学术报告(12.23):BEN OVIDIA Snir:Generalized u-Gibbs measures for C^\infty diffeomorphisms
报告时间:2025年12月23日(周二)上午 10:00-11:30
报告地点:91国产 纯水楼301
报告人:BEN OVIDIA Snir,以色列希伯来大学
报告摘要:
We show that for every C^\infty diffeomorphism of a closed Riemannian manifold, if there exists a positive volume set of points with a positive Lyapunov exponent (in a weak sense) then there exists an invariant probability measure with a disintegration by absolutely continuous conditionals on disks subordinated to unstable leaves. As an application, we solve the strong Viana conjecture in any dimension. This is joint work with D. Burguet.
邀请人:臧运涛