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arXiv · 1106.0720

Almost-additive thermodynamic formalism for countable Markov shifts

Godofredo Iommi·Yuki Yayama
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Abstract

We introduce a definition of pressure for almost-additive sequences of continuous functions defined over (non-compact) countable Markov shifts. The variational principle is proved. Under certain assumptions we prove the existence of Gibbs and equilibrium measures. Applications are given to the study of maximal Lypaunov exponents of product of matrices.

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Godofredo Iommi, Yuki Yayama. 2011-06-03. Almost-additive thermodynamic formalism for countable Markov shifts. https://doi.org/10.1088/0951-7715%2F25%2F1%2F165

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