On the Host-Hochman-Shmerkin equidistribution Theorem.

Dynamical Systems Working Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Svetlana Katok, Yakov Pesin, Federico Rodriguez Hertz.

Speaker: Amir Algom, Penn State

Abstract: Let p,m>1 be integers. In 1995, Host proved that if P is an ergodic times p invariant measure with positive entropy, then P almost every x is normal to base m, assuming p and m are co-prime. In 2015, Hochman and Shmerkin were able to prove the result holds in the "correct generality", i.e. assuming only that p and m are independent. In this talk we will give an outline of the argument proving the latter result.

Room Reservation Information

Room Number: 114 McAllister

Date: 10/22/2019

Time: 4:00pm - 6:00pm