Asymptotic entropy drops and escape rates for Gibbs measures

CDSNS Colloquium
Monday, April 26, 2010 - 11:00
1 hour (actually 50 minutes)
Skiles 269
University of Warwick
We consider a shift transformation and a Gibbs measure and estimate the drop in entropy caused by deleting an arbitrarily small (cylinder) set. This extends a result of Lind. We also estimate the speed at which the Gibbs measure escapes into the set, which relates to recent work of Bunimovich-Yurchenko and Keller-Liverani. This is joint with Andrew Ferguson.