115 citations · 746 across the 51 of their papers we have counts for
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math.DS2023★ 2 cited
The mean orbital pseudo-metric and the space of invariant measures
Jian Li, Yuanfen Xiao
We study the mean orbital pseudo-metric for Polish dynamical systems and its connections with properties of the space of invariant measures. We give equivalent conditions for when…
math.DS2023★ 1 cited
Characterizations of distality via weak equicontinuity
Jian Li, Yini Yang
For an infinite discrete group acting on a compact metric space , we introduce several weak versions of equicontinuity along subsets of and show that if a minimal system…
math.DS2023★ 14 cited
On the properties of the mean orbital pseudo-metric
Fangzhou Cai, Dominik Kwietniak, Jian Li +1
Given a topological dynamical system , we study properties of the mean orbital pseudo-metric defined by \[ \bar E(x,y)= \limsup_{n\to\infty } \min_{σ\in S_n}\frac{1…