8 citations · 8 across the 2 of their papers we have counts for
3 papers
math.PR2014
Smallest Singular Value for Perturbations of Random Permutation Matrices
Gérard Ben Arous, Kim Dang
We take a first small step to extend the validity of Rudelson-Vershynin type estimates to some sparse random matrices, here random permutation matrices. We give lower (and upper) b…
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
On fluctuations of eigenvalues of random permutation matrices
Gérard Ben Arous, Kim Dang
Smooth linear statistics of random permutation matrices, sampled under a general Ewens distribution, exhibit an interesting non-universality phenomenon. Though they have bounded va…