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 Seminar|
|Speaker:||Mike Todd, Boston University|
|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
|Date:||04 / 19 / 2010|
|Time:||03:30pm - 05:30pm|