English

Strongly aperiodic subshifts on surface groups

Group Theory 2015-10-23 v1 Dynamical Systems

Abstract

We give strongly aperiodic subshifts of finite type on every hyperbolic surface group; more generally, for each pair of expansive primitive symbolic substitution systems with incommensurate growth rates, we construct strongly aperiodic subshifts of finite type on their orbit graphs.

Keywords

Cite

@article{arxiv.1510.06439,
  title  = {Strongly aperiodic subshifts on surface groups},
  author = {David Bruce Cohen and Chaim Goodman-Strauss},
  journal= {arXiv preprint arXiv:1510.06439},
  year   = {2015}
}

Comments

13 pages, 4 figures

R2 v1 2026-06-22T11:26:05.544Z