4 papers · 1 filter
Topological entropy, mean dimension, and weakly equivalent flows
Lei Jin, Yixiao Qiao
In this paper, we mainly revisit a nice theory for topological entropy of weakly equivalent flows, which was originally investigated by Ohno in 1980. We will develop a new approach…
Infinite topological entropy, positive mean dimension, and factors of subshifts
Lei Jin, Yixiao Qiao
We study dynamical systems with the property that all the nontrivial factors have infinite topological entropy (or, positive mean dimension). We establish an ``if and only if'' con…
Sofic approximation sequences and sofic mean dimension
Lei Jin, Yixiao Qiao
The main purpose of this paper is to strengthen our understanding of sofic mean dimension of two typical classes of sofic group actions. First, we study finite group actions. We pr…
Sofic mean dimension of typical actions and a comparison theorem
Lei Jin, Yixiao Qiao
We refine two results in the paper entitled "Sofic mean dimension" by Hanfeng Li, improving two inequalities with two equalities, respectively, for sofic mean dimension of typical…