Specification and the measure of maximal entropy

Speaker: 
Vaughn Climenhaga
Date: 
Tue, Jun 23, 2020
Location: 
Zoom
Conference: 
University of Utah Seminar in Ergodic Theory
CRG: 
Abstract: 

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.

Subject: 
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