For more information about this meeting, contact Yakov Pesin.
| Title: | A characterization of entropies for mult-dimensional symbolic systems |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Mike Hochman, Princeton |
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| Abstract: |
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| 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 |
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| Date: | 01 / 30 / 2008 |
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| Time: | 03:35pm - 04:35pm |
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