Jessen–Wintner type random variables and fractal properties of their distributions

DOI10.1002/mana.200310441zbMath1160.28002OpenAlexW1983844173MaRDI QIDQ3419645

Mykola V. Pratsiovytyi, Yana Gontcharenko, Grygoriy Torbin, Sergio A. Albeverio

Publication date: 7 February 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310441

zbMATH Keywords

Hausdorff-Besicovitch dimensionsuperfractalityanomalous fractalityJessen-Wintner type random variables

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items

Affine systems: asymptotics at infinity for fractal measures ⋮ On singularity and fine spectral structure of random continued fractions ⋮ Superfractality of the set of incomplete sums of one positive series

Cites Work

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• Absolute continuity of Bernoulli convolutions, a simple proof

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