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arXiv · 1611.01860

Spherically Symmetric Random Permutations

Alexander Gnedin·Vadim Gorin
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Abstract

We consider random permutations which are spherically symmetric with respect to a metric on the symmetric group $S_n$ and are consistent as $n$ varies. The extreme infinitely spherically symmetric permutation-valued processes are identified for the Hamming, Kendall-tau and Caley metrics. The proofs in all three cases are based on a unified approach through stochastic monotonicity.

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Alexander Gnedin, Vadim Gorin. 2016-11-06. Spherically Symmetric Random Permutations. https://arxiv.org/abs/1611.01860

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