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Large Deviations for Countable to One Markov Systems

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Abstract

In this paper, we study large deviation properties for countable to one Markov systems associated to weak Gibbs measures for non-Hölder potentials. Furthermore, we establish multifractal large deviation laws for countable to one piecewise conformal Markov systems, which are derived systems constructed over hyperbolic regions for certain nonhyperbolic systems exhibiting intermittency. We apply our results to higher-dimensional number theoretical transformations.

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  1. Michiko Yuri

    Present address: Department of Mathematics, Graduate school of Science, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo, 060-0810, Japan

Authors and Affiliations

  1. Department of Business Administration, Sapporo University, Nishioka, Toyohira-ku, Sapporo, 062-8520, Japan

    Michiko Yuri

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  1. Michiko Yuri
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Correspondence to Michiko Yuri.

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Communicated by G. Gallavotti

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Yuri, M. Large Deviations for Countable to One Markov Systems. Commun. Math. Phys. 258, 455–474 (2005). https://doi.org/10.1007/s00220-005-1363-0

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  • DOI: https://doi.org/10.1007/s00220-005-1363-0

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