Dynamics Seminar

Event Information Equilibrium states, non-uniform mixing, and towers
13:10 on Monday September 15, 2014
14:00 on Monday September 15, 2014
BA6180, Bahen Center, 40 St. George St.
Vaughn Climenhaga

University of Houston

Given a dynamical system with some hyperbolicity, the equilibrium states associated to sufficiently regular potentials often display stochastic behaviour. Two important tools for studying these equilibrium states are specification properties and tower constructions. I will describe how both uniform and non-uniform specification properties can be used to deduce existence of a tower with exponential tails, and hence to establish various statistical properties.