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 Seminar|
|Speaker:||Mike Hochman, Princeton|
|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
|Date:||01 / 30 / 2008|
|Time:||03:35pm - 04:35pm|