PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:Thermodynamics for non-uniformly mixing systems: factors of beta-shifts are intrinsically ergodic
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Vaughn Climenhaga, University of Maryland
Abstract:
Thermodynamic formalism begins by realising the topological entropy of a topological dynamical system as the supremum of the measure-theoretic entropies, taken over all invariant measures. If there exists a unique measure achieving this supremum, the system is called intrinsically ergodic. It is well known that intrinsic ergodicity holds for expansive systems satisfying a uniform mixing property (Markov, sofic, specification). In joint work with Daniel Thompson, we introduce a new technique for dealing with systems which are not uniformly mixing, and give verifiable criteria for intrinsic ergodicity. As a corollary, we show that every subshift factor of a beta-shift is intrinsically ergodic, which answers an open question of Klaus Thomsen.

Room Reservation Information

Room Number:MB106
Date:01 / 19 / 2011
Time:03:35pm - 05:30pm