30 citations · 79 across the 34 of their papers we have counts for
4 papers · 2 filters
The comparison property of amenable groups
Tomasz Downarowicz, Guohua Zhang
Let a countable amenable group act on a \zd\ compact metric space . For two clopen subsets and of we say that is \emph{subequivalent}…
Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits
David Burguet, Tomasz Downarowicz
For a topological dynamical system we define a uniform generator as a finite measurable partition such that the symmetric cylinder sets in the generated process shrink in…
Dynamical quasitilings of amenable group
Tomasz Downarowicz, Dawid Huczek
We prove that for any compact zero-dimensional metric space on which an infinite countable amenable group acts freely by homeomorphisms, there exists a dynamical quasitilin…
Decisive Bratteli-Vershik models
T. Downarowicz, O. Karpel
In this paper we focus on Bratteli-Vershik models of general compact zero-dimensional systems with the action of a homeomorphism. An ordered Bratteli diagram is called decisive if…