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On the multifractal analysis of Bernoulli convolutions. II: Dimensions.

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Publication:1593338
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DOI10.1007/BF02189236zbMath1043.37501MaRDI QIDQ1593338

François Ledrappier, Anna Porzio

Publication date: 16 January 2001

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


zbMATH Keywords

thermodynamic formalismHausdorff dimensiondimension spectrumRandom matricesFrostman measure methodlower estimate of the Hausdorff dimension


Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)


Related Items

Digit frequencies and Bernoulli convolutions



Cites Work

  • Unnamed Item
  • The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
  • Théorèmes limite pour les systèmes linéaires a coefficient markoviens. (Limit theorems for linear systems with Markovian coefficients)
  • Ergodic theory on compact spaces
  • The dimension spectrum of some dynamical systems
  • A dimension formula for Bernoulli convolutions
  • The Entropy of a Certain Infinitely Convolved Bernoulli Measure
  • Fat baker's transformations
  • Fractal measures and their singularities: The characterization of strange sets
  • GIBBS MEASURES IN ERGODIC THEORY
  • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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