For more information about this meeting, contact Anatole Katok.
| Title: | Quantitative ergodicity for some nilflows on higher step nilmanifolds |
|---|
| Seminar: | Working Seminar: Dynamics and its Working Tools |
|---|
| Speaker: | Giovanni Forni, University of Maryland |
|---|
| Abstract: |
|---|
| This is the fourth lecture form the DISTINGUISHED VISITING PROFESSOR LECTURE SERIES
``INVARIANT DISTRIBUTIONS AND RENORMALIZATION IN PARABOLIC DYNAMICS.''
========================================================
We describe joint work with L. Flaminio which addresses the problem
of quantitative ergodicity in one case where no 'natural' renormalization
dynamics seem to exist. We argue that 'renormaization' , that is a full-fledged
hyperbolic dynamical system exhibiting non-trivial recurrence, can be replaced by a
rescaling with trivial, non-recurrent dynamics as long as one is able to control the escape
rate of points in a 'deformation' space. We conclude by surveying related results,
open questions and directions for future research. |
Room Reservation Information
| Room Number: | MB216 |
|---|
| Date: | 02 / 01 / 2011 |
|---|
| Time: | 03:30pm - 06:00pm |
|---|
