Distribution of cycle lengths of infinite permutations
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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. Bibliography: 9 titles.
KeywordsCycle Length Symmetric Group Projective Limit Normalize Cycle Length Infinite Permutation
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