For more information about this meeting, contact Anatole Katok.
| Title: | Growth rate of periodic orbits for a class of non-uniformly hyperbolic geodesic flows |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Bryce Weaver, visiting Penn State |
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| Abstract: |
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| Using some verifiable properties and local analysis, we are able to construct a Margulis measure on a class of $3$-dimensional non-uniformly hyperbolic geodesic flows, constructed by V. Donnay. The class of metrics can be applied to any surface, in particular $S^2$. This measure is used to obtain precise asymptotics of the growth rate of periodic orbits of the form,
\[ \lim_{t \rightarrow \infty} \frac{ht P(t)}{e^{h t}} = 1,\]
for $\ds h$ equal to the topological entropy and $P(t)$ is the number of periodic orbits of period at most $t$. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 09 / 12 / 2011 |
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| Time: | 03:35pm - 05:30pm |
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