主 题: Statistical Properties of Chaotic Dynamical Systems
报告人: Prof. Hu, Huyi (Michgan State U.)
时 间: 2007-05-25 下午 2:30 - 3:30
地 点: 理科一号楼 1114(数学所活动)
This talk is about some statistical properties of chaotic
dynamical systems, including the existence of physically
relevant invariant measures (called SRB measures), their
speeds of correlation decay, and the Central Limit Theorem.
I will begin with an exposition on some results for Anosov
systems, which have often been used as models of chaos.
Then I will show that systems that fail to be Anosov at
only one point may -- and sometimes do -- exhibit totally different
long term behavior. SRB measures may cease to exist, and even
when they do, correlation decay may suddenly change from exponential
to power law.