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Multifractal Analysis of Inhomogeneous Bernoulli Products

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Abstract

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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Authors and Affiliations

  1. MAPMO CNRS UMR 6628, Fédération Denis Poisson, Université D’Orléans, BP 6759, 45067, Orléans cedex 2, France

    Athanasios Batakis

  2. LAMFA CNRS UMR 6140, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039, Amiens cedex, France

    Benoît Testud

Authors
  1. Athanasios Batakis
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  2. Benoît Testud
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Correspondence to Athanasios Batakis.

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Batakis, A., Testud, B. Multifractal Analysis of Inhomogeneous Bernoulli Products. J Stat Phys 142, 1105–1120 (2011). https://doi.org/10.1007/s10955-011-0147-5

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  • DOI: https://doi.org/10.1007/s10955-011-0147-5

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