On the Host-Hochman-Shmerkin equidistribution Theorem.
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
Time: 4:00pm - 6:00pm