Equidistribution, fractal measures and arithmetic

Winding of geodesic rays chosen by a harmonic measure

Author(s): Timothée Bénard
Published in: Math. Ann., 2024, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02754-z

Mixing time of the Chung–Diaconis–Graham random process

Author(s): Sean Eberhard, Péter P. Varjú
Published in: Probability Theory and Related Fields, Issue 179/1-2, 2021, Page(s) 317-344, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-020-01009-1

Dyadic Approximation in the Middle-Third Cantor Set

Author(s): Demi Allen, Sam Chow, Han Yu
Published in: Sel. Math. New Ser., 2023, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-022-00814-x

Babai's conjecture for high-rank classical groups with random generators

Author(s): Sean Eberhard, Urban Jezernik
Published in: Inventiones mathematicae, 2022, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01065-x

Equidistribution of mass for random processes on finite-volume spaces

Author(s): Timothée Bénard
Published in: Isr. J. Math., 2023, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-022-2422-3

Bernoulli decomposition and arithmetical independence between sequences

Author(s): HAN YU
Published in: Ergodic Theory and Dynamical Systems, Issue 41/5, 2021, Page(s) 1590-1600, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2019.117

Fourier decay of self-similar measures and self-similar sets of uniqueness

Author(s): Péter P. Varjú, Han Yu
Published in: Anal. PDE, Issue 15, 2022, Page(s) 843-858, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2022.15.843

Dimensions of the popcorn graph

Author(s): Haipeng Chen, Jonathan M. Fraser, Han Yu
Published in: Proceedings of the American Mathematical Society, 2022, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15729

Bernoulli convolutions with Garsia parameters in (1,√2] have continuous density functions

Author(s): Han Yu
Published in: Proceedings of the American Mathematical Society, 2022, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15971

Optimal Diophantine Exponents for SL(n)

Author(s): Subhajit Jana, Amitay Kamber
Published in: Advances in Mathematics, Issue 443, 2024, Page(s) 1-58, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.109613

The apparent structure of dense Sidon sets

Author(s): Sean Eberhard, Freddie Manners
Published in: Electron. J. Combin., 2023, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics
DOI: 10.37236/11191

A note on dyadic approximation in Cantor's set

Author(s): Demi Allen, Simon Baker, Sam Chow, Han Yu
Published in: Indagationes Mathematicae, 2023, ISSN 0019-3577
Publisher: Elsevier BV
DOI: 10.1016/j.indag.2022.11.002

Testability in group theory

Author(s): Oren Becker, Alexander Lubotzky, Jonathan Mosheiff
Published in: Israel J. Math., Issue 256, 2023, Page(s) 61-90, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-023-2503-y

Probabilistically nilpotent groups of class two

Author(s): Sean Eberhard, Pavel Shumyatsky
Published in: Math. Ann., 2024, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02567-0

Times two, three, five orbits on T2

Author(s): Han Yu
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108289

Effective density of non-degenerate random walks on homogeneous spaces

Author(s): Wooyeon Kim, Constantin Kogler
Published in: International Mathematics Research Notices, 2024, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnae011

A nonlinear version of Bourgain's projection theorem

Author(s): Pablo Shmerkin
Published in: J. Eur. Math. Soc., 2023, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1283

Fractal projections with an application in number theory

Author(s): Han Yu
Published in: Ergod. Th. & Dynam. Sys., 2023, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2022.2

Cut-off phenomenon for the ax+b Markov chain over a finite field

Author(s): Emmanuel Breuillard, Péter P. Varjú
Published in: Probab. Theory Relat. Fields, Issue 184, 2022, Page(s) 85-113, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-022-01161-w

Sharply transitive sets in PGL 2 ( K )

Author(s): Sean Eberhard
Published in: Advances in Geometry, Issue 21/4, 2021, Page(s) 611-612, ISSN 1615-715X
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/advgeom-2021-0029

Non-Salem sets in metric Diophantine approximation

Author(s): Kyle Hambrook, Han Yu
Published in: International Mathematics Research Notices, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac206

The characteristic polynomial of a random matrix

Author(s): Sean Eberhard
Published in: Combinatorica, 2022, ISSN 0209-9683
Publisher: Springer Verlag
DOI: 10.1007/s00493-020-4657-0

On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result

Author(s): Han Yu
Published in: Journal of Number Theory, Issue 224, 2021, Page(s) 243-273, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2021.01.012

Additive properties of numbers with restricted digits

Author(s): Han Yu
Published in: Algebra & Number Theory, 2021, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2021.15.1283

On the dimension of Bernoulli convolutions for all transcendental parameters

Author(s): Varjú
Published in: Annals of Mathematics, Issue 189/3, 2019, Page(s) 1001, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2019.189.3.9

Low-degree learning and the metric entropy of polynomials

Author(s): Alexandros Eskenazis, Paata Ivanisvili, Lauritz Streck
Published in: Discrete Analysis, 2023, ISSN 2397-3129
Publisher: Alliance of Diamond Open Access Journals
DOI: 10.48550/arxiv.2203.09659

Fusions of tensor powers of Johnson schemes

Author(s): Sean Eberhard, Mikhail Muzychuk
Published in: Algebraic Combinatorics, 2023, ISSN 2589-5486
Publisher: Comb. Consort. (TCC)
DOI: 10.5802/alco.271

An improvement on Furstenberg's intersection problem

Author(s): Han Yu
Published in: Transactions of the American Mathematical Society, 2021, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8410

Exponential multiple mixing for commuting automorphisms of a nilmanifold

Author(s): Timothée Bénard, Péter P. Varjú
Published in: Ergodic Theory and Dynamical Systems, 2023, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2023.73

Hamming sandwiches

Author(s): Sean Eberhard
Published in: Combinatorica, 2023, ISSN 0209-9683
Publisher: Springer Verlag
DOI: 10.1007/s00493-023-00004-z

Random walks with bounded first moment on finite-volume spaces

Author(s): Timothée Bénard, Nicolas de Saxcé
Published in: Geom. Funct. Anal., 2022, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-022-00607-6

On the metric theory of multiplicative Diophantine approximation

Author(s): Han Yu
Published in: Journal d'Analyse Mathématique, 2023, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-022-0266-8

An asymptotic for the Hall--Paige conjecture

Author(s): Sean Eberhard, Freddie Manners, Rudi Mrazović
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108423

Digit expansions of numbers in different bases

Author(s): Stuart A. Burrell, Han Yu
Published in: Journal of Number Theory, Issue 226, 2021, Page(s) 284-306, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2021.01.003

Transversals in quasirandom latin squares

Author(s): Sean Eberhard, Freddie Manners, Rudi Mrazović
Published in: Proceedings of the London Mathematical Society, 2023, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12538

Self-similar measures associated to a homogeneous system of three maps

Author(s): Ariel Rapaport, Péter P. Varjú
Published in: Duke Math. J., Issue 173(3), 2024, Page(s) 513-602, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2023-0019

An improved bound for the dimension of (α,2α)-Furstenberg sets

Author(s): Kornélia Héra, Pablo Shmerkin, Alexia Yavicoli
Published in: Rev. Mat. Iberoam., 2022, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1281

On sets containing a unit distance in every direction

Author(s): Pablo Shmerkin, Han Yu
Published in: Discrete Analysis, 2021, ISSN 2397-3129
Publisher: Alliance of Diamond Open Access Journals
DOI: 10.19086/da.22058

On the local L2-Bound of the Eisenstein Series

Author(s): Subhajit Jana, Amitay Kamber
Published in: arXiv preprint, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2210.16291

On the absolute continuity of radial and linear projections of missing digits measures

Author(s): Han Yu
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2309.01298

Rational points near self-similar sets

Author(s): Han Yu
Published in: arXiv preprint, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2101.05910

Counting rationals and diophantine approximation in missing-digit Cantor sets

Author(s): Sam Chow, Peter P. Varju, Han Yu
Published in: arXiv preprint, 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2402.18395

Missing digits points near manifolds

Author(s): Han Yu
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2309.00130

Growth in linear groups

Author(s): Sean Eberhard, Brendan Murphy, László Pyber, Endre Szabó
Published in: arXiv preprint, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2107.06674

Local limit theorems for random walks on nilpotent Lie groups

Author(s): Timothée Bénard, Emmanuel Breuillard
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2304.14551

Lifting all elements in SLn(Z/qZ)

Author(s): Amitay Kamber, Péter P. Varjú
Published in: arXiv preprint, 2023, Page(s) 1-26
Publisher: arXiv
DOI: 10.48550/arxiv.2310.10269

Biased multilinear maps of abelian groups

Author(s): Sean Eberhard
Published in: arXiv preprint, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2108.01580

Local limit theorem for random walks on symmetric spaces

Author(s): Constantin Kogler
Published in: arXiv preprint, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.11128

On absolute continuity and maximal Garsia entropy for self-similar measures with algebraic contraction ratio

Author(s): Lauritz Streck
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2303.07785

Finer geometry of planar self-affine sets

Author(s): Balázs Bárány, Antti Käenmäki, Han Yu
Published in: arXiv preprint, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2107.00983

On equidistribution of polynomial sequences in quotients of PSL2(R)

Author(s): Lauritz Streck
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2305.02730

Covering the Sierpiński carpet with tubes

Author(s): Aleksi Pyörälä, Pablo Shmerkin, Ville Suomala, Meng Wu
Published in: arXiv preprint, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2006.00499

Absolute Continuity of Self Similar Measures

Author(s): Samuel Kittle
Published in: arXiv preprint, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2103.12684

The central limit theorem on nilpotent Lie groups

Author(s): Timothée Bénard, Emmanuel Breuillard
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2302.06024

Absolutely continuous Furstenberg measures

Author(s): Samuel Kittle
Published in: arXiv preprint, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2305.05757

Combinatorics via closed orbits: number theoretic Ramanujan graphs are not unique neighbor expanders

Author(s): Amitay Kamber, Tali Kaufman
Published in: STOC 2022: Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing, Issue June 2022, 2022, Page(s) 426-435, ISBN 978-1-4503-9264-8
Publisher: Association for Computing Machinery
DOI: 10.1145/3519935.3519992

Testability of relations between permutations

Author(s): Oren Becker, Alexander Lubotzky, Jonathan Mosheiff
Published in: 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS), 2022, Page(s) 286-297, ISBN 978-1-6654-2055-6
Publisher: IEEE Computer Society
DOI: 10.1109/focs52979.2021.00037

Self-similar sets and measures on the line

Author(s): Péter P. Varjú
Published in: International Congress of Mathematicians 2022 July 6-14, Issue Volume V, 2023, Page(s) 3610–3634, ISBN 978-3-98547-063-1
Publisher: EMS Press
DOI: 10.4171/icm2022/94

On the multiplicative group generated by two primes in Z/QZ

Author(s): Péter P. Varjú
Published in: Analysis at Large, Dedicated to the Life and Work of Jean Bourgain, Issue 2022, 2022, Page(s) 373-388, ISBN 978-3-031-05330-6
Publisher: Springer Cham
DOI: 10.1007/978-3-031-05331-3_16

Publications

Share this page

Download