Equidistribution, fractal measures and arithmetic

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

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

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

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

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

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

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

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

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

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

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

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