PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok.

Title:Renormalization of rectangle exchange maps arising from corner percolation
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Patrick Hooper, CUNY
Abstract:
I will describe a construction of a 2-parameter family of rectangle exchange maps. I will give an elementary description of a renormalization operation which acts on this family. These rectangle exchange maps arise in connection to the corner percolation model introduced by Balint Toth and studied in detail by Gabor Pete. Because of this construction, there are topological reasons to expect most points to be periodic. The renormalization operation can be used to prove that for almost every member of the family, the rectangle exchange is periodic almost everywhere. In contrast, there are rectangle exchange maps in this family which admit a positive measure set of non-periodic points.

Room Reservation Information

Room Number:MB106
Date:11 / 02 / 2011
Time:03:35pm - 05:30pm