On the number of cycles in a random permutation

Kenneth Maples, Ashkan Nikeghbali, Dirk Zeindler
2012 Electronic Communications in Probability  
We show that the number of cycles in a random permutation chosen according to generalized Ewens measure is normally distributed and compute asymptotic estimates for the mean and variance.
doi:10.1214/ecp.v17-1934 fatcat:a5ekdp2hgvd3zexzvz5m3sb7ie