For more information about this meeting, contact Anatole Katok.

Title: | Growth rate of periodic orbits for a class of non-uniformly hyperbolic geodesic flows |

Seminar: | Center for Dynamics and Geometry Seminars |

Speaker: | Bryce Weaver, visiting Penn State |

Abstract: |

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 |

Date: | 09 / 12 / 2011 |

Time: | 03:35pm - 05:30pm |