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Growth, Isoperimetry and Random walks on Groups

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Non-triviality of the Poisson boundary of random walks on the group H(ℤ) of Monod

Author(s): Bogdan Stankov
Published in: Ergodic Theory and Dynamical systems, 2018, ISSN 0143-3857
Publisher: Cambridge University Press

Growth of periodic Grigorchuk groups

Author(s): Anna Erschler, Tianyi Zheng
Published in: Inventiones Mathematicae, 2018, ISSN 0020-9910
Publisher: Springer Verlag

A class of generalized graph groups defined by balanced presentations

Author(s): Johannes Cuno, Gerald Williams
Published in: J. Pure Appl. Algebra, 2018, ISSN 0022-4049
Publisher: Elsevier BV

Random walks on Baumslag–Solitar groups

Author(s): Johannes Cuno, Ecaterina Sava-Huss
Published in: Israel Journal of Mathematics, 228/2, 2018, Page(s) 627-663, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-018-1775-0

Product set growth in groups and hyperbolic geometry

Author(s): Markus Steenbock, Thomas Delzant
Published in: Journal of Topology, 2020, ISSN 1753-8424
Publisher: Wiley Publisher

Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property HFD

Author(s): Anna Erschler, Tianyi Zheng
Published in: to appear in Annales de l'Institut Fourier, 2017
Publisher: arxiv

Almost invariance of distributions for random walks on groups

Author(s): Anna Erschler
Published in: to appear in Probability Theory and related fields, 2019
Publisher: Springer

Arboreal structures on groups and the associated boundaries

Author(s): Anna Erschler, Vadim Kaimanovich
Published in: 2019
Publisher: arxiv

No iterated identities satisfied by all finite groups

Author(s): Anna Erschler, Alexei Kanel Belov
Published in: to appear in Israel Journal of Mathematics, 2019
Publisher: Springer


Author(s): Yanis Amirou
Published in: 2018
Publisher: arxiv

Finite-dimensional representations constructed from random walks

Author(s): Anna Erschler, Narutaka Ozawa
Published in: Commentarii Mathematici Helvetici, 93/3, 2018, Page(s) 555-586, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/444