Dynamic Systems Seminars——Entropy rigidity and flexibility for suspension flows over Anosov diffeomorphisms
主 题: Dynamic Systems Seminars——Entropy rigidity and flexibility for suspension flows over Anosov diffeomorphisms
报告人: Dr. Yang Yun (NYCU, USA)
时 间: 2018-01-05 15:00-17:00
地 点: Room 1418, Sciences Building No. 1
Abstract: The algebraic models of Anosov flows are the suspension flows over the algebraic Anosov diffeomorphisms and the geodesic flows on negatively constant curvature spaces. The algebraic models up to smooth conjugacy are believed to distinguish themselves in many ways.In this talk, I will show that for any $C^\infty$, area-preserving Anosov diffeomorphism $f$ of two torus, a suspension flow over $f$ is $C^\infty$-conjugate to a constant-time suspension flow of a hyperbolic automorphism of the two torus if and only if the volume measure is the measure with maximal entropy. I will also show that the metric entropy with respect to the volume measure and the topological entropy of suspension flow over Anosov diffeomorphisms on torus achieve all possible values. This is a joint work with Cameron Bishop, David Hughes and Kurt Vinhage.
