Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems
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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.
KeywordsPeriodic Point Continue Fraction Gibbs Measure Multifractal Analysis Multifractal Formalism
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