报告人: Sylvain Crovisier(巴黎第十一大学，CNRS研究员)

时间：2021年10月14日 14:30-15:30  

腾讯会议：会议ID：342 568 698


摘要： 

      The dynamics of uniformly hyperbolic diffeomorphisms is well understood: there exists finitely many

measures which describe the asymptotic behaviour of almost every trajectory; their statistical properties
are similar to those satisfied by independent random variables.
      I will introduce a new property for diffeomorphisms (the strong positive recurrence) which
is satisfied by a large class of systems (all C-infinity surface diffeomorphism with positive topological entropy)
and which has strong statistical consequences: for these systems, the ergodic measures maximizing the entropy have exponential decay of correlations and satisfy the central limit theorem.
This is a joint work with J. Buzzi and O. Sarig.

 


报告人简介：Sylvain Crovisier, 法国科学院研究员，Member of the Academy of Europe, Publication Mathematique de l'IHES编委。



邀请人：杨大伟