Specification and the measure of maximal entropy

Speaker: Vaughn Climenhaga

Date: Tue, Jun 23, 2020

Location: Zoom

Conference: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific


There are various proofs that a transitive uniformly hyperbolic dynamical system has a unique measure of maximal entropy. I will outline a proof due to Bowen that uses the specification and expansivity properties, focusing on the example of shift spaces. If time permits, I will describe how Bowen's proof works for equilibrium states associated to nonzero potential functions.

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