Cycle structure of random permutations with cycle weights
Probability
2013-11-28 v2 Combinatorics
Abstract
We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle lengths and total number of cycles depend strongly on the parameters, while the distributions of finite cycles are usually independent Poisson random variables.
Keywords
Cite
@article{arxiv.1102.4796,
title = {Cycle structure of random permutations with cycle weights},
author = {Nicholas M. Ercolani and Daniel Ueltschi},
journal= {arXiv preprint arXiv:1102.4796},
year = {2013}
}
Comments
22 pages, 2 figures