Error message

  • Deprecated function: Optional parameter $js declared before required parameter $element is implicitly treated as a required parameter in include_once() (line 1445 of /var/www/html/mathtube.org/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $input declared before required parameter $form_state is implicitly treated as a required parameter in include_once() (line 1445 of /var/www/html/mathtube.org/includes/bootstrap.inc).

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

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.

Additional Files:
PDF icon notes.pdf