A dimension formula for Bernoulli convolutions

DOI10.1007/BF02187064zbMath0840.58026MaRDI QIDQ1906388

Anna Porzio, François Ledrappier

Publication date: 7 July 1996

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

zbMATH Keywords

random matricesHausdorff dimensionLyapunov exponentBernoulli convolutions

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items

Recent progress on Bernoulli convolutions ⋮ Dimension theory of iterated function systems ⋮ Bernoulli convolutions associated with certain non—Pisot numbers ⋮ On the discount sum of Bernoulli random variables ⋮ The local dimensions of the Bernoulli convolution associated with the golden number ⋮ A dimension result arising from the $L^q$-spectrum of a measure ⋮ The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers ⋮ Hausdorff measure and dimension of some fractals in \(\mathbb{R}^N\) ⋮ Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems ⋮ Multifractal measures and a weak separation condition ⋮ On the multifractal analysis of Bernoulli convolutions. II: Dimensions. ⋮ On the multifractal analysis of Bernoulli convolutions. I: Large-deviation results.

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