Large deviations for ℤd-Actions

A. Eizenberg; Y. Kifer; B. Weiss

doi:10.1007/BF02101485

Large deviations for ℤ^d-Actions

A. Eizenberg^*
, Y. Kifer
, B. Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We establish large deviations bounds for translation invariant Gibbs measures of multidimensional subshifts of finite type. This generalizes [FO] and partially [C, O, and B], where only full shifts were considered. Our framework includes, in particular, the hard-core lattice gas models which are outside of the scope of [FO, C, O, and B].

Original language	English
Pages (from-to)	433-454
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	164
Issue number	3
DOIs	https://doi.org/10.1007/BF02101485
State	Published - Aug 1994

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abstract = "We establish large deviations bounds for translation invariant Gibbs measures of multidimensional subshifts of finite type. This generalizes [FO] and partially [C, O, and B], where only full shifts were considered. Our framework includes, in particular, the hard-core lattice gas models which are outside of the scope of [FO, C, O, and B].",

author = "A. Eizenberg and Y. Kifer and B. Weiss",

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AB - We establish large deviations bounds for translation invariant Gibbs measures of multidimensional subshifts of finite type. This generalizes [FO] and partially [C, O, and B], where only full shifts were considered. Our framework includes, in particular, the hard-core lattice gas models which are outside of the scope of [FO, C, O, and B].

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Large deviations for ℤ^d-Actions

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