Singularity of the distribution of a random variable represented by an $A_{2}$-continued fraction with independent elements

DOI10.1090/S0094-9000-2011-00817-4zbMath1224.60021OpenAlexW2083531523MaRDI QIDQ5391431

D. V. Kyurchev, 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/s0094-9000-2011-00817-4

zbMATH Keywords

random continued fraction\(A_2\)-continued fractionCantor type singular distributionSalem type singular distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50)

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