Measures of maximal entropy for non-uniformly hyperbolic maps
报告人:Mauricio Poletti (Universidade Federal do Ceará, Brazil)
时间:2026-10-13 23:00-24:00 (Beijing Time)
地点:Zoom
Abstract: For $C^(l+)$ maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an adapted hyperbolic measure carries at most one adapted hyperbolic measure of maximal entropy. In this talk I will give two applications: Uniqueness of MME for finite horizon dispersing billiards and the robustly non-uniformly hyperbolic volume-preserving endomorphisms introduced by Andersson-Carrasco-Saghin. This is a joint work with Y. Lima and D. Obata.
Zoom Meeting ID: 832 0847 3832
Passcode: Ergodic