Dynamical Systems Seminar

Title: Thermodynamics with small obstructions
Speaker: Vaughn Climenhaga
Speaker Info: Toronto
Brief Description:
Special Note:

Bowen showed that if (X,f) is an expansive system with specification, then every potential function satisfying a certain regularity condition, now called the Bowen property, has a unique equilibrium state. We show that uniqueness persists if all obstructions to specification and the Bowen property are thermodynamically small. Applications include the fact that every subshift factor of a beta shift has a unique measure of maximal entropy, which answers an open question of Klaus Thomsen, and that every Holder continuous potential on a beta shift has a unique equilibrium state, which generalises a result of Peter Walters. (This is joint work with Dan Thompson.)
Date: Tuesday, November 15, 2011
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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