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 |
|---|
| 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 |
|---|
