15 citations · 35 across the 18 of their papers we have counts for
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Limit theorems for orthogonal polynomials related to circular ensembles
Joseph Najnudel, Ashkan Nikeghbali, Alain Rouault
For a natural extension of the circular unitary ensemble of order n, we study as n tends to infinity, the asymptotic behavior of the sequence of orthogonal polynomials with respect…
Large cycles and a functional central limit theorem for generalized weighted random permutations
Ashkan Nikeghbali, Julia Storm, Dirk Zeindler
The objects of our interest are the so-called -permutations, which are permutations whose cycle length lie in a fixed set . They have been extensively studied with respect to…
On the number of zeros of linear combinations of independent characteristic polynomials of random unitary matrices
Yacine Barhoumi, Chris Hughes, Joseph Najnudel +1
We show that almost all the zeros of any finite linear combination of independent characteristic polynomials of random unitary matrices lie on the unit circle. This result is the r…