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 |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | V. Cyr, PSU |
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| Abstract: |
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| 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 |
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| Date: | 11 / 10 / 2008 |
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| Time: | 03:30pm - 05:30pm |
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