Escape rates for Gibbs measures

AJ Ferguson; M Pollicott

doi:10.1017/S0143385711000058

Escape rates for Gibbs measures

AJ Ferguson
, M Pollicott

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

61 Citations (Scopus)

Abstract

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.

Translated title of the contribution	Escape rates for Gibbs measures
Original language	English
Pages (from-to)	961-988
Number of pages	28
Journal	Ergodic Theory and Dynamical Systems
Volume	32
Issue number	3
DOIs	https://doi.org/10.1017/S0143385711000058
Publication status	Published - May 2012

Access to Document

10.1017/S0143385711000058

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8267270&fulltextType=RA&fileId=S0143385711000058

Handle.net

Persistent link

Cite this

@article{dff6c24b548c4a84ad43bf8c475a9c40,

title = "Escape rates for Gibbs measures",

abstract = "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.",

author = "AJ Ferguson and M Pollicott",

year = "2012",

month = may,

doi = "10.1017/S0143385711000058",

language = "English",

volume = "32",

pages = "961--988",

journal = "Ergodic Theory and Dynamical Systems",

issn = "1469-4417",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Escape rates for Gibbs measures

AU - Ferguson, AJ

AU - Pollicott, M

PY - 2012/5

Y1 - 2012/5

N2 - 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.

AB - 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.

U2 - 10.1017/S0143385711000058

DO - 10.1017/S0143385711000058

M3 - Article (Academic Journal)

SN - 1469-4417

VL - 32

SP - 961

EP - 988

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

Escape rates for Gibbs measures

Abstract

Access to Document

Handle.net

Fingerprint

Cite this