Strongly aperiodic subshifts on surface groups

2015/10/21 by David Bruce Cohen, Chaim Goodman-Strauss, Cohen, David Bruce +1
Mathematics · #37B50 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #math.DS #math.GR #msc:37B50

paper · pdf · doi:10.48550/arxiv.1510.06439

13 pages, 4 figures

arxiv created 2015/10/21 · arxiv updated 2015/10/23

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.

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