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math.DS2024
On the phenomenon of topological chaos and statistical triviality
Chao Liang, Xiankun Ren, Wenxiang Sun +1
There exists a compact manifold so that the set of topologically chaotic but statistically trivial vector fields on this manifold displays considerabl…
math.DS2014
Continuity of entropy map for nonuniformly hyperbolic systems
Gang Liao, Wenxiang Sun, Shirou Wang
We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in gene…