arXiv Analytics

Sign in

arXiv:1009.0086 [math.DS]AbstractReferencesReviewsResources

Escape rates for Gibbs measures

Andrew Ferguson, Mark Pollicott

Published 2010-09-01, updated 2011-03-06Version 2

We study the asymptotic behaviour of the escape rate of a Gibbs measure supported on a conformal repeller through a small hole. There are additional applications to the convergence of Hausdorff dimension of the survivor set.

Comments: 31 pages
Categories: math.DS
Subjects: 28A80, 37D35
Related articles: Most relevant | Search more
arXiv:1512.04432 [math.DS] (Published 2015-12-14)
Escape rates for the Farey map with approximated holes
arXiv:0809.0150 [math.DS] (Published 2008-08-31)
Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
arXiv:1612.08426 [math.DS] (Published 2016-12-26)
Asymptotic behaviour of measure for captured trajectories into parametric autoresonance

Links

Toolbox