PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Stephanie Zerby, Anatole Katok, Federico Rodriguez Hertz.

Title:On Rauzy Induction: A Quantitative Answer to Bufetov's Question
Seminar:Dynamical systems seminar
Speaker:Jon Fickenscher, Princeton
Abstract:
We may associate to a general Interval Exchange Transformation an infinite sequence of visitation matrices through Rauzy Induction. These matrices are associated to the Kontsevich-Zorich cocycle. A. Bufetov posed the following question: given this infinite sequence of matrices, can the original IET be recovered up to topological conjugacy? In 2010, W. A. Veech proved the affirmative answer to this question. We will discuss a quantitative version of this answer by finding the IET using only a finite number of these matrices. We then answer the same question for the Zorich Acceleration of Rauzy Induction.

Room Reservation Information

Room Number:MB114
Date:02 / 02 / 2015
Time:03:35pm - 04:35pm