PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Hope Shaffer, Mari Royer, Yakov Pesin, Dmitri Burago.

Title:Transience in dynamical systems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Mike Todd, Boston University
Abstract:
The statistical behavior of a dynamical system $(X,f)$ can be analyzed using thermodynamic formalism. This usually involves taking some potential $\phi$ and considering the pressure and equilibrium states of $(X,f, \phi)$. Singular behavior of $(X,f)$ can show up in the non-smoothness of the pressure w.r.t. $\phi$. This is referred to as a `phase transition'. In the case where $(X,f)$ is a countable Markov shift, Sarig has built a theory relating phase transitions and the notion of `transience'. In this talk I'll discuss joint work with G. Iommi, where we study transient phenomena in the compact setting.

Room Reservation Information

Room Number:MB106
Date:04 / 19 / 2010
Time:03:30pm - 05:30pm