77 citations · 222 across the 43 of their papers we have counts for
4 papers · 2 filters
Limit operators for circular ensembles
Kenneth Maples, Joseph Najnudel, Ashkan Nikeghbali
It is known that a unitary matrix can be decomposed into a product of reflections, one for each dimension, and the Haar measure on the unitary group pushes forward to independent u…
A characterization of limiting functions arising in mod-* convergence
Emmanuel Kowalski, Joseph Najnudel, Ashkan Nikeghbali
In this note, we characterize the limiting functions in mod-Gausssian convergence; our approach sheds a new light on the nature of mod-Gaussian convergence as well. Our results in…
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…
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…