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Escape rates for Gibbs measures

Published online by Cambridge University Press:  27 April 2011

ANDREW FERGUSON  and
MARK POLLICOTT
ANDREW FERGUSON
Affiliation:
Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK (email: [email protected], [email protected])
MARK POLLICOTT
Affiliation:
Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK (email: [email protected], [email protected])
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Abstract

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In this paper 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 the Hausdorff dimension of the survivor set.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 3 , June 2012 , pp. 961 - 988
Copyright
Copyright © Cambridge University Press 2011

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