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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 323–336 (Mi znsl4394)  
Combinatorial and algorithmic methods

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

N. A. Sidorov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (606 kB)
Abstract: The problem of whether the infinite convolution of certain discrete distributions naturally associated with the rotation of a circle through an irrational angle of $\alpha$ is singular or absolutely continuous for different values of $\alpha$ is studied. Bibliography: 9 titles.
Received: 12.01.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4187–4195
DOI: https://doi.org/10.1007/BF02355812
Bibliographic databases:
Document Type: Article
UDC: 519.53
Language: Russian
Citation: N. A. Sidorov, “Singularity and absolute continuity of measures associated with the rotation of a circle”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 323–336; J. Math. Sci. (New York), 87:6 (1997), 4187–4195
Citation in format AMSBIB
\Bibitem{Sid95}
\by N.~A.~Sidorov
\paper Singularity and absolute continuity of measures associated with the rotation of a~circle
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 323--336
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374327}
\zmath{https://zbmath.org/?q=an:0909.60035|0887.60049}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4187--4195
\crossref{https://doi.org/10.1007/BF02355812}
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