Title: An almost sure invariance principle for nonuniformly hyperbolic systems
Speaker: Matthew Nicol
Speaker Info: University of Houston
This is joint work with Ian Melbourne. We prove an almost sure invariance principle that is valid for general classes of nonuniformly expanding and nonuniformly hyperbolic dynamical systems. Discrete time systems and flows are covered by this result. In particular, the result applies to the planar periodic Lorentz flow with finite horizon.Date: Tuesday, May 17, 2005
Statistical limit laws such as the central limit theorem, the law of the iterated logarithm, and their functional versions, are immediate consequences.