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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| Veröffentlicht in: | Random structures & algorithms 2019-09, Vol.55 (2), p.342-355 |
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| container_title | Random structures & algorithms |
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| creator | Gnedin, Alexander Gorin, Vadim |
| description | 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 all three cases are based on a unified approach through stochastic monotonicity. |
| doi_str_mv | 10.1002/rsa.20847 |
| format | Article |
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| subjects | Martin boundary Permutations random permutations spherical symmetry |
| title | Spherically symmetric random permutations |
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