For more information about this meeting, contact Dmitri Burago, Anatole Katok.
| Title: | Quantitative ergodic theorems and Diophantine approximation |
| Seminar: | Center for Dynamics and Geometry Seminar |
| Speaker: | Alex Gorodnik, University of Bristol, UK |
| Abstract: |
| The fundamental problem of Diophantine approximation is to quantify
the density of rational numbers in reals. We investigate this problem
on surfaces equipped with group actions, and establish analogues
of Khinchin and Jarnik theorems in this setting. The main ingredient
of the proof is ergodic theorems with explicit rates. This is a joint
work with A.Ghosh and A.Nevo. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 02 / 16 / 2011 |
| Time: | 03:35pm - 05:30pm |