PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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
Abstract:
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

Room Number:MB106
Date:11 / 10 / 2008
Time:03:30pm - 05:30pm