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).

What is a Foster-Lyapunov-Margulis Function?

Speaker: Jayadev Athreya, University of Washington

Date: Mon, Nov 2, 2020

Location: University of Utah, Zoom

Conference: Online working seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific

Abstract:

We'll show how a simple idea from probability theory on the recurrence of random walks can be used in many important dynamical and geometric situations, building on work of Eskin-Margulis and others. No prior knowledge of probability theory, random walks, or geometry is required. If time permits, as an unrelated "dessert" of sorts, we'll give a brief proof of the Hopf ratio ergodic theorem using the Birkhoff ergodic theorem for flows.