Strongly aperiodic subshifts on surface groups
arXiv:1510.06439
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.
13 pages, 4 figures