Strongly aperiodic subshifts of finite type on hyperbolic groups-Reference-Cited by-同舟云学术

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Strongly aperiodic subshifts of finite type on hyperbolic groups

Published:2021-09-09 Issue: Volume: Page:1-44
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

COHEN DAVID B.,GOODMAN-STRAUSS CHAIM,RIECK YO’AV

Abstract

Abstract We prove that a hyperbolic group admits a strongly aperiodic subshift of finite type if and only if it has at most one end.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference53 articles.

1. [AS20] Aubrun, N. and Schraudner, M. . Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag-Solitar groups BS(1,n). Preprint, 2020, arXiv:2012.11037.

2. [Jea15b] Jeandel, E. . Aperiodic subshifts on polycyclic groups. Preprint, 2015, arXiv:1510.02360.

3. Papers on Group Theory and Topology

4. Combinatorial substitutions and sofic tilings;Fernique;Proc. of Journées Automates Cellulaires 2010,2010

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1. Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag–Solitar groups BS(1,n);Comptes Rendus. Mathématique;2024-05-31

2. Strongly aperiodic SFTs on generalized Baumslag–Solitar groups;Ergodic Theory and Dynamical Systems;2023-06-20

3. Surjunctive Groups;Springer Monographs in Mathematics;2023

4. Aperiodic subshifts of finite type on groups which are not finitely generated;P AM MATH SOC;2022-12-23

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