Communications in Mathematical Physics

, Volume 230, Issue 2, pp 365–388 | Cite as

Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems

  • Michiko Yuri


 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.


Periodic Point Continue Fraction Gibbs Measure Multifractal Analysis Multifractal Formalism 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Michiko Yuri
    • 1
  1. 1.Department of Business Administration, Sapporo University, Nishioka, Toyohira-ku, Sapporo 062, Japan.;

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