The equivalence of some Bernoulli convolutions to Lebesgue measure

DOI10.1090/S0002-9939-98-04460-8zbMath0912.28004MaRDI QIDQ4211001

R. Daniel Mauldin, Károly Simon

Publication date: 10 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

distributionsindependent random variablessingular measureabsolutely continuous measureBernoulli convolutionsequivalent measures

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Contents, measures, outer measures, capacities (28A12) Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Hausdorff and packing measures (28A78) Absolutely continuous real functions in one variable (26A46)

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