Decay of Correlations in Random Dynamics

Dynamics Student Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Alp Uzman.

Speaker: Alp Uzman, Penn State

Abstract: A basic deterministic dynamical system is the integral group action on a torus generated by a special linear matrix. One can randomize this by fixing two SL matrices and applying one or the other at each step based on a coin flip. I'll describe an abstract way of turning this new random dynamical system into a deterministic one, albeit on a much more complicated space. Then I'll define what we mean by the phrase "decay of correlations" for it. I hope to be able to provide some insight as to why the whole setup is interesting and important. [Register in advance for this meeting: https://psu.zoom.us/meeting/register/tJEkcO-vqDIpHNyxWyCURVQKxIyp7bwg74s7 After registering, you will receive a confirmation email containing information about joining the meeting.]


Room Reservation Information

Room Number: Zoom

Date: 08/27/2020

Time: 5:30pm - 8:00pm