120 citations · 231 across the 39 of their papers we have counts for
4 papers · 2 filters
Expansive multiparameter actions and mean dimension
Tom Meyerovitch, Masaki Tsukamoto
Mañé (1979) proved that if a compact metric space admits an expansive homeomorphism then it is finite dimensional. We generalize this theorem to multiparameter actions. The general…
On Independence and Capacity of Multidimensional Semiconstrained Systems
Ohad Elishco, Tom Meyerovitch, Moshe Schwartz
We find a new formula for the limit of the capacity of certain sequences of multidimensional semiconstrained systems as the dimension tends to infinity. We do so by generalizing th…
On pointwise periodicity in tilings, cellular automata and subshifts
Tom Meyerovitch, Ville Salo
We study implications of expansiveness and pointwise periodicity for certain groups and semigroups of transformations. Among other things we prove that every pointwise periodic fin…
Pseudo-Orbit Tracing and Algebraic actions of countable amenable groups
Tom Meyerovitch
Consider a countable amenable group acting by homeomorphisms on a compact metrizable space. Chung and Li asked if expansiveness and positive entropy of the action imply existence o…