PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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