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Journal of Statistical Physics

, Volume 142, Issue 5, pp 1105–1120 | Cite as

Multifractal Analysis of Inhomogeneous Bernoulli Products

  • Athanasios BatakisEmail author
  • Benoît Testud
Article

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.

Keywords

Hausdorff dimension Multifractal analysis Gibbs measure Phase transition 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.MAPMO CNRS UMR 6628, Fédération Denis PoissonUniversité D’OrléansOrléans cedex 2France
  2. 2.LAMFA CNRS UMR 6140Université de Picardie Jules VerneAmiens cedexFrance

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