Dynamic Systems Seminars——The uniqueness of the measure of maximal entropy for geodesic flows on rank one manifolds
主 题: Dynamic Systems Seminars——The uniqueness of the measure of maximal entropy for geodesic flows on rank one manifolds
报告人: Weisheng Wu (China Agricultural University)
时 间: 2017-11-22 15:10-17:10
地 点: Room 408, No. 2 Teaching Building
Abstract: The uniqueness of the measure of maximal entropy (MME) for geodesic flows on rank one manifolds of nonpositive curvature was conjectured by A. Katok in 1985 and proved by G. Knieper in 1998. We present the construction of MME via Patterson-Sullivan densities and prove its uniqueness following Knieper’s proof. If time permits, we will explain how the results can be extended to rank one manifolds without focal points.
