Spherically symmetric random permutations

We consider random permutations which are spherically symmetric with respect to a metric on the symmetric group Sn and are consistent as n varies. The extreme infinitely spherically symmetric permutation-valued processes are identified for the Hamming, Kendall-tau and Cayley metrics. The proofs in a...

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Bibliographic Details
Main Authors: Gnedin, Alexander, Gorin, Vadim
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Wiley 2020
Online Access:https://hdl.handle.net/1721.1/125938