Groups, Geometry, and Dynamics
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Published online: 2017-08-22
Strongly aperiodic subshifts on surface groupsDavid B. Cohen and Chaim Goodman-Strauss (1) University of Chicago, USA
(2) University of Arkansas, Fayetteville, USA
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.
Keywords: Subshifts of finite type, surface groups, strong aperiodicity, symbolic dynamics, tilings
Cohen David, Goodman-Strauss Chaim: Strongly aperiodic subshifts on surface groups. Groups Geom. Dyn. 11 (2017), 1041-1059. doi: 10.4171/GGD/421