For more information about this meeting, contact Dmitri Burago, Anatole Katok.
| Title: | Symbolic dynamics: entropy = dimension = complexity |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Stephen G. Simpson, Penn State |
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| Abstract: |
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| This talk will be self-contained for both logicians and
dynamicists. Let X be a d-dimensional symbolic dynamical system over a
finite set of symbols. We shall prove that the topological entropy of
X is equal to the Hausdorff dimension of X with respect to the
standard metric on X. In addition, we shall present a characterization
of the topological entropy of X in terms of the Kolmogorov complexity
of the finite configurations of symbols which occur in X. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 08 / 30 / 2010 |
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| Time: | 03:30pm - 05:30pm |
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