EVENT DETAILS AND ABSTRACT

Title: Equilibrium states in dynamics via geometric measure theory
Speaker: Agnieszka Zelerowicz
Speaker Info: Penn State
Brief Description:
Special Note:
Abstract:

Given a uniformly hyperbolic attractor, the physically relevant Sinai-Ruelle-Bowen (SRB) measure can be obtained as the result of the evolution under dynamics of the leaf volume along local unstable manifolds. In this joint work with Vaughn Climenhaga and Yakov Pesin we extend this geometric construction to the substantially broader class of equilibrium states corresponding to Holder continuous potentials. The key step in our construction is to replace leaf volume with a reference measure that is obtained from a Caratheodory dimension structure.