Spherically symmetric random permutations
Copyright policy )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 all three cases are based on a unified approach through stochastic monotonicity.
- University of London United Kingdom
- Queen Mary University of London United Kingdom
- Massachusetts Institute of Technology United States
random permutations, Permutations, words, matrices, Combinatorial probability, Martin boundary, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), spherical symmetry, Mathematics - Probability
random permutations, Permutations, words, matrices, Combinatorial probability, Martin boundary, Probability (math.PR), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), spherical symmetry, Mathematics - Probability
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