On the Gibbs properties of the Erdős measure

DOI10.1016/S1631-073X(02)00002-XzbMath1028.37002OpenAlexW2055206484MaRDI QIDQ1871539

Eric Olivier

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)00002-x

zbMATH Keywords

multifractal formalismBernoulli convolutionErdős measure\(\beta\)-numerationinfinite convolved Bernoulli measures

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20) Fractals (28A80)

Cites Work

• Unnamed Item
• Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems
• On the Gibbs properties of Bernoulli convolutions related to \(\beta\)-numeration in multinacci bases
• Fat baker's transformations
• On the convergence to equilibrium states for certain non-hyperbolic systems

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