On the Gibbs properties of Bernoulli convolutions related to \(\beta\)-numeration in multinacci bases

DOI10.1007/s00605-005-0298-zzbMath1076.28002arXivmath/0411278OpenAlexW2060219434MaRDI QIDQ2486420

Alain Thomas, Nikita Sidorov, Eric Olivier

Publication date: 5 August 2005

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411278

zbMATH Keywords

continued fractionBernoulli convolutionweak Gibbs measurePV-number

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Positive matrices and their generalizations; cones of matrices (15B48) Other number representations (11A67) Dimension theory of smooth dynamical systems (37C45)

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Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices ⋮ Multifractal analysis of Bernoulli convolutions associated with Salem numbers ⋮ On a waiting-time result of Kontoyiannis: mixing or decoupling? ⋮ Homoclinic processes and invariant measures for hyperbolic toral automorphisms ⋮ Digit frequencies and Bernoulli convolutions ⋮ Phase transitions in the multifractal analysis of self-similar measures. ⋮ Multifractal structure of Bernoulli convolutions ⋮ On a class of sofic affine invariant subsets of the 2-torus related to an Erdős problem ⋮ On the Gibbs properties of the Erdős measure

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