---
OA_place: publisher
OA_type: hybrid
_id: '21778'
abstract:
- lang: eng
text: "We prove that every \U0001D43F-bilipschitz mapping ℤ 2 → ℝ2 canbe extended
to a \U0001D436(\U0001D43F)-bilipschitz mapping ℝ2 → ℝ2,and we provide a polynomial
upper bound for \U0001D436(\U0001D43F).Moreover, we extend the result to every
separated netin ℝ2 instead of ℤ 2, with the upper bound gaininga polynomial dependence
on the separation and netconstants associated to the given separated net. Thisanswers
an Oberwolfach question of Navas from 2015and is also a positive solution of the
two-dimensionalform of a decades old open (in all dimensions at leasttwo) problem
due to Alestalo Trotsenko and Väisälä."
acknowledgement: The authors wish to thank Professor Leonid Kovalev for a valuable
observation on the first versionof this work, which led to improved estimates and
cleaner proofs in Section 6. The present workdeveloped from a research visit of
Michael Dymond to Vojtěch Kaluža at IST Austria, funded by aLondon Mathematical
Society Research in Pairs grant. This work was done whilst Vojtěch Kalužawas fully
funded by the Austria Science Fund (FWF) [M 3100-N].
article_number: e70540
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Michael
full_name: Dymond, Michael
last_name: Dymond
- first_name: Vojtech
full_name: Kaluza, Vojtech
id: 21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E
last_name: Kaluza
orcid: 0000-0002-2512-8698
citation:
ama: Dymond M, Kaluza V. Planar bilipschitz extension from separated nets. Journal
of the London Mathematical Society. 2026;113(4). doi:10.1112/jlms.70540
apa: Dymond, M., & Kaluza, V. (2026). Planar bilipschitz extension from separated
nets. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.70540
chicago: Dymond, Michael, and Vojtech Kaluza. “Planar Bilipschitz Extension from
Separated Nets.” Journal of the London Mathematical Society. Wiley, 2026.
https://doi.org/10.1112/jlms.70540.
ieee: M. Dymond and V. Kaluza, “Planar bilipschitz extension from separated nets,”
Journal of the London Mathematical Society, vol. 113, no. 4. Wiley, 2026.
ista: Dymond M, Kaluza V. 2026. Planar bilipschitz extension from separated nets.
Journal of the London Mathematical Society. 113(4), e70540.
mla: Dymond, Michael, and Vojtech Kaluza. “Planar Bilipschitz Extension from Separated
Nets.” Journal of the London Mathematical Society, vol. 113, no. 4, e70540,
Wiley, 2026, doi:10.1112/jlms.70540.
short: M. Dymond, V. Kaluza, Journal of the London Mathematical Society 113 (2026).
date_created: 2026-05-03T22:01:37Z
date_published: 2026-04-01T00:00:00Z
date_updated: 2026-05-07T08:29:18Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.1112/jlms.70540
external_id:
arxiv:
- '2410.22294'
file:
- access_level: open_access
checksum: 6dbfc7134f732d17c5c8467843a73e90
content_type: application/pdf
creator: dernst
date_created: 2026-05-07T08:27:43Z
date_updated: 2026-05-07T08:27:43Z
file_id: '21836'
file_name: 2026_JourLondonMathSoc_Dymond.pdf
file_size: 617569
relation: main_file
success: 1
file_date_updated: 2026-05-07T08:27:43Z
has_accepted_license: '1'
intvolume: ' 113'
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: fc35eaa2-9c52-11eb-aca3-88501ab155e9
grant_number: M03100
name: Spectra and topology of graphs and of simplicial complexes
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Planar bilipschitz extension from separated nets
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: 113
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21002'
abstract:
- lang: eng
text: The Davenport–Heilbronn method is a version of the circle method that was
developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn,
J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the
paper, together with an account of the development of the subject in the intervening
80 years.
acknowledgement: "The author is very grateful to Jörg Brüdern, Simon Rydin Myerson
and Trevor Wooley for their help and advice with preparing this survey, in addition
to Vinay Kumaraswamy, Victor Wang and the anonymous referee for useful comments
on an earlier draft. This work was supported by a FWF Grant (DOI 10.55776/P36278).\r\nOpen
Access funding provided by Institute of Science and Technology Austria/KEMÖ."
article_number: e70371
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: 'Browning TD. The Davenport–Heilbronn method: 80 years on. Journal of the
London Mathematical Society. 2026;113(1). doi:10.1112/jlms.70371'
apa: 'Browning, T. D. (2026). The Davenport–Heilbronn method: 80 years on. Journal
of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.70371'
chicago: 'Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” Journal
of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/jlms.70371.'
ieee: 'T. D. Browning, “The Davenport–Heilbronn method: 80 years on,” Journal
of the London Mathematical Society, vol. 113, no. 1. Wiley, 2026.'
ista: 'Browning TD. 2026. The Davenport–Heilbronn method: 80 years on. Journal of
the London Mathematical Society. 113(1), e70371.'
mla: 'Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” Journal
of the London Mathematical Society, vol. 113, no. 1, e70371, Wiley, 2026,
doi:10.1112/jlms.70371.'
short: T.D. Browning, Journal of the London Mathematical Society 113 (2026).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-01-18T23:02:44Z
date_published: 2026-01-06T00:00:00Z
date_updated: 2026-07-16T08:33:56Z
day: '06'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1112/jlms.70371
file:
- access_level: open_access
checksum: 3b05bd625c81d038259a14f7e2ddd57c
content_type: application/pdf
creator: dernst
date_created: 2026-01-19T08:19:46Z
date_updated: 2026-01-19T08:19:46Z
file_id: '21004'
file_name: 2026_JourLondonMathSoc_Browning.pdf
file_size: 235238
relation: main_file
success: 1
file_date_updated: 2026-01-19T08:19:46Z
has_accepted_license: '1'
intvolume: ' 113'
issue: '1'
language:
- iso: eng
month: '01'
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: Wiley
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: 'The Davenport–Heilbronn method: 80 years on'
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: 113
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19418'
abstract:
- lang: eng
text: The size-Ramsey number r^(H) of a graph H is the smallest number of edges
a (host) graph G can have, such that for any red/blue colouring of G, there is
a monochromatic copy of H in G. Recently, Conlon, Nenadov and Trujić showed that
if H is a graph on n vertices and maximum degree three, then r^(H)=O(n8/5), improving
upon the upper bound of n5/3+o(1) by Kohayakawa, Rödl, Schacht and Szemerédi.
In this paper we show that r^(H)≤n3/2+o(1). While the previously used host graphs
were vanilla binomial random graphs, we prove our result using a novel host graph
construction. Our bound hits a natural barrier of the existing methods.
acknowledgement: 'We would like to thank Rajko Nenadov and Miloš Trujić for helpful
comments and discussions, as well as the anonymous referees for their very useful
feedback, which improved the paper considerably. This research was supported by
SNSF Project 217926. Part of this research was conducted while Nemanja Draganić
was at ETH Zürich, Switzerland, and partially supported by SNSF Grant 200021_196965.
This project has received funding from the European Union''s Horizon 2020 research
and innovation programme under the Marie Skłodowska-Curie Grant Agreement Number:
101034413. Part of this research was conducted while Kalina Petrova was at the Department
of Computer Science, ETH Zürich, Switzerland, supported by SNSF Grant CRSII5 173721.'
article_number: e70116
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nemanja
full_name: Draganić, Nemanja
last_name: Draganić
- first_name: Kalina H
full_name: Petrova, Kalina H
id: 554ff4e4-f325-11ee-b0c4-a10dbd523381
last_name: Petrova
citation:
ama: Draganić N, Petrova KH. Size‐Ramsey numbers of graphs with maximum degree three.
Journal of the London Mathematical Society. 2025;111(3). doi:10.1112/jlms.70116
apa: Draganić, N., & Petrova, K. H. (2025). Size‐Ramsey numbers of graphs with
maximum degree three. Journal of the London Mathematical Society. Wiley.
https://doi.org/10.1112/jlms.70116
chicago: Draganić, Nemanja, and Kalina H Petrova. “Size‐Ramsey Numbers of Graphs
with Maximum Degree Three.” Journal of the London Mathematical Society.
Wiley, 2025. https://doi.org/10.1112/jlms.70116.
ieee: N. Draganić and K. H. Petrova, “Size‐Ramsey numbers of graphs with maximum
degree three,” Journal of the London Mathematical Society, vol. 111, no.
3. Wiley, 2025.
ista: Draganić N, Petrova KH. 2025. Size‐Ramsey numbers of graphs with maximum degree
three. Journal of the London Mathematical Society. 111(3), e70116.
mla: Draganić, Nemanja, and Kalina H. Petrova. “Size‐Ramsey Numbers of Graphs with
Maximum Degree Three.” Journal of the London Mathematical Society, vol.
111, no. 3, e70116, Wiley, 2025, doi:10.1112/jlms.70116.
short: N. Draganić, K.H. Petrova, Journal of the London Mathematical Society 111
(2025).
date_created: 2025-03-19T09:03:37Z
date_published: 2025-03-01T00:00:00Z
date_updated: 2025-09-30T11:05:07Z
day: '01'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1112/jlms.70116
ec_funded: 1
external_id:
arxiv:
- '2207.05048'
isi:
- '001450645400019'
file:
- access_level: open_access
checksum: d8e0a03286a44c4f672709e3c829206e
content_type: application/pdf
creator: dernst
date_created: 2025-03-20T09:46:20Z
date_updated: 2025-03-20T09:46:20Z
file_id: '19427'
file_name: 2025_JournLondonMath_Draganic.pdf
file_size: 625974
relation: main_file
success: 1
file_date_updated: 2025-03-20T09:46:20Z
has_accepted_license: '1'
intvolume: ' 111'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Size‐Ramsey numbers of graphs with maximum degree three
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: 111
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19554'
abstract:
- lang: eng
text: 'In 1981, Karp and Sipser proved a law of large numbers for the matching number
of a sparse Erdős–Rényi random graph, in an influential paper pioneering the so-called
differential equation method for analysis of random graph processes. Strengthening
this classical result, and answering a question of Aronson, Frieze and Pittel,
we prove a central limit theorem in the same setting: the fluctuations in the
matching number of a sparse random graph are asymptotically Gaussian. Our new
contribution is to prove this central limit theorem in the subcritical and critical
regimes, according to a celebrated algorithmic phase transition first observed
by Karp and Sipser. Indeed, in the supercritical regime, a central limit theorem
has recently been proved in the PhD thesis of Kreačić, using a stochastic generalisation
of the differential equation method (comparing the so-called Karp–Sipser process
to a system of stochastic differential equations). Our proof builds on these methods,
and introduces new techniques to handle certain degeneracies present in the subcritical
and critical cases. Curiously, our new techniques lead to a non-constructive result:
we are able to characterise the fluctuations of the matching number around its
mean, despite these fluctuations being much smaller than the error terms in our
best estimates of the mean. We also prove a central limit theorem for the rank
of the adjacency matrix of a sparse random graph.'
acknowledgement: "We would like to thank Christina Goldschmidt and Eleonora Kreačić
for insightful discussions and clarifications about their work in the thesis [26].
Matthew Kwan was supported by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Ashwin
Sah and Mehtaab Sawhney were supported by NSF Graduate Research Fellowship Program
DGE-2141064. Ashwin Sah was supported by the PD Soros Fellowship.\r\nOpen access
funding provided by Institute of Science and Technology Austria/KEMÖ."
article_number: e70101
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Margalit
full_name: Glasgow, Margalit
last_name: Glasgow
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Ashwin
full_name: Sah, Ashwin
last_name: Sah
- first_name: Mehtaab
full_name: Sawhney, Mehtaab
last_name: Sawhney
citation:
ama: Glasgow M, Kwan MA, Sah A, Sawhney M. A central limit theorem for the matching
number of a sparse random graph. Journal of the London Mathematical Society.
2025;111(4). doi:10.1112/jlms.70101
apa: Glasgow, M., Kwan, M. A., Sah, A., & Sawhney, M. (2025). A central limit
theorem for the matching number of a sparse random graph. Journal of the London
Mathematical Society. Wiley. https://doi.org/10.1112/jlms.70101
chicago: Glasgow, Margalit, Matthew Alan Kwan, Ashwin Sah, and Mehtaab Sawhney.
“A Central Limit Theorem for the Matching Number of a Sparse Random Graph.” Journal
of the London Mathematical Society. Wiley, 2025. https://doi.org/10.1112/jlms.70101.
ieee: M. Glasgow, M. A. Kwan, A. Sah, and M. Sawhney, “A central limit theorem for
the matching number of a sparse random graph,” Journal of the London Mathematical
Society, vol. 111, no. 4. Wiley, 2025.
ista: Glasgow M, Kwan MA, Sah A, Sawhney M. 2025. A central limit theorem for the
matching number of a sparse random graph. Journal of the London Mathematical Society.
111(4), e70101.
mla: Glasgow, Margalit, et al. “A Central Limit Theorem for the Matching Number
of a Sparse Random Graph.” Journal of the London Mathematical Society,
vol. 111, no. 4, e70101, Wiley, 2025, doi:10.1112/jlms.70101.
short: M. Glasgow, M.A. Kwan, A. Sah, M. Sawhney, Journal of the London Mathematical
Society 111 (2025).
corr_author: '1'
date_created: 2025-04-13T22:01:19Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-09-30T11:35:55Z
day: '01'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1112/jlms.70101
external_id:
arxiv:
- '2402.05851'
isi:
- '001473087200024'
file:
- access_level: open_access
checksum: 69ce9feaf64e776b99f3afd1041b1b11
content_type: application/pdf
creator: dernst
date_created: 2025-04-15T13:18:43Z
date_updated: 2025-04-15T13:18:43Z
file_id: '19564'
file_name: 2025_JourLondMathSoc_Glasgow.pdf
file_size: 392208
relation: main_file
success: 1
file_date_updated: 2025-04-15T13:18:43Z
has_accepted_license: '1'
intvolume: ' 111'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: A central limit theorem for the matching number of a sparse random graph
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 111
year: '2025'
...
---
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).
date_created: 2024-11-03T23:01:44Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2025-09-08T14:29:45Z
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
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'
scopus_import: '1'
status: public
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'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18583'
abstract:
- lang: eng
text: "There are a number of well-known problems and conjectures about partitioning
graphs to satisfy local constraints. For example, the majority colouring conjecture
of Kreutzer, Oum, Seymour, van der Zypen and Wood states that every directed graph
has a 3-colouring such that for every vertex v, at most half of the out-neighbours
of v have the same colour as \r\n. As another example, the internal partition
conjecture, due to DeVos and to Ban and Linial, states that for every d, all but
finitely many d-regular graphs have a partition into two non-empty parts such
that for every vertex v, at least half of the neighbours of v lie in the same
part as v. We prove several results in this spirit: in particular, two of our
results are that the majority colouring conjecture holds for Erdős–Rényi random
directed graphs (of any density), and that the internal partition conjecture holds
if we permit a tiny number of ‘exceptional vertices’. Our proofs involve a variety
of techniques, including several different methods to analyse random recolouring
processes. One highlight is a personality-changing scheme: we ‘forget’ certain
information based on the state of a Markov chain, giving us more independence
to work with."
acknowledgement: "We are grateful to the anonymous referees for their thorough reading
of the paper, and for many suggestions which have improved the exposition throughout.\r\n\r\nMichael
Anastos was supported by the European Union's Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement No. 101034413. Matthew
Kwan was supported by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777, also funded
by the European Union image. Mihyun Kang was supported in part by the Austrian Science
Fund (FWF) [10.55776/I6502]. For the purpose of open access, the authors have applied
a CC-BY public copyright licence to any Author Accepted Manuscript version arising
from this submission."
article_number: e70010
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Michael
full_name: Anastos, Michael
id: 0b2a4358-bb35-11ec-b7b9-e3279b593dbb
last_name: Anastos
- first_name: Oliver
full_name: Cooley, Oliver
id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d
last_name: Cooley
- first_name: Mihyun
full_name: Kang, Mihyun
last_name: Kang
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
citation:
ama: Anastos M, Cooley O, Kang M, Kwan MA. Partitioning problems via random processes.
Journal of the London Mathematical Society. 2024;110(6). doi:10.1112/jlms.70010
apa: Anastos, M., Cooley, O., Kang, M., & Kwan, M. A. (2024). Partitioning problems
via random processes. Journal of the London Mathematical Society. Wiley.
https://doi.org/10.1112/jlms.70010
chicago: Anastos, Michael, Oliver Cooley, Mihyun Kang, and Matthew Alan Kwan. “Partitioning
Problems via Random Processes.” Journal of the London Mathematical Society.
Wiley, 2024. https://doi.org/10.1112/jlms.70010.
ieee: M. Anastos, O. Cooley, M. Kang, and M. A. Kwan, “Partitioning problems via
random processes,” Journal of the London Mathematical Society, vol. 110,
no. 6. Wiley, 2024.
ista: Anastos M, Cooley O, Kang M, Kwan MA. 2024. Partitioning problems via random
processes. Journal of the London Mathematical Society. 110(6), e70010.
mla: Anastos, Michael, et al. “Partitioning Problems via Random Processes.” Journal
of the London Mathematical Society, vol. 110, no. 6, e70010, Wiley, 2024,
doi:10.1112/jlms.70010.
short: M. Anastos, O. Cooley, M. Kang, M.A. Kwan, Journal of the London Mathematical
Society 110 (2024).
corr_author: '1'
date_created: 2024-11-24T23:01:48Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2025-12-02T13:52:26Z
day: '01'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1112/jlms.70010
ec_funded: 1
external_id:
arxiv:
- '2307.06453'
isi:
- '001374738100001'
file:
- access_level: open_access
checksum: 98e301e0565d75e3fb50e10e982a5018
content_type: application/pdf
creator: dernst
date_created: 2024-12-10T08:10:39Z
date_updated: 2024-12-10T08:10:39Z
file_id: '18639'
file_name: 2024_JournLondonMathSoc_Anastos.pdf
file_size: 539891
relation: main_file
success: 1
file_date_updated: 2024-12-10T08:10:39Z
has_accepted_license: '1'
intvolume: ' 110'
isi: 1
issue: '6'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Partitioning problems via random processes
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: 110
year: '2024'
...
---
_id: '17447'
abstract:
- lang: eng
text: Let F be a diagonal cubic form over Z in six variables. From the dual variety
in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally
extract a weighted count of certain special integral zeros of F in regions of
diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis
differs and captures some novel features. We also put forth an axiomatic framework
for more general F.
acknowledgement: This paper is an important component of the thesis work described
in [25]; many of my acknowledgements there apply here as well. I also thank my advisor,
Peter Sarnak, for many helpful suggestions and questions on the exposition, references,
assumptions, and scope of (various drafts of) the present work. I am also grateful
to Trevor Wooley for providing some helpful general comments on special subvarieties
and the reference [24]. I thank Tim Browning for inspiring part of the current title
of the paper. Finally, thanks are due to the referee for providing many helpful
suggestions. This work was partially supported by NSF grant DMS-1802211, and the
European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
Grant AgreementNo. 101034413.
article_number: e12975
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Victor
full_name: Wang, Victor
id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
last_name: Wang
orcid: 0000-0002-0704-7026
citation:
ama: Wang V. Special cubic zeros and the dual variety. Journal of the London
Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975
apa: Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the
London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975
chicago: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of
the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975.
ieee: V. Wang, “Special cubic zeros and the dual variety,” Journal of the London
Mathematical Society, vol. 110, no. 3. Wiley, 2024.
ista: Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London
Mathematical Society. 110(3), e12975.
mla: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the
London Mathematical Society, vol. 110, no. 3, e12975, Wiley, 2024, doi:10.1112/jlms.12975.
short: V. Wang, Journal of the London Mathematical Society 110 (2024).
corr_author: '1'
date_created: 2024-08-20T08:41:40Z
date_published: 2024-08-14T00:00:00Z
date_updated: 2025-09-08T08:58:20Z
day: '14'
ddc:
- '512'
department:
- _id: TiBr
doi: 10.1112/jlms.12975
ec_funded: 1
external_id:
arxiv:
- '2108.03396'
isi:
- '001310529600001'
file:
- access_level: open_access
checksum: 90437e19f57520b4d66ca62408f6c81e
content_type: application/pdf
creator: dernst
date_created: 2024-08-21T06:36:40Z
date_updated: 2024-08-21T06:36:40Z
file_id: '17454'
file_name: 2024_JourLondonMathSoc_Wang.pdf
file_size: 438751
relation: main_file
success: 1
file_date_updated: 2024-08-21T06:36:40Z
has_accepted_license: '1'
intvolume: ' 110'
isi: 1
issue: '3'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Special cubic zeros and the dual variety
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: '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'
date_created: 2024-10-06T22:01:11Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-04-07T12:53:53Z
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
scopus_import: '1'
status: public
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 110
year: '2024'
...
---
_id: '12214'
abstract:
- lang: eng
text: 'Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein
space W2(Rn), we describe the isometry group Isom(Wp(E)) for all parameters 0
< p < ∞ and for all separable real Hilbert spaces E. In particular, we show that
Wp(X) is isometrically rigid for all Polish space X whenever 0 < p < 1. This is
a consequence of our more general result: we prove that W1(X) is isometrically
rigid if X is a complete separable metric space that satisfies the strict triangle
inequality. Furthermore, we show that this latter rigidity result does not generalise
to parameters p > 1, by solving Kloeckner’s problem affirmatively on the existence
of mass-splitting isometries. '
acknowledgement: "Geher was supported by the Leverhulme Trust Early Career Fellowship
(ECF-2018-125), and also by the Hungarian National Research, Development and Innovation
Office - NKFIH (grant no. K115383 and K134944).\r\nTitkos was supported by the Hungarian
National Research, Development and Innovation Office - NKFIH (grant no. PD128374,
grant no. K115383 and K134944), by the J´anos Bolyai Research Scholarship of the
Hungarian Academy of Sciences, and by the UNKP-20-5-BGE-1 New National Excellence
Program of the ´Ministry of Innovation and Technology.\r\nVirosztek was supported
by the European Union’s Horizon 2020 research and innovation program under the Marie
Sklodowska-Curie Grant Agreement No. 846294, by the Momentum program of the Hungarian
Academy of Sciences under grant agreement no. LP2021-15/2021, and partially supported
by the Hungarian National Research, Development and Innovation Office - NKFIH (grants
no. K124152 and no. KH129601). "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: György Pál
full_name: Gehér, György Pál
last_name: Gehér
- first_name: Tamás
full_name: Titkos, Tamás
last_name: Titkos
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: 'Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces:
The Hilbertian case. Journal of the London Mathematical Society. 2022;106(4):3865-3894.
doi:10.1112/jlms.12676'
apa: 'Gehér, G. P., Titkos, T., & Virosztek, D. (2022). The isometry group of
Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical
Society. Wiley. https://doi.org/10.1112/jlms.12676'
chicago: 'Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group
of Wasserstein Spaces: The Hilbertian Case.” Journal of the London Mathematical
Society. Wiley, 2022. https://doi.org/10.1112/jlms.12676.'
ieee: 'G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein
spaces: The Hilbertian case,” Journal of the London Mathematical Society,
vol. 106, no. 4. Wiley, pp. 3865–3894, 2022.'
ista: 'Gehér GP, Titkos T, Virosztek D. 2022. The isometry group of Wasserstein
spaces: The Hilbertian case. Journal of the London Mathematical Society. 106(4),
3865–3894.'
mla: 'Gehér, György Pál, et al. “The Isometry Group of Wasserstein Spaces: The Hilbertian
Case.” Journal of the London Mathematical Society, vol. 106, no. 4, Wiley,
2022, pp. 3865–94, doi:10.1112/jlms.12676.'
short: G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society
106 (2022) 3865–3894.
date_created: 2023-01-16T09:46:13Z
date_published: 2022-09-18T00:00:00Z
date_updated: 2025-04-14T07:50:40Z
day: '18'
department:
- _id: LaEr
doi: 10.1112/jlms.12676
ec_funded: 1
external_id:
arxiv:
- '2102.02037'
isi:
- '000854878500001'
intvolume: ' 106'
isi: 1
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2102.02037
month: '09'
oa: 1
oa_version: Preprint
page: 3865-3894
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '846294'
name: Geometric study of Wasserstein spaces and free probability
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The isometry group of Wasserstein spaces: The Hilbertian case'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '10772'
abstract:
- lang: eng
text: We introduce tropical corals, balanced trees in a half-space, and show that
they correspond to holomorphic polygons capturing the product rule in Lagrangian
Floer theory for the elliptic curve. We then prove a correspondence theorem equating
counts of tropical corals to punctured log Gromov–Witten invariants of the Tate
curve. This implies that the homogeneous coordinate ring of the mirror to the
Tate curve is isomorphic to the degree-zero part of symplectic cohomology, confirming
a prediction of homological mirror symmetry.
acknowledgement: 'This paper is based on my PhD thesis, which would not be possible
without the support of my advisor Bernd Siebert. I also thank Dan Abramovich, Mohammed
Abouzaid, Mark Gross, Tom Coates and Dimitri Zvonkine for many useful conversations.
Finally, I thank the anonymous referees for their many insightful comments and valuable
suggestions which have resulted in major improvements to this article. This project
has received funding from the EuropeanResearch Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme (Grant Agreement Number:
682603), and from Fondation Mathématique Jacques Hadamard. '
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Nuroemuer Huelya
full_name: Arguez, Nuroemuer Huelya
id: 3c26b22e-c843-11eb-aa56-d38ffa0bdd08
last_name: Arguez
citation:
ama: Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals.
Journal of the London Mathematical Society. 2022;105(1):343-411. doi:10.1112/jlms.12515
apa: Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log
corals. Journal of the London Mathematical Society. London Mathematical
Society. https://doi.org/10.1112/jlms.12515
chicago: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical
and Log Corals.” Journal of the London Mathematical Society. London Mathematical
Society, 2022. https://doi.org/10.1112/jlms.12515.
ieee: N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,”
Journal of the London Mathematical Society, vol. 105, no. 1. London Mathematical
Society, pp. 343–411, 2022.
ista: Arguez NH. 2022. Mirror symmetry for the Tate curve via tropical and log corals.
Journal of the London Mathematical Society. 105(1), 343–411.
mla: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical
and Log Corals.” Journal of the London Mathematical Society, vol. 105,
no. 1, London Mathematical Society, 2022, pp. 343–411, doi:10.1112/jlms.12515.
short: N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411.
corr_author: '1'
date_created: 2022-02-20T23:01:33Z
date_published: 2022-02-05T00:00:00Z
date_updated: 2024-10-09T21:01:37Z
day: '05'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1112/jlms.12515
external_id:
arxiv:
- '1712.10260'
isi:
- '000751600600001'
file:
- access_level: open_access
checksum: 8bd0fd9694be894a191857ddf27678f0
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T11:22:58Z
date_updated: 2022-02-21T11:22:58Z
file_id: '10783'
file_name: 2022_JournLondonMathSociety_Arguez.pdf
file_size: 936873
relation: main_file
success: 1
file_date_updated: 2022-02-21T11:22:58Z
has_accepted_license: '1'
intvolume: ' 105'
isi: 1
issue: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 343-411
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'
scopus_import: '1'
status: public
title: Mirror symmetry for the Tate curve via tropical and log corals
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...
---
OA_place: repository
OA_type: green
_id: '22160'
abstract:
- lang: eng
text: 'Motivated by higher vanishing multiplicity generalizations of Alon''s Combinatorial
Nullstellensatz and its applications, we study the following problem: for fixed
and large with respect to , what is the minimum possible degree of a polynomial
with such that has zeroes of multiplicity at least at all points in ? For , a
classical theorem of Alon and Füredi states that the minimum possible degree of
such a polynomial equals . In this paper, we solve the problem for all , proving
that the answer is . As an application, we improve a result of Clifton and Huang
on configurations of hyperplanes in such that each point in is covered by at least
hyperplanes, but the point is uncovered. Surprisingly, the proof of our result
involves Catalan numbers and arguments from enumerative combinatorics.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lisa
full_name: Sauermann, Lisa
last_name: Sauermann
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Sauermann L, Wigderson Y. Polynomials that vanish to high order on most of
the hypercube. Journal of the London Mathematical Society. 2022;106(3):2379-2402.
doi:10.1112/jlms.12637
apa: Sauermann, L., & Wigderson, Y. (2022). Polynomials that vanish to high
order on most of the hypercube. Journal of the London Mathematical Society.
Wiley. https://doi.org/10.1112/jlms.12637
chicago: Sauermann, Lisa, and Yuval Wigderson. “Polynomials That Vanish to High
Order on Most of the Hypercube.” Journal of the London Mathematical Society.
Wiley, 2022. https://doi.org/10.1112/jlms.12637.
ieee: L. Sauermann and Y. Wigderson, “Polynomials that vanish to high order on most
of the hypercube,” Journal of the London Mathematical Society, vol. 106,
no. 3. Wiley, pp. 2379–2402, 2022.
ista: Sauermann L, Wigderson Y. 2022. Polynomials that vanish to high order on most
of the hypercube. Journal of the London Mathematical Society. 106(3), 2379–2402.
mla: Sauermann, Lisa, and Yuval Wigderson. “Polynomials That Vanish to High Order
on Most of the Hypercube.” Journal of the London Mathematical Society,
vol. 106, no. 3, Wiley, 2022, pp. 2379–402, doi:10.1112/jlms.12637.
short: L. Sauermann, Y. Wigderson, Journal of the London Mathematical Society 106
(2022) 2379–2402.
date_created: 2026-06-29T10:51:52Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2026-07-08T10:37:38Z
day: '01'
doi: 10.1112/jlms.12637
extern: '1'
external_id:
arxiv:
- '2010.00077'
intvolume: ' 106'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2010.00077
month: '10'
oa: 1
oa_version: Preprint
page: 2379-2402
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Polynomials that vanish to high order on most of the hypercube
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2022'
...
---
_id: '9586'
abstract:
- lang: eng
text: "Consider integers \U0001D458,ℓ such that 0⩽ℓ⩽(\U0001D4582) . Given a large
graph \U0001D43A , what is the fraction of \U0001D458 -vertex subsets of \U0001D43A
\ which span exactly ℓ edges? When \U0001D43A is empty or complete, and ℓ
\ is zero or (\U0001D4582) , this fraction can be exactly 1. On the other hand,
if ℓ is far from these extreme values, one might expect that this fraction is
substantially smaller than 1. This was recently proved by Alon, Hefetz, Krivelevich,
and Tyomkyn who initiated the systematic study of this question and proposed several
natural conjectures.\r\nLet ℓ∗=min{ℓ,(\U0001D4582)−ℓ} . Our main result is that
for any \U0001D458 and ℓ , the fraction of \U0001D458 -vertex subsets that
span ℓ edges is at most log\U0001D442(1)(ℓ∗/\U0001D458)√ \U0001D458/ℓ∗, which
is best-possible up to the logarithmic factor. This improves on multiple results
of Alon, Hefetz, Krivelevich, and Tyomkyn, and resolves one of their conjectures.
In addition, we also make some first steps towards some analogous questions for
hypergraphs.\r\nOur proofs involve some Ramsey-type arguments, and a number of
different probabilistic tools, such as polynomial anticoncentration inequalities,
hypercontractivity, and a coupling trick for random variables defined on a ‘slice’
of the Boolean hypercube."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Benny
full_name: Sudakov, Benny
last_name: Sudakov
- first_name: Tuan
full_name: Tran, Tuan
last_name: Tran
citation:
ama: Kwan MA, Sudakov B, Tran T. Anticoncentration for subgraph statistics. Journal
of the London Mathematical Society. 2019;99(3):757-777. doi:10.1112/jlms.12192
apa: Kwan, M. A., Sudakov, B., & Tran, T. (2019). Anticoncentration for subgraph
statistics. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12192
chicago: Kwan, Matthew Alan, Benny Sudakov, and Tuan Tran. “Anticoncentration for
Subgraph Statistics.” Journal of the London Mathematical Society. Wiley,
2019. https://doi.org/10.1112/jlms.12192.
ieee: M. A. Kwan, B. Sudakov, and T. Tran, “Anticoncentration for subgraph statistics,”
Journal of the London Mathematical Society, vol. 99, no. 3. Wiley, pp.
757–777, 2019.
ista: Kwan MA, Sudakov B, Tran T. 2019. Anticoncentration for subgraph statistics.
Journal of the London Mathematical Society. 99(3), 757–777.
mla: Kwan, Matthew Alan, et al. “Anticoncentration for Subgraph Statistics.” Journal
of the London Mathematical Society, vol. 99, no. 3, Wiley, 2019, pp. 757–77,
doi:10.1112/jlms.12192.
short: M.A. Kwan, B. Sudakov, T. Tran, Journal of the London Mathematical Society
99 (2019) 757–777.
date_created: 2021-06-22T09:46:03Z
date_published: 2019-05-03T00:00:00Z
date_updated: 2023-02-23T14:01:53Z
day: '03'
doi: 10.1112/jlms.12192
extern: '1'
external_id:
arxiv:
- '1807.05202'
intvolume: ' 99'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1807.05202
month: '05'
oa: 1
oa_version: Preprint
page: 757-777
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anticoncentration for subgraph statistics
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 99
year: '2019'
...
---
OA_place: repository
OA_type: green
_id: '261'
abstract:
- lang: eng
text: Let G = SL(2, R) ⋉R2 and Γ = SL(2, Z) ⋉Z2. Building on recent work of Strömbergsson,
we prove a rate of equidistribution for the orbits of a certain one-dimensional
unipotent flow of Γ\G, which projects to a closed horocycle in the unit tangent
bundle to the modular surface. We use this to answer a question of Elkies and
McMullen by making effective the convergence of the gap distribution of √n mod
1.
acknowledgement: The research leading to these results has received funding from the
European Research Council under the European Union’s Seventh Framework Programme
(FP/2007–2013)/ERC Grant Agreements 291147 and 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Ilya
full_name: Vinogradov, Ilya
last_name: Vinogradov
citation:
ama: Browning TD, Vinogradov I. Effective ratner theorem for SL (2, R) ⋉R2 and gaps
in √n modulo 1. Journal of the London Mathematical Society. 2016;94(1):61-84.
doi:10.1112/jlms/jdw025
apa: Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for
SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society.
Wiley. https://doi.org/10.1112/jlms/jdw025
chicago: Browning, Timothy D, and Ilya Vinogradov. “Effective Ratner Theorem for
SL (2, R) ⋉R2 and Gaps in √n modulo 1.” Journal of the London Mathematical
Society. Wiley, 2016. https://doi.org/10.1112/jlms/jdw025.
ieee: T. D. Browning and I. Vinogradov, “Effective ratner theorem for SL (2, R)
⋉R2 and gaps in √n modulo 1,” Journal of the London Mathematical Society,
vol. 94, no. 1. Wiley, pp. 61–84, 2016.
ista: Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2
and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84.
mla: Browning, Timothy D., and Ilya Vinogradov. “Effective Ratner Theorem for SL
(2, R) ⋉R2 and Gaps in √n modulo 1.” Journal of the London Mathematical Society,
vol. 94, no. 1, Wiley, 2016, pp. 61–84, doi:10.1112/jlms/jdw025.
short: T.D. Browning, I. Vinogradov, Journal of the London Mathematical Society
94 (2016) 61–84.
date_created: 2018-12-11T11:45:29Z
date_published: 2016-05-24T00:00:00Z
date_updated: 2026-05-20T06:57:42Z
day: '24'
doi: 10.1112/jlms/jdw025
extern: '1'
external_id:
arxiv:
- '1311.6387'
intvolume: ' 94'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.1311.6387'
month: '05'
oa: 1
oa_version: Preprint
page: 61 - 84
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
publist_id: '7641'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 94
year: '2016'
...