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The absolute continuity of the distribution of random sums with digits \(\{0,1,\dots,m-1\}\)

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Publication:1772960
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DOI10.14321/REALANALEXCH.30.1.0397zbMath1066.28004OpenAlexW2105962792MaRDI QIDQ1772960

Károly Simon, Hajnal R. Tóth

Publication date: 22 April 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.30.1.0397


zbMATH Keywords

Fourier transformdistributiontransversalityabsolute continuityrandom sumrandom seriesinfinite Bernoulli convolution


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)


Related Items (5)

Geometric series with randomly increasing exponents ⋮ A GENERAL RESULT ON ABSOLUTE CONTINUITY OF NON-UNIFORM SELF-SIMILAR MEASURES ON THE REAL LINE ⋮ Branching random walk with exponentially decreasing steps, and stochastically self-similar measures ⋮ On the dimension of triangular self-affine sets ⋮ On the absolute continuity of the Blackwell measure







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