Cycle structure of random permutations with cycle weights
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.Copyright  2012 Wiley Periodicals, Inc. Random Struct. Alg., 44, 109-133, 2014
cycle structure random permutations cycle weights ewens distribution