Large Deviations for Countable to One Markov Systems |
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| Authors: | Email author" target="_blank">Michiko?YuriEmail author |
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| Institution: | (1) Department of Business Administration, Sapporo University, Nishioka, Toyohira-ku, Sapporo 062-8520, Japan;(2) Present address: Department of Mathematics, Graduate school of Science, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo 060-0810, Japan |
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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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