Growth, Isoperimetry and Random walks on Groups

Total orders on compact metric spaces and covering dimension

Autores: Mitrofanov, Ivan
Publicado en: Edición 1, 2022
Editor: arxiv.org
DOI: 10.48550/arxiv.2206.06099

Poisson Boundary for Upper-Triangular Groups

Autores: Erschler, Anna; Frisch, Josh; Rychnovsky, Mark
Publicado en: Edición 3, 2023
Editor: arxiv.org
DOI: 10.48550/arxiv.2305.13231

The Poisson boundary of wreath products

Autores: Frisch, Joshua; Silva, Eduardo
Publicado en: Edición 4, 2023
Editor: arxiv.org
DOI: 10.48550/arxiv.2310.10160

On cogrowth function of uniformly recurrent sequences

Autores: Melnikov, Igor; Mitrofanov, Ivan
Publicado en: Edición 1, 2022
Editor: arxiv.org
DOI: 10.48550/arxiv.2001.02272

Embeddings into left‐orderable simple groups

Autores: Arman Darbinyan; Markus Steenbock
Publicado en: Journal of the London Mathematical Society, Edición 5, 2022, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12552

Convergence towards the end space for random walks on Schreier graphs

Autores: Bogdan Stankov
Publicado en: Joournal of Theoretical Probability, 2022, ISSN 0894-9840
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10959-021-01104-6

Computability, orders, and solvable groups

Autores: Arman Darbinyan
Publicado en: Journal of Symbolic Logic, Edición 4, 2020, Página(s) 1588-1598, ISSN 0022-4812
Editor: Association for Symbolic Logic
DOI: 10.1017/jsl.2020.34

Crystallographic Helly groups

Autores: Nima Hoda
Publicado en: Bulletin of the London Math Society, 2023, ISSN 0024-6093
Editor: Oxford University Press
DOI: 10.1112/blms.12906

A class of digraph groups defined by balanced presentations

Autores: Johannes Cuno; Gerald Williams
Publicado en: Journal of Pure and Applied Algebra, Edición 5, 2020, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106342

Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut

Autores: Nima Hoda, Suraj Krishna SM
Publicado en: Mathematical proceedings of the Cambridge philosophical Society, 2023, ISSN 0305-0041
Editor: Cambridge University Press
DOI: 10.1017/s0305004123000208

Spaces that can be ordered effectively: virtually free groups and hyperbolicity

Autores: Anna Erschler; Ivan Mitrofanov
Publicado en: Geometriae Dedicata, Edición 3, 2023, ISSN 1572-9168
Editor: Springer Netherlands
DOI: 10.1007/s10711-023-00791-1

Assouad-Nagata dimension and gap for ordered metric spaces

Autores: Erschler, Anna; Mitrofanov, Ivan
Publicado en: Commentarii Mathematici Helvetici, Edición 4, 2023, Página(s) 217–260, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.48550/arxiv.2109.12181

Law of large numbers for the drift of two-dimensional wreath product

Autores: Erschler, Anna; Zheng, Tianyi
Publicado en: Probability Theory and Related Fields, Edición 4, 2022, Página(s) 999–1033, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-021-01098-6

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

Autores: Anna Erschler, Tianyi Zheng
Publicado en: Annales de l'Institut Fourier, 2020, Página(s) 1363-1402., ISSN 0373-0956
Editor: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3360.

Finite-dimensional representations constructed from random walks

Autores: Anna Erschler, Narutaka Ozawa
Publicado en: Commentarii Mathematici Helvetici, Edición 93/3, 2018, Página(s) 555-586, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.4171/cmh/444

Growth of periodic Grigorchuk groups

Autores: Anna Erschler, Tianyi Zheng
Publicado en: Inventiones Mathematicae, 2020, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-019-00922-0

Almost invariance of distributions for random walks on groups

Autores: Anna Erschler
Publicado en: Probability Theory and related fields, 2019, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-019-00915-3

Arboreal structures on groups and the associated boundaries

Autores: Anna Erschler, Vadim Kaimanovich
Publicado en: GAFA, Edición 33, 2023, Página(s) 694–748, ISSN 1016-443X
Editor: Birkhauser Verlag
DOI: 10.1007/s00039-023-00633-y

Random walks on Baumslag–Solitar groups

Autores: Johannes Cuno, Ecaterina Sava-Huss
Publicado en: Israel Journal of Mathematics, Edición 228/2, 2018, Página(s) 627-663, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-018-1775-0

No iterated identities satisfied by all finite groups

Autores: Anna Erschler, Alexei Kanel Belov
Publicado en: Israel Journal of Mathematics, 2019, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-019-1904-4

ELEMENTS OF UNIFORMLY BOUNDED WORD-LENGTH IN GROUPS

Autores: Yanis Amirou
Publicado en: Enseign. Math., Edición 1/2, 2021, Página(s) 45–61, ISSN 0013-8584
Editor: EMS Press
DOI: 10.4171/lem/1002

Product set growth in groups and hyperbolic geometry

Autores: Markus Steenbock, Thomas Delzant
Publicado en: Journal of Topology, 2020, ISSN 1753-8424
Editor: Wiley Publisher
DOI: 10.1112/topo.12156

Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity

Autores: Thomas Haettel, Nima Hoda, Harry Petit
Publicado en: Geometry and Topology, 2023, ISSN 1465-3060
Editor: University of Warwick
DOI: 10.2140/gt.2023.27.1587

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

Autores: Bogdan Stankov
Publicado en: Ergodic Theory and Dynamical systems, 2018, ISSN 0143-3857
Editor: Cambridge University Press

A class of generalized graph groups defined by balanced presentations

Autores: Johannes Cuno, Gerald Williams
Publicado en: J. Pure Appl. Algebra, 2018, ISSN 0022-4049
Editor: Elsevier BV

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