Geodesic
Singularity and absolute continuity of measures associated with the rotation of a~circle
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 323-336

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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. 
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     author = {N. A. Sidorov},
     title = {Singularity and absolute continuity of measures associated with the rotation of a~circle},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {323--336},
     publisher = {mathdoc},
     volume = {223},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a17/}
}
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N. A. Sidorov. Singularity and absolute continuity of measures associated with the rotation of a~circle. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 323-336. http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a17/