Singularity and absolute continuity of measures associated with the rotation of a circle

DOI10.1007/BF02355812zbMath0909.60035OpenAlexW2026527765MaRDI QIDQ1375185

Nikita Sidorov

Publication date: 3 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355812

zbMATH Keywords

rotation of the circlesingularity and absolute continuity of measuresinfinite convolution

Mathematics Subject Classification ID

Continuity and singularity of induced measures (60G30) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• Representations of real numbers by infinite series
• Law of large numbers and the central limit theorem for sequences of coefficients of rotational expansions
• A theorem on the Markov periodic approximation in ergodic theory
• Entropy and singularity of infinite convolutions
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The Entropy of a Certain Infinitely Convolved Bernoulli Measure

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