Cycle structure of random permutations with cycle weights
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.
 Publication:

arXiv eprints
 Pub Date:
 February 2011
 arXiv:
 arXiv:1102.4796
 Bibcode:
 2011arXiv1102.4796E
 Keywords:

 Mathematics  Probability;
 Mathematics  Combinatorics;
 60K35
 EPrint:
 22 pages, 2 figures