PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok.

Title:Functional spaces adapted to Anosov systems, I
Seminar:Working Seminar: Dynamics and its Working Tools
Speaker:Pavlo Tsytsura, Penn State
Abstract:
Following the works of C.Liverani, V.Baladi, M.Tsujii and others, we will discuss a very powerful approach developed in recent years for studying statistical properties of dynamical systems. The main idea is to introduce functional spaces adapted to the hyperbolic systems on which the properties of the dynamical transfer operator are studied directly without considering Markov partitions. This construction leads to simpler and more transparent proofs of some known theorems as well as many new results. In particular, it allows to analyse correlation spectrum (and the rate of mixing) for smooth measure, analytical properties of dynamical zeta functions and zeros of dynamical determinants, statistical and stochastic stability results etc.

Room Reservation Information

Room Number:MB216
Date:04 / 12 / 2011
Time:03:30pm - 06:00pm