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• W2057974727 abstract "We consider the $(d+1)$-dimensional an dynamical system constituted by weakly coupled expanding circle maps on $Z^d$ together with the spatial shifts. This viewpoint allows us to use thermodynamic formalism, and to describe the asymptotic behavior of the system in this setup. We obtain a volume lemma, which describes the exponential behavior of the size under Lebesgue measure of dynamical balls around any orbit, and then a large deviations principle for the empirical measure associated to this dynamical system. The proofs are direct: we do not use the coding constructed by Jiang for such systems." @default.
• W2057974727 created "2016-06-24" @default.
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• W2057974727 date "2004-01-01" @default.
• W2057974727 modified "2023-09-26" @default.
• W2057974727 title "Spatio-temporal large deviations principle for coupled circle maps" @default.
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• W2057974727 doi "https://doi.org/10.1214/aop/1079021461" @default.
• W2057974727 hasPublicationYear "2004" @default.
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