Dynamical Systems Seminar

Title: Growth rate of periodic orbits for a class of non-uniformly hyperbolic geodesic flows
Speaker: Bryce Weaver
Speaker Info:
Brief Description:
Special Note:

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 $t$.
Date: Thursday, October 27, 2011
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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