18 citations · 88 across the 20 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.PR2011★ 8 cited
The Characteristic Polynomial of a Random Permutation Matrix at Different Points
Kim Dang, Dirk Zeindler
We consider the logarithm of the characteristic polynomial of random permutation matrices, evaluated on a finite set of different points. The permutations are chosen with respect t…
math.PR2011★ 15 cited
Random permutation matrices under the generalized Ewens measure
Christopher Hughes, Joseph Najnudel, Ashkan Nikeghbali +1
We consider a generalization of the Ewens measure for the symmetric group, calculating moments of the characteristic polynomial and similar multiplicative statistics. In addition,…
math.PR2011★ 1 cited
The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles
Ashkan Nikeghbali, Dirk Zeindler
The goal of this paper is to analyse the asymptotic behavior of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are…