Self-similarity and limit spaces of substitution tiling semigroups
(2024)
Journal Article
Walton, J. J., & Whittaker, M. F. (in press). Self-similarity and limit spaces of substitution tiling semigroups. Groups, Geometry, and Dynamics,
We show that Kellendonk's tiling semigroup of an FLC substitution tiling is self-similar, in the sense of Bartholdi, Grigorchuk and Nekrashevych. We extend the notion of the limit space of a self-similar group to the setting of self-similar semigroup... Read More about Self-similarity and limit spaces of substitution tiling semigroups.