For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.
|Title:||A Necessary and Sufficient Condition for the Existence of Transient Potentials|
|Seminar:||Center for Dynamics and Geometry Seminars|
|Speaker:||V. Cyr, PSU|
|A countable Markov shift is the left shift acting on the space of (one sided) infinite trajectories through a directed graph. In the thermodynamic formalism of Markov shifts, we ask whether there is an equilibrium measure. A known obstruction to this is the phenomenon of transience.
In this talk, we ask when a countable directed graph carries a transient potential. We define a new criterion on a graph which turns out to be necessary and sufficient for the existence of a transient potential on the associated countable Markov shift.|
Room Reservation Information
|Date:||11 / 10 / 2008|
|Time:||03:30pm - 05:30pm|