A Functional Analytic Approach to Hyperbolic Systems
March 20, 2019
3:00 pm PHG 646
Abstract
The past 15 years has seen an explosion of interest in the development
of anisotropic Banach spaces on which the transfer operator associated
to a hyperbolic dynamical system has good spectral properties.
Starting with the work of Blank, Keller and Liverani for Anosov
diffeomorphisms, this approach has since been broadened by a number of
authors and applied to a wide variety of systems, including most
recently, mathematical billiards. This talk will present the main
ideas behind this analysis and discuss some recent applications of the
method to proving the exponential decay of correlations for some
billiard flows and the existence and properties of measures of maximal
entropy for dispersing billiard maps.
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Last modified: April 11 2016 - 18:14:43