115 citations · 746 across the 51 of their papers we have counts for
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math.DS2016★ 27 cited
Properties of invariant measures in dynamical systems with the shadowing property
Jian Li, Piotr Oprocha
For dynamical systems with the shadowing property, we provide a method of approximation of invariant measures by ergodic measures supported on odometers and their almost 1-1 extens…
math.DS2016★ 16 cited
Devaney chaos plus shadowing implies distributional chaos
Jian Li, Jie Li, Siming Tu
We explore connections among the regional proximal relation, the asymptotic relation and the distal relation for a topological dynamical system with the shadowing property, and sho…
math.DS2016★ 19 cited
Measure-theoretic sensitivity via finite partitions
Jian Li
For every positive integer , we introduce the concept of measure-theoretic -sensitivity for measure-theoretic dynamical systems via finite measurable partitions, and sh…