Regenerative random permutations of integers

Autor: Wenpin Tang, Jim Pitman
Rok vydání: 2019
Předmět:
Zdroj: Ann. Probab. 47, no. 3 (2019), 1378-1416
ISSN: 0091-1798
DOI: 10.1214/18-aop1286
Popis: Motivated by recent studies of large Mallows$(q)$ permutations, we propose a class of random permutations of $\mathbb{N}_{+}$ and of $\mathbb{Z}$, called regenerative permutations. Many previous results of the limiting Mallows$(q)$ permutations are recovered and extended. Three special examples: blocked permutations, p-shifted permutations and p-biased permutations are studied.
Comment: 30 pages. This paper is published by https://projecteuclid.org/euclid.aop/1556784022
Databáze: OpenAIRE
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