PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yakov Pesin.

Title:A characterization of entropies for mult-dimensional symbolic systems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Mike Hochman, Princeton
Abstract:
I will discuss recent results on the topological entropy of multidimensional shifts of finite type (aka. hard core models, topological markov chains, tiling systems...). In the one-dimensional case one can compute the entropy effectively and characterize algebraically the numbers that can arise this way. No such results have been known for the multidimensional case. I will describe a recent characterization (joint with Tom Meyerovitch) of the numbers which can occur as entropies in higher dimensions. The characterization is, surprisingly, recursive-theoretic. If time permits I will also discuss a more complicated recursive characterization of the subdynamics which can occur in these systems and other applications. The talk will not require any prior knowledge of recursion theory.

Room Reservation Information

Room Number:MB106
Date:01 / 30 / 2008
Time:03:35pm - 04:35pm