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|
|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
|Date:||02 / 01 / 2011|
|Time:||03:30pm - 06:00pm|