Huyi Hu spoke in the Queens College Mathematics Colloquium on November 19, 2009.
Title: Rates of convergence of the transfer operators for expanding systems
Abstract: The rates of convergence of the transfer operators to the equilibriums give the rates of decay of correlations and the rates of mixing of the systems. It is well known that for uniformly hyperbolic systems or uniformly expanding systems the rates are exponential. We will discuss the rates of convergence for some nonuniformly expanding systems, that may change from exponential to polynomial even if expansion fails near one point.