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 Seminar|
|Speaker:||Vaughn Climenhaga, University of Maryland|
|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
|Date:||01 / 19 / 2011|
|Time:||03:35pm - 05:30pm|