Multifractal Analysis of Inhomogeneous Bernoulli Products

Journal of statistical physics（2011）

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摘要

We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures. On another hand, we show that these measures can have a dense set of phase transitions.

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关键词

Hausdorff dimension,Multifractal analysis,Gibbs measure,Phase transition

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