We give strongly aperiodic subshifts of nite 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.
1
University of Chicago, USA
2
University of Arkansas, Fayetteville, USA
David Bruce Cohen; Chaim Goodman-Strauss. Strongly aperiodic subshifts on surface groups. Groups, geometry, and dynamics, Tome 11 (2017) no. 3, pp. 1041-1059. doi: 10.4171/ggd/421
@article{10_4171_ggd_421,
author = {David Bruce Cohen and Chaim Goodman-Strauss},
title = {Strongly aperiodic subshifts on surface groups},
journal = {Groups, geometry, and dynamics},
pages = {1041--1059},
year = {2017},
volume = {11},
number = {3},
doi = {10.4171/ggd/421},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/421/}
}
TY - JOUR
AU - David Bruce Cohen
AU - Chaim Goodman-Strauss
TI - Strongly aperiodic subshifts on surface groups
JO - Groups, geometry, and dynamics
PY - 2017
SP - 1041
EP - 1059
VL - 11
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/421/
DO - 10.4171/ggd/421
ID - 10_4171_ggd_421
ER -
%0 Journal Article
%A David Bruce Cohen
%A Chaim Goodman-Strauss
%T Strongly aperiodic subshifts on surface groups
%J Groups, geometry, and dynamics
%D 2017
%P 1041-1059
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/421/
%R 10.4171/ggd/421
%F 10_4171_ggd_421
