PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Federico Rodriguez Hertz, Stephanie Zerby, Boris Kalinin, Dmitri Burago.

Title:The deterministic random walk
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Omri Sarig, The Weizmann Institute for Science
Abstract:
The simple random walk on Z can be simulated by picking randomly uniformly in the unit interval, iterating T(x)=2x mod 1, and moving the "walker" one step to the right every time the orbit lands at [0,1/2) and one step to the left every time the orbit lands at [1/2,1). What happens if we replace the chaotic T(x)=2x mod 1 by the zero entropy R(x)=x+\alpha mod 1 for \alpha irrational? The resulting process, called the "deterministic random walk", is again a recurrent zero drift walk -- but one that visits zero much more often. This is a joint work with Avila, Dolgopyat, and Duriev

Room Reservation Information

Room Number:MB114
Date:04 / 08 / 2013
Time:03:35pm - 04:35pm