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 α is singular or absolutely continuous for different values of α is studied. Bibliography: 9 titles.
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References
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 223, 1995, pp. 323–336.
This paper is partially supported by the Russian Foundation for Basic Research, grant 94-01-00921.
Translated by N. A. Sidorov.
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Sidorov, N.A. Singularity and absolute continuity of measures associated with the rotation of a circle. J Math Sci 87, 4187–4195 (1997). https://doi.org/10.1007/BF02355812
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DOI: https://doi.org/10.1007/BF02355812