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Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems

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Abstract:

 In this paper, we establish a multifractal formalism of weak Gibbs measures associated to potentials of weak bounded variation for certain nonhyperbolic systems. We apply our results to Manneville-Pomeau type maps and a piecewise conformal two-dimensional countable Markov map with indifferent periodic points which is related to a complex continued fraction.

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Authors and Affiliations

  1. Department of Business Administration, Sapporo University, Nishioka, Toyohira-ku, Sapporo 062, Japan. E-mail:yuri@math.sci.hokudai.ac.jp; yuri@mail-ext.sapporo-u.ac.jp, , , , , , JP

    Michiko Yuri

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  1. Michiko Yuri
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Received: 6 September 2001 / Accepted: 21 May 2002 Published online: 12 August 2002

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Yuri, M. Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems. Commun. Math. Phys. 230, 365–388 (2002). https://doi.org/10.1007/s00220-002-0701-8

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  • DOI: https://doi.org/10.1007/s00220-002-0701-8

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