On the regularity of the multifractal spectrum of Bernoulli convolutions

DOI10.1023/A:1023027718308zbMath1049.37014MaRDI QIDQ1284878

Anna Porzio

Publication date: 20 July 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Random matrices, thermodynamic formalism, multifractal analysis

Mathematics Subject Classification ID

Percolation (82B43) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Ergodic theory (37A99) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices ⋮ Multifractal analysis of Bernoulli convolutions associated with Salem numbers ⋮ Lyapunov exponents for products of matrices and multifractal analysis. I: Positive matrices ⋮ The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers

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