90520999ec56054
content_type: application/pdf
creator: dernst
date_created: 2025-01-09T07:56:28Z
date_updated: 2025-01-09T07:56:28Z
file_id: '18786'
file_name: 2024_ReviewsmathPhysics_Henheik.pdf
file_size: 503910
relation: main_file
success: 1
file_date_updated: 2025-01-09T07:56:28Z
has_accepted_license: '1'
intvolume: ' 36'
isi: 1
issue: '9'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
related_material:
record:
- id: '18135'
relation: dissertation_contains
status: public
- id: '19540'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Universality in low-dimensional BCS 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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '18656'
abstract:
- lang: eng
text: "We consider the time evolution of the out-of-time-ordered correlator (OTOC)
of two general observables \r\n and \r\n in a mean field chaotic quantum system
described by a random Wigner matrix as its Hamiltonian. We rigorously identify
three time regimes separated by the physically relevant scrambling and relaxation
times. The main feature of our analysis is that we express the error terms in
the optimal Schatten (tracial) norms of the observables, allowing us to track
the exact dependence of the errors on their rank. In particular, for significantly
overlapping observables with low rank the OTOC is shown to exhibit a significant
local maximum at the scrambling time, a feature that may not have been noticed
in the physics literature before. Our main tool is a novel multi-resolvent local
law with Schatten norms that unifies and improves previous local laws involving
either the much cruder operator norm (cf. [10]) or the Hilbert-Schmidt norm (cf.
[11])."
acknowledgement: LE and JH were supported by the ERC Advanced Grant łRMTBeyondž No.
101020331
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
citation:
ama: Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner
matrices. Advances in Theoretical and Mathematical Physics. 2024;28(6):2025-2083.
doi:10.4310/ATMP.241031013250
apa: Cipolloni, G., Erdös, L., & Henheik, S. J. (2024). Out-of-time-ordered
correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics.
International Press of Boston. https://doi.org/10.4310/ATMP.241031013250
chicago: Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Out-of-Time-Ordered
Correlators for Wigner Matrices.” Advances in Theoretical and Mathematical
Physics. International Press of Boston, 2024. https://doi.org/10.4310/ATMP.241031013250.
ieee: G. Cipolloni, L. Erdös, and S. J. Henheik, “Out-of-time-ordered correlators
for Wigner matrices,” Advances in Theoretical and Mathematical Physics,
vol. 28, no. 6. International Press of Boston, pp. 2025–2083, 2024.
ista: Cipolloni G, Erdös L, Henheik SJ. 2024. Out-of-time-ordered correlators for
Wigner matrices. Advances in Theoretical and Mathematical Physics. 28(6), 2025–2083.
mla: Cipolloni, Giorgio, et al. “Out-of-Time-Ordered Correlators for Wigner Matrices.”
Advances in Theoretical and Mathematical Physics, vol. 28, no. 6, International
Press of Boston, 2024, pp. 2025–83, doi:10.4310/ATMP.241031013250.
short: G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical
Physics 28 (2024) 2025–2083.
corr_author: '1'
das_tickbox: '1'
date_created: 2024-12-15T23:01:51Z
date_published: 2024-10-30T00:00:00Z
date_updated: 2026-07-29T13:18:17Z
day: '30'
department:
- _id: LaEr
doi: 10.4310/ATMP.241031013250
ec_funded: 1
external_id:
arxiv:
- '2402.17609'
intvolume: ' 28'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2402.17609
month: '10'
oa: 1
oa_version: Preprint
page: 2025-2083
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Advances in Theoretical and Mathematical Physics
publication_identifier:
eissn:
- 1095-0753
issn:
- 1095-0761
publication_status: published
publisher: International Press of Boston
quality_controlled: '1'
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Out-of-time-ordered correlators for Wigner matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2024'
...
---
OA_place: repository
_id: '19547'
abstract:
- lang: eng
text: "For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat
the local eigenvalue statistics at any cusp singularity are universal.\r\nSince
the density of states typically exhibits only square root edge or cubic\r\nroot
cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta
universality conjecture in all spectral regimes for a very\r\ngeneral class of
random matrices. Previously only the bulk and the edge\r\nuniversality were established
in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only
for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055].
As our main technical input, we prove an\r\noptimal local law at the cusp using
the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and
a Green function comparison argument.\r\nMoreover, our proof of the optimal local
law holds uniformly in the spectrum,\r\nthus also re-establishing universality
of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661]
and edge [arXiv:1804.07744]\r\nregimes."
acknowledgement: "Supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo. 101020331."
article_processing_charge: No
arxiv: 1
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Volodymyr
full_name: Riabov, Volodymyr
id: 1949f904-edfb-11eb-afb5-e2dfddabb93b
last_name: Riabov
citation:
ama: Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices.
arXiv. doi:10.48550/arXiv.2410.06813
apa: Erdös, L., Henheik, S. J., & Riabov, V. (n.d.). Cusp universality for correlated
random matrices. arXiv. https://doi.org/10.48550/arXiv.2410.06813
chicago: Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality
for Correlated Random Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.06813.
ieee: L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated
random matrices,” arXiv. .
ista: Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices.
arXiv, 10.48550/arXiv.2410.06813.
mla: Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” ArXiv,
doi:10.48550/arXiv.2410.06813.
short: L. Erdös, S.J. Henheik, V. Riabov, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T08:48:21Z
date_published: 2024-11-03T00:00:00Z
date_updated: 2026-07-29T13:18:17Z
day: '03'
department:
- _id: LaEr
doi: 10.48550/arXiv.2410.06813
ec_funded: 1
external_id:
arxiv:
- '2410.06813'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.06813
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: arXiv
publication_status: draft
related_material:
record:
- id: '20322'
relation: later_version
status: public
- id: '20575'
relation: dissertation_contains
status: public
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Cusp universality for correlated random matrices
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19551'
abstract:
- lang: eng
text: "We introduce a notion of a \\emph{local gap} for interacting many-body quantum
lattice systems and prove the validity of response theory and Kubo's formula for
localized perturbations in such settings.\r\nOn a high level, our result shows
that the usual spectral gap condition, concerning the system as a whole, is not
a necessary condition for understanding local properties of the system.\r\nMore
precisely, we say that an equilibrium state ρ0 of a Hamiltonian H0 is locally
gapped in Λgap⊂Λ, whenever the Liouvillian −i[H0,⋅] is almost invertible on local
observables supported in Λgap when tested in ρ0.\r\nTo put this into context,
we provide other alternative notions of a local gap and discuss their relations.\r\nThe
validity of response theory is based on the construction of \\emph{non-equilibrium
almost stationary states} (NEASSs).\r\nBy controlling locality properties of the
NEASS construction, we show that response theory holds to any order, whenever
the perturbation \\(\\epsilon V\\) acts in a region which is further than |logϵ|
away from the non-gapped region Λ∖Λgap."
article_processing_charge: No
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Tom
full_name: Wessel, Tom
last_name: Wessel
citation:
ama: Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv.
doi:10.48550/arXiv.2410.10809
apa: Henheik, S. J., & Wessel, T. (n.d.). Response theory for locally gapped
systems. arXiv. https://doi.org/10.48550/arXiv.2410.10809
chicago: Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped
Systems.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.10809.
ieee: S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,”
arXiv. .
ista: Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv, 10.48550/arXiv.2410.10809.
mla: Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.”
ArXiv, doi:10.48550/arXiv.2410.10809.
short: S.J. Henheik, T. Wessel, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T11:54:56Z
date_published: 2024-10-14T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '14'
department:
- _id: LaEr
doi: 10.48550/arXiv.2410.10809
external_id:
arxiv:
- '2410.10809'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.10809
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Response theory for locally gapped systems
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: publisher
_id: '17485'
abstract:
- lang: eng
text: "Large language models (LLMs) have made tremendous progress in the past few
years, from being able to generate coherent text to matching or surpassing humans
in a wide variety of creative, knowledge or reasoning tasks. Much of this can
be attributed to massively increased scale, both in the size of the model as well
as the amount of training data, from 100s of millions to 100s of billions, or
even trillions. This trend is expected to continue, which, although exciting,
also raises major practical concerns. Already today's 100+ billion parameter LLMs
require top-of-the-line hardware just to run. Hence, it is clear that sustaining
these developments will require significant efficiency advances.\r\n\r\nHistorically,
one of the most practical ways of improving model efficiency has been compression,
especially in the form of sparsity or quantization. While this has been studied
extensively in the past, existing accurate methods are all designed for models
around 100 million parameters; scaling them up to ones literally 1000x larger
is highly challenging. In this thesis, we introduce a new unified sparsification
and quantization approach OBC, which through additional algorithmic enhancements
leads to GPTQ and SparseGPT, the first techniques fast and accurate enough to
compress 100+ billion parameter models to 4- or even 3-bit precision and 50% weight-sparsity,
respectively. Additionally, we show how weight-only quantizion does not just bring
space savings but also up to 4.5x faster generation speed, via custom GPU kernels.\r\n\r\nIn
fact, we show for the first time that it is possible to develop an FP16 times
INT4 mixed-precision matrix multiplication kernel, called Marlin, which comes
close to simultaneously maximizing both memory and compute utilization, making
weight-only quantization highly practical even for multi-user serving. Further,
we demonstrate that GPTQ can be scaled to widely overparametrized trillion-parameter
models, where extreme sub-1-bit compression rates can be achieved without any
inference slow-down, by co-designing a bespoke entropy coding scheme together
with an efficient kernel.\r\n\r\nFinally, we also study compression from the perspective
of someone with access to massive amounts of compute resources for training large
models completely from scratch. Here the key questions evolve around the joint
scaling behavior between compression, model size, and amount of training data
used. Based on extensive experimental results for both vision and text models,
we introduce the first scaling law which accurately captures the relationship
between weight-sparsity, number of non-zero weights and data. This further allows
us to characterize the optimal sparsity, which we find to increase the longer
a fixed cost model is being trained.\r\n\r\nOverall, this thesis presents contributions
to three different angles of large model efficiency: affordable but accurate algorithms,
highly efficient systems implementations, and fundamental scaling laws for compressed
training."
acknowledged_ssus:
- _id: ScienComp
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Elias
full_name: Frantar, Elias
id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f
last_name: Frantar
citation:
ama: 'Frantar E. Compressing large neural networks: Algorithms, systems and scaling
laws. 2024. doi:10.15479/at:ista:17485'
apa: 'Frantar, E. (2024). Compressing large neural networks: Algorithms, systems
and scaling laws. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:17485'
chicago: 'Frantar, Elias. “Compressing Large Neural Networks: Algorithms, Systems
and Scaling Laws.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:17485.'
ieee: 'E. Frantar, “Compressing large neural networks: Algorithms, systems and scaling
laws,” Institute of Science and Technology Austria, 2024.'
ista: 'Frantar E. 2024. Compressing large neural networks: Algorithms, systems and
scaling laws. Institute of Science and Technology Austria.'
mla: 'Frantar, Elias. Compressing Large Neural Networks: Algorithms, Systems
and Scaling Laws. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:17485.'
short: 'E. Frantar, Compressing Large Neural Networks: Algorithms, Systems and Scaling
Laws, Institute of Science and Technology Austria, 2024.'
corr_author: '1'
date_created: 2024-09-02T11:01:48Z
date_published: 2024-09-05T00:00:00Z
date_updated: 2026-07-29T13:48:40Z
day: '05'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: GradSch
- _id: DaAl
doi: 10.15479/at:ista:17485
doi_confirm: '1'
ec_funded: 1
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checksum: 5d785645805a78c5b4ce7cc3df557b09
content_type: application/zip
creator: efrantar
date_created: 2024-09-05T12:04:11Z
date_updated: 2024-09-05T12:04:11Z
file_id: '17570'
file_name: thesis-final.zip
file_size: 1615167
relation: source_file
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checksum: a9dd1c2d23734986924eb44ebb55fd8f
content_type: application/pdf
creator: efrantar
date_created: 2024-09-06T16:24:59Z
date_updated: 2024-09-06T16:24:59Z
file_id: '17880'
file_name: frantar_thesis_final.pdf
file_size: 2376611
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success: 1
file_date_updated: 2024-09-06T16:24:59Z
has_accepted_license: '1'
language:
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month: '09'
oa: 1
oa_version: Published Version
page: '129'
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '805223'
name: Elastic Coordination for Scalable Machine Learning
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '17378'
relation: part_of_dissertation
status: public
- id: '17087'
relation: part_of_dissertation
status: public
- id: '14458'
relation: part_of_dissertation
status: public
- id: '18062'
relation: part_of_dissertation
status: public
- id: '18061'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Dan-Adrian
full_name: Alistarh, Dan-Adrian
id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
last_name: Alistarh
orcid: 0000-0003-3650-940X
title: 'Compressing large neural networks: Algorithms, systems and scaling laws'
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
_id: '18062'
abstract:
- lang: eng
text: 'We explore the impact of parameter sparsity on the scaling behavior of Transformers
trained on massive datasets (i.e., "foundation models"), in both vision and language
domains. In this setting, we identify the first scaling law describing the relationship
between weight sparsity, number of non-zero parameters, and amount of training
data, which we validate empirically across model and data scales; on ViT/JFT-4B
and T5/C4. These results allow us to characterize the "optimal sparsity", the
sparsity level which yields the best performance for a given effective model size
and training budget. For a fixed number of non-zero parameters, we identify that
the optimal sparsity increases with the amount of data used for training. We also
extend our study to different sparsity structures (such as the hardware-friendly
n:m pattern) and strategies (such as starting from a pretrained dense model).
Our findings shed light on the power and limitations of weight sparsity across
various parameter and computational settings, offering both theoretical understanding
and practical implications for leveraging sparsity towards computational efficiency
improvements. We provide pruning and scaling law fitting code at: github.com/google-research/jaxpruner/tree/main/jaxpruner/projects/bigsparse.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Elias
full_name: Frantar, Elias
id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f
last_name: Frantar
- first_name: Carlos Riquelme
full_name: Ruiz, Carlos Riquelme
last_name: Ruiz
- first_name: Neil
full_name: Houlsby, Neil
last_name: Houlsby
- first_name: Dan-Adrian
full_name: Alistarh, Dan-Adrian
id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
last_name: Alistarh
orcid: 0000-0003-3650-940X
- first_name: Utku
full_name: Evci, Utku
last_name: Evci
citation:
ama: 'Frantar E, Ruiz CR, Houlsby N, Alistarh D-A, Evci U. Scaling laws for sparsely-connected
foundation models. In: The Twelfth International Conference on Learning Representations.
; 2024.'
apa: Frantar, E., Ruiz, C. R., Houlsby, N., Alistarh, D.-A., & Evci, U. (2024).
Scaling laws for sparsely-connected foundation models. In The Twelfth International
Conference on Learning Representations. Vienna, Austria.
chicago: Frantar, Elias, Carlos Riquelme Ruiz, Neil Houlsby, Dan-Adrian Alistarh,
and Utku Evci. “Scaling Laws for Sparsely-Connected Foundation Models.” In The
Twelfth International Conference on Learning Representations, 2024.
ieee: E. Frantar, C. R. Ruiz, N. Houlsby, D.-A. Alistarh, and U. Evci, “Scaling
laws for sparsely-connected foundation models,” in The Twelfth International
Conference on Learning Representations, Vienna, Austria, 2024.
ista: 'Frantar E, Ruiz CR, Houlsby N, Alistarh D-A, Evci U. 2024. Scaling laws for
sparsely-connected foundation models. The Twelfth International Conference on
Learning Representations. ICLR: International Conference on Learning Representations.'
mla: Frantar, Elias, et al. “Scaling Laws for Sparsely-Connected Foundation Models.”
The Twelfth International Conference on Learning Representations, 2024.
short: E. Frantar, C.R. Ruiz, N. Houlsby, D.-A. Alistarh, U. Evci, in:, The Twelfth
International Conference on Learning Representations, 2024.
conference:
end_date: 2024-05-07
location: Vienna, Austria
name: 'ICLR: International Conference on Learning Representations'
start_date: 2024-05-07
corr_author: '1'
date_created: 2024-09-13T10:31:08Z
date_published: 2024-01-16T00:00:00Z
date_updated: 2026-07-29T13:48:40Z
day: '16'
ddc:
- '000'
department:
- _id: DaAl
external_id:
arxiv:
- '2309.08520'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://openreview.net/forum?id=i9K2ZWkYIP
month: '01'
oa: 1
oa_version: Published Version
publication: The Twelfth International Conference on Learning Representations
publication_status: published
quality_controlled: '1'
related_material:
record:
- id: '17485'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Scaling laws for sparsely-connected foundation models
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...