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• W1772148631 abstract "This article considers some topics in random permutations and random partitions highlighting analogies with random matrix theory (RMT). An ensemble of random permutations is determined by a probability distribution on <italic>Sn</italic>, the set of permutations of [<italic>n</italic>] := {1, 2, . . . , <italic>n</italic>}. In many ways, the symmetric group <italic>Sn</italic> is linked to classical matrix groups. Ensembles of random permutations should be given the same treatment as random matrix ensembles, such as the ensembles of classical compact groups and symmetric spaces of compact type with normalized invariant measure. The article first describes the Ewens measures, virtual permutations, and the Poisson-Dirichlet distributions before discussing results related to the Plancherel measure on the set of equivalence classes of irreducible representations of <italic>Sn</italic> and its consecutive generalizations: the z-measures and the Schur measures." @default.
• W1772148631 created "2016-06-24" @default.
• W1772148631 creator A5076729643 @default.
• W1772148631 date "2015-09-17" @default.
• W1772148631 modified "2023-09-27" @default.
• W1772148631 title "Random permutations and related topics" @default.
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• W1772148631 doi "https://doi.org/10.1093/oxfordhb/9780198744191.013.25" @default.
• W1772148631 hasPublicationYear "2015" @default.
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