Spatio-temporal large deviations principle for coupled circle maps

摘要: We consider the (d+1)-dimensional an dynamical system constituted by weakly coupled expanding circle maps on \Zd together with spatial shifts. This viewpoint allows us to use thermodynamic formalism, and describe asymptotic behavior of in this setup. obtain a volume lemma, which describes exponential size under Lebesgue measure balls around any orbit, then large deviations principle for empirical associated system. The proofs are direct: we do not coding constructed Jiang such systems.