PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Stephanie Zerby.

Title:Transfer Operator method, I
Seminar:Working Seminar: Dynamics and its Working Tools
Speaker:Omri Sarig, Weizmann Institute of Science, Rehovot, Israel
Abstract:
Suppose T is a non invertible expanding map preserving a measure m. The action of T on the points of the space induces an action on the space of "mass densities" f dm. This action is called the transfer operator, and it can be viewed as an operator on L^1 (the space of integrable signed densities f). As it turns out, the more chaotic the behavior of T, the better is the behavior of the transfer operator. This observation is the starting point for a collection of methods for analyzing the ergodic and stochastic properties of m by a studying the operator theoretic properties of the transfer operator. We will develop the basic theory and explore some of the applications, such as decay of correlations and (time permitting) the central limit theorem.

Room Reservation Information

Room Number:MB216
Date:04 / 09 / 2013
Time:03:30pm - 06:00pm