Growth, Isoperimetry and Random walks on Groups

Project Information

GroIsRan

Grant agreement ID: 725773

DOI

10.3030/725773

Project closed

EC signature date 28 February 2017

Start date 1 September 2017

End date 31 August 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 789 438,00

EU contribution

€ 1 789 438,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (20)

Strongly Shortcut groups

Author(s): Nima Hoda
Published in: Transactions of American Math Society, 2022, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.48550/arXiv.2010.07400

Embeddings into left‐orderable simple groups

Author(s): Arman Darbinyan; Markus Steenbock
Published in: Journal of the London Mathematical Society, Issue 5, 2022, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12552

Convergence towards the end space for random walks on Schreier graphs

Author(s): Bogdan Stankov
Published in: Joournal of Theoretical Probability, 2022, ISSN 0894-9840
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10959-021-01104-6

Computability, orders, and solvable groups

Author(s): Arman Darbinyan
Published in: Journal of Symbolic Logic, Issue 4, 2020, Page(s) 1588-1598, ISSN 0022-4812
Publisher: Association for Symbolic Logic
DOI: 10.1017/jsl.2020.34

Crystallographic Helly groups

Author(s): Nima Hoda
Published in: Bulletin of the London Math Society, 2023, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12906

A class of digraph groups defined by balanced presentations

Author(s): Johannes Cuno; Gerald Williams
Published in: Journal of Pure and Applied Algebra, Issue 5, 2020, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106342

Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut

Author(s): Nima Hoda, Suraj Krishna SM
Published in: Mathematical proceedings of the Cambridge philosophical Society, 2023, ISSN 0305-0041
Publisher: Cambridge University Press
DOI: 10.1017/s0305004123000208

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

Author(s): Anna Erschler; Ivan Mitrofanov
Published in: Geometriae Dedicata, Issue 3, 2023, ISSN 1572-9168
Publisher: Springer Netherlands
DOI: 10.1007/s10711-023-00791-1

Assouad-Nagata dimension and gap for ordered metric spaces

Author(s): Erschler, Anna; Mitrofanov, Ivan
Published in: Commentarii Mathematici Helvetici, Issue 4, 2023, Page(s) 217–260, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.48550/arxiv.2109.12181

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

Author(s): Erschler, Anna; Zheng, Tianyi
Published in: Probability Theory and Related Fields, Issue 4, 2022, Page(s) 999–1033, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01098-6

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

Author(s): Anna Erschler, Tianyi Zheng
Published in: Annales de l'Institut Fourier, 2020, Page(s) 1363-1402., ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3360.

Finite-dimensional representations constructed from random walks

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

Growth of periodic Grigorchuk groups

Author(s): Anna Erschler, Tianyi Zheng
Published in: Inventiones Mathematicae, 2020, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-019-00922-0

Almost invariance of distributions for random walks on groups

Author(s): Anna Erschler
Published in: Probability Theory and related fields, 2019, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00915-3

Arboreal structures on groups and the associated boundaries

Author(s): Anna Erschler, Vadim Kaimanovich
Published in: GAFA, Issue 33, 2023, Page(s) 694–748, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-023-00633-y

Random walks on Baumslag–Solitar groups

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

No iterated identities satisfied by all finite groups

Author(s): Anna Erschler, Alexei Kanel Belov
Published in: Israel Journal of Mathematics, 2019, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-019-1904-4

ELEMENTS OF UNIFORMLY BOUNDED WORD-LENGTH IN GROUPS

Author(s): Yanis Amirou
Published in: Enseign. Math., Issue 1/2, 2021, Page(s) 45–61, ISSN 0013-8584
Publisher: EMS Press
DOI: 10.4171/lem/1002

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
DOI: 10.1112/topo.12156

Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity

Author(s): Thomas Haettel, Nima Hoda, Harry Petit
Published in: Geometry and Topology, 2023, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2023.27.1587

Other (11)

Total orders on compact metric spaces and covering dimension

Author(s): Mitrofanov, Ivan
Published in: Issue 1, 2022
Publisher: arxiv.org
DOI: 10.48550/arxiv.2206.06099

Poisson Boundary for Upper-Triangular Groups

Author(s): Erschler, Anna; Frisch, Josh; Rychnovsky, Mark
Published in: Issue 3, 2023
Publisher: arxiv.org
DOI: 10.48550/arxiv.2305.13231

Finiteness properties for relatives of braided Hingman Thompson groups

Author(s): Rachel Skipper, Xiaolei Wu
Published in: to appear in Groups, Geometry and Dynamics, 2023
Publisher: ariv.org
DOI: 10.48550/arXiv.2103.14589

Braiding groups of automorphisms and almost automorphisms of the tree

Author(s): Rachel Skipper, Mathew Zaremsky
Published in: to appear in Canadian Journal of Mathematics, 2023
Publisher: arxiv.org
DOI: 10.48550/arXiv.2109.13389

Strongly shortcut spaces

Author(s): Nima Hoda
Published in: to appear in Algebr. Geom. Topol., 2023, Page(s) 35 pages, ISSN 1472-2739
Publisher: MSP
DOI: 10.48550/arXiv.2010.07400

Finding and Combining Indicable Subgroups of Big Mapping Class Groups

Author(s): Rachel Skipper
Published in: arxiv, 2023
Publisher: arxiv.org
DOI: 10.48550/arXiv.2109.05976

Asymptotic cones of snowflake groups and the strong shortcut property

Author(s): Christopher H. Cashen, Nima Hoda, Daniel J. Woodhouse
Published in: 2022
Publisher: arxiv.org
DOI: 10.48550/arXiv.2202.11626

Poisson boundary of group extensions

Author(s): Anna Erschler, Josh Frisch
Published in: 2022
Publisher: arxiv.org
DOI: 10.48550/arXiv.2206.11111

Exact descriptions of Følner functions and sets on wreath products and Baumslag-Solitar groups

Author(s): Bogdan Stankov
Published in: arxive, 2022
Publisher: arxive.org
DOI: 10.48550/arXiv.2111.09158

The Poisson boundary of wreath products

Author(s): Frisch, Joshua; Silva, Eduardo
Published in: Issue 4, 2023
Publisher: arxiv.org
DOI: 10.48550/arxiv.2310.10160

On cogrowth function of uniformly recurrent sequences

Author(s): Melnikov, Igor; Mitrofanov, Ivan
Published in: Issue 1, 2022
Publisher: arxiv.org
DOI: 10.48550/arxiv.2001.02272

Non-peer reviewed articles (2)

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

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