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Distribution of cycle lengths of infinite permutations

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Abstract

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.

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Authors
  1. N. V. Tsilevich
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 223, 1994, pp. 148–161.

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Tsilevich, N.V. Distribution of cycle lengths of infinite permutations. J Math Sci 87, 4072–4081 (1997). https://doi.org/10.1007/BF02355803

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  • DOI: https://doi.org/10.1007/BF02355803

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