Coin tossing and powers of singular measures

DOI10.1017/S0305004100051173zbMath0307.60046OpenAlexW2097755726MaRDI QIDQ4064794

Gavin Brown, William Moran

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1017/s0305004100051173

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Combinatorial probability (60C05) Measures on groups and semigroups, etc. (43A05) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (6)

Some remarks on the existence of densities for sums with weights ⋮ q-adic spectral analysis of some arithmetic sequences ⋮ NOTE ON FOURIER–STIELTJES COEFFICIENTS OF COIN-TOSSING MEASURES ⋮ A Measure which is Singular and Uniformly Locally Uniform ⋮ Functional Calculus and Positive-Definite Functions ⋮ Mesures spectrales de Walsh associées à certaines suites arithmétiques

Cites Work

• On the Fourier transforms of an interesting class of measures
• On equivalence of infinite product measures
• M ₀ (G ) has a Symmetric Maximal Ideal off the Šilov Boundary
• The Silov Boundary of M 0 (G)
• Random Variables with Independent Binary Digits
• Distribution Functions and the Riemann Zeta Function
• On Singular Distributions
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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