Research output: Contribution to journal › Article › peer-review
Distribution of cycle lengths of infinite permutations. / Tsilevich, N. V.
In: Journal of Mathematical Sciences , Vol. 87, No. 6, 01.01.1997, p. 4072-4081.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Distribution of cycle lengths of infinite permutations
AU - Tsilevich, N. V.
PY - 1997/1/1
Y1 - 1997/1/1
N2 - The aim of this paper is to show that the well-studied families of GEM and Poisson-Dirichlet measures may be obtained as distributions of normalized cycle lengths on the space of vitual pemutations (i.e., elements of a projective limit of symmetric groups). Two characterizations of Ewens distibutions are given.
AB - The aim of this paper is to show that the well-studied families of GEM and Poisson-Dirichlet measures may be obtained as distributions of normalized cycle lengths on the space of vitual pemutations (i.e., elements of a projective limit of symmetric groups). Two characterizations of Ewens distibutions are given.
UR - http://www.scopus.com/inward/record.url?scp=0040179216&partnerID=8YFLogxK
U2 - 10.1007/BF02355803
DO - 10.1007/BF02355803
M3 - Article
AN - SCOPUS:0040179216
VL - 87
SP - 4072
EP - 4081
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 49790538