Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 323-336
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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/
@article{ZNSL_1995_223_a17,
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},
year = {1995},
volume = {223},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a17/}
}
TY - JOUR
AU - N. A. Sidorov
TI - Singularity and absolute continuity of measures associated with the rotation of a circle
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 323
EP - 336
VL - 223
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a17/
LA - ru
ID - ZNSL_1995_223_a17
ER -
%0 Journal Article
%A N. A. Sidorov
%T Singularity and absolute continuity of measures associated with the rotation of a circle
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 323-336
%V 223
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a17/
%G ru
%F ZNSL_1995_223_a17
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.