Electronic Journal of Probability
- Electron. J. Probab.
- Volume 21 (2016), paper no. 40, 18 pp.
Fixed points and cycle structure of random permutations
Using the recently developed notion of permutation limits this paper derives the limiting distribution of the number of fixed points and cycle structure for any convergent sequence of random permutations, under mild regularity conditions. In particular this covers random permutations generated from Mallows Model with Kendall’s Tau, $\mu $ random permutations introduced in , as well as a class of exponential families introduced in .
Electron. J. Probab., Volume 21 (2016), paper no. 40, 18 pp.
Received: 12 October 2015
Accepted: 24 May 2016
First available in Project Euclid: 15 June 2016
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Mukherjee, Sumit. Fixed points and cycle structure of random permutations. Electron. J. Probab. 21 (2016), paper no. 40, 18 pp. doi:10.1214/16-EJP4622. https://projecteuclid.org/euclid.ejp/1465991838