30 citations · 41 across the 5 of their papers we have counts for
6 papers
Tail variational principle and asymptotic -expansiveness for amenable group actions
Tomasz Downarowicz, Guohua Zhang
In this paper we prove the tail variational principle for actions of countable amenable groups. This allows us to extend some characterizations of asymptotic -expansiveness from…
The Symbolic Extension Theory in Topological Dynamics
Tomasz Downarowicz, Guohua Zhang
In this survey we will present the symbolic extension theory in topological dynamics, which was built over the past twenty years.
Discrete spectrum for amenable group actions
Tao Yu, Guohua Zhang, Ruifeng Zhang
In this paper, we study discrete spectrum of invariant measures for countable discrete amenable group actions. We show that an invariant measure has discrete spectrum if and only i…
Symbolic extensions of amenable group actions and the comparison property
Tomasz Downarowicz, Guohua Zhang
Symbolic Extension Entropy Theorem (SEET) describes the possibility of a lossless digitalization of a dynamical system by extending it to a subshift. It gives an estimate on the en…
Chaotic behavior of group actions
Zhaolong Wang, Guohua Zhang
In this paper we study chaotic behavior of actions of a countable discrete group acting on a compact metric space by self-homeomorphisms. For actions of a countable discrete group…
Tilings of amenable groups
Tomasz Downarowicz, Dawid Huczek, Guohua Zhang
We prove that for any infinite countable amenable group , any and any finite subset , there exists a tiling (partition of into finite "tiles" using only f…