On the distribution of digits in dyadic expansions

DOI10.1007/BF03322068zbMath0909.28004OpenAlexW2110233935MaRDI QIDQ1384124

D. Massart

Publication date: 22 March 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322068

zbMATH Keywords

Hausdorff dimensionmultifractal analysisMarkov measuresdyadic expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Hausdorff and packing measures (28A78) Measure-theoretic ergodic theory (28D99)

Related Items (6)

Hausdorff and packing dimensions of non-normal tuples of numbers: non-linearity and divergence points ⋮ Dimensions of modified Besicovitch subsets of Moran fractal ⋮ A nonlinear discrete transform for pattern recognition of discrete chaotic systems. ⋮ On the exact rate of convergence of frequencies of digits in self-similar sets ⋮ The Hausdorff dimension of a class of fractals, which are determined by the distribution of dyadic digits ⋮ The Hausdorff dimension of very weak self-similar fractals described by the Haar wavelet system

Cites Work

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• Hausdorff dimension and Perron-Frobenius theory
• Dimension and entropy of a non-ergodic Markovian process and its relation to Rademacher Riesz products
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. I
• Sur les dimensions de mesures
• Dyadic expansions and Hausdorff measure
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory

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