Fractal properties of some Bernoulli convolutions

DOI10.1090/S0094-9000-09-00779-0zbMath1224.60082OpenAlexW2012764447MaRDI QIDQ5391391

Ya. V. Goncharenko, Grygoriy Torbin, Mykola V. Pratsiovytyi

Publication date: 6 April 2011

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

Full work available at URL: https://doi.org/10.1090/s0094-9000-09-00779-0

zbMATH Keywords

Bernoulli convolutionHausdorff-Besicovitch dimensionsingularly continuous probability distributionHausdorff dimension of distributionset of incomplete sums of series

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Continuity and singularity of induced measures (60G30)

Related Items (4)

Singularity and fine fractal properties of a certain class of infinite Bernoulli convolutions with an essential intersection ⋮ Singularity and fine fractal properties of one class of infinite Bernoulli convolutions with essential overlapping. II ⋮ Superfractality of the set of incomplete sums of one positive series ⋮ The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity

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