Viana's conjecture for smooth surface diffeomorphisms
报告专家：Jérôme Buzzi（Université Paris-Saclay）
报告时间：2024年3月30日下午10:00-11:00
报告地点：国家天元数学西南中心516报告厅
报告摘要：
Viana conjectured that the absence of zero Lyapunov exponents on a set of full Lebesgue measure implies the existence of a physical measure, ie, whose ergodic basin has positive volume (ICM 1998).
By estimating Lyapunov exponents and entropy of measures obtained by pushing pieces of a good curve, we establish the above for C^infinity smooth diffeomorphisms of compact surfaces. This is a joint work with Sylvain CROVISIER and Omri SARIG.
邀请人：史逸
