# A simultaneous version of Host's 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 q>1 be an integer, and let P is a times q invariant ergodic measure with positive entropy. We shall discuss the proof of the following result: Let m>1 be an integer independent of q. Then for P typical x the orbit of (x,x) under the diagonal toral endomorphism (times q, times m) equidistributes for the product measure of P with the Lebesgue measure. Specially, we shall discuss in detail a Theorem that provides sufficient conditions for a measure that is (times q, times m) invariant to be equal to the product of its marginals.

## Room Reservation Information

**Room Number:** 114 McAllister

**Date:** 10/29/2019

**Time:** 4:00pm - 6:00pm