115 citations · 746 across the 51 of their papers we have counts for
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math.DS2018★ 8 cited
Quasi-graphs, zero entropy and measures with discrete spectrum
Jian Li, Piotr Oprocha, Guohua Zhang
In this paper, we study dynamics of maps on quasi-graphs characterizing their invariant measures. In particular, we prove that every invariant measure of quasi-graph map with zero…
math.DS2018★ 48 cited
Bounded complexity, mean equicontinuity and discrete spectrum
Wen Huang, Jian Li, Jean-Paul Thouvenot +2
We study dynamical systems which have bounded complexity with respect to three kinds metrics: the Bowen metric , the max-mean metric and the mean metric $\bar{d}_n…
math.DS2018★ 1 cited
A dynamical version of Kuratowski-Mycielski Theorem and invariant chaotic sets
Jian Li, Jie Lü, Yuanfen Xiao
We establish a dynamical version of Kuratowski-Mycielski Theorem on the existence of "large" invariant dependent sets. We apply this result to the study of invariant chaotic sets i…