Singularity and fine fractal properties of a certain class of infinite Bernoulli convolutions with an essential intersection

DOI10.1090/S0094-9000-2014-00907-2zbMath1329.60107OpenAlexW2010627995MaRDI QIDQ2923385

M. V. Lebid', Grygoriy Torbin

Publication date: 15 October 2014

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2014-00907-2

zbMATH Keywords

fractalsHausdorff-Besicovitch dimensionsingularly continuous probability measuresinfinite Bernoulli convolutionsfaithful covering systems

Mathematics Subject Classification ID

Fractals (28A80) Continuity and singularity of induced measures (60G30) Hausdorff and packing measures (28A78)

Related Items (1)

Singularity and fine fractal properties of one class of infinite Bernoulli convolutions with essential overlapping. II

Cites Work

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• On fine fractal properties of generalized infinite Bernoulli convolutions
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• The Entropy of a Certain Infinitely Convolved Bernoulli Measure
• Arithmetic Properties of Bernoulli Convolutions
• Dimension, measure and infinite Bernoulli convolutions
• Fractal properties of some Bernoulli convolutions
• Multifractal Analysis of Singularly Continuous Probability Measures
• Distribution Functions and the Riemann Zeta Function

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