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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.
Original language | English |
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Pages (from-to) | 4072-4081 |
Number of pages | 10 |
Journal | Journal of Mathematical Sciences |
Volume | 87 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jan 1997 |
ID: 49790538