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Spherically symmetric random permutations
We consider random permutations which are spherically symmetric with respect to a metric on the symmetric groupSnand are consistent asnvaries. The extreme infinitely spherically symmetric permutation‐valued processes are identified for the Hamming, Kendall‐tau and Cayley metrics. The proofs in all three cases are based on a unified approach through stochastic monotonicity.
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- Award ID(s):
- 1664619
- PAR ID:
- 10087672
- Publisher / Repository:
- Wiley Blackwell (John Wiley & Sons)
- Date Published:
- Journal Name:
- Random Structures & Algorithms
- Volume:
- 55
- Issue:
- 2
- ISSN:
- 1042-9832
- Page Range / eLocation ID:
- p. 342-355
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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