On the Hausdorff dimension of Rademacher Riesz products

DOI10.1007/BF01571273zbMath0726.42016OpenAlexW2072531862MaRDI QIDQ803857

N. E. Zubov

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/178482

zbMATH Keywords

Hausdorff dimensionfractal dimensionBorel setsfractalsRademacher functionWalsh seriesRademacher Riesz product

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (9)

Dimension and entropy of a non-ergodic Markovian process and its relation to Rademacher Riesz products ⋮ On the continuity of measures ⋮ On the Fourier transforms of inhomogeneous self-similar measures ⋮ Some remarks on \(p\)-adic Riesz products ⋮ A nonlinear discrete transform for pattern recognition of discrete chaotic systems. ⋮ Coin-tossing measures and their Fourier transforms ⋮ On Hausdorff dimension of certain Riesz product in local fields ⋮ The Hausdorff dimension of very weak self-similar fractals described by the Haar wavelet system ⋮ On a generalized entropy's formula

Cites Work

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• Étude de quelques propriétés des produits de Riesz
• Riesz products, Hausdorff dimension and normal numbers
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES

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