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One class of singular complex-valued random variables of the Jessen-Wintner type

✍ Scribed by O. V. Shkol’nyi; M. V. Prats’ovytyi

Book ID
110544683
Publisher
Springer
Year
1997
Tongue
English
Weight
412 KB
Volume
49
Category
Article
ISSN
0041-5995

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Jessen–Wintner type random variables and
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✍ Sergio Albeverio; Yana Gontcharenko; Mykola Pratsiovytyi; Grygoriy Torbin 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 201 KB

## Abstract Formulas are given for the Lebesgue measure and the Hausdorff–Besicovitch dimension of the minimal closed set __S~ξ~__ supporting the distribution of the random variable __ξ__ = $ \sum ^\infty \_{k=1} $ 2^–__k__^ __τ~k~__, where __τ~k~__ are independent random variables taking the value