5 papers · 1 filter
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards
Jacopo De Simoi, Martin Leguil, Kurt Vinhage +1
Given an integer , and a Anosov flow on some compact connected -manifold preserving a smooth volume, we show that the measure of maximal entropy (MME) is the…
Non-stationary Almost Sure Invariance Principle for Hyperbolic Systems with Singularities
Jianyu Chen, Hongkun Zhang, Yun Yang
We investigate a wide class of two-dimensional hyperbolic systems with singularities, and prove the almost sure invariance principle (ASIP) for the random process generated by sequ…
A topological classification of locally constant potentials via zero-temperature measures
Christian Wolf, Yun Yang
We provide a topological classification of locally constant functions over subshifts of finite type via their zero-temperature measures. Our approach is to analyze the relationship…
Entropy rigidity and flexibility for suspension flows over Anosov diffeomorphisms
Cameron Bishop, David Hughes, Kurt Vinhage +1
For any , area-preserving Anosov diffeomorphism of a surface, we show that a suspension flow over is -conjugate to a constant-time suspension flow of a…
Hyperbolic periodic points for chain hyperbolic homoclinic classes
Wenxiang Sun, Yun Yang
In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbol…