For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.
| Title: | Limiting distributions of evolution of smooth curves under geodesic flow on hyperbolic manifolds |
| Seminar: | Center for Dynamics and Geometry Seminar |
| Speaker: | Nimish Shah, TATA Institute |
| Abstract: |
| This seminar talk is DEDICATED TO PROFESSOR A. R. RAO OF COMMUNITY SCIENCE CENTER, AHMEDABAD, INDIA, ON HIS 100TH BIRTHDAY.
We consider the normalized parameter measure on a finite piece of a smooth (C^n) curve on the unit tangent bundle of a compact (or finite volume) hyperbolic $n$-manifold, and let it evolve under the geodesic flow. We show that, under a natural geometric condition on the curve, the evolved measures tend to get equidistributed in the unit tangent bundle in the limit. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 09 / 22 / 2008 |
| Time: | 03:30pm - 05:30pm |