77 citations · 222 across the 43 of their papers we have counts for
6 papers · 1 filter
On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices
Valentin Bahier, Joseph Najnudel
We study the limiting behavior of smooth linear statistics of the spectrum of random permutation matrices in the mesoscopic regime, when the permutation follows one of the Ewens me…
Feller coupling of cycles and Poisson spacings
Joseph Najnudel, Jim Pitman
Feller (1945) provided a coupling between the counts of cycles of various sizes in a uniform random permutation of and the spacings between successes in a sequence of ind…
The boundary of the orbital beta process
Theodoros Assiotis, Joseph Najnudel
The unitarily invariant probability measures on infinite Hermitian matrices have been classified by Pickrell, and by Olshanski and Vershik. This classification is equivalent to det…
Uniform point variance bounds in classical beta ensembles
Joseph Najnudel, Bálint Virág
In this paper, we give bounds on the variance of the number of points of the circular and the Gaussian ensemble in arcs of the unit circle or intervals of the real line. These…
The bead process for beta ensembles
Joseph Najnudel, Bálint Virág
The bead process introduced by Boutillier is a countable interlacing of the determinantal sine-kernel point processes. We construct the bead process for general sine beta processes…
On the circle, Gaussian Multiplicative Chaos and Beta Ensembles match exactly
Reda Chhaibi, Joseph Najnudel
We identify an equality between two objects arising from different contexts of mathematical physics: Kahane's Gaussian Multiplicative Chaos () on the circle, and the Circula…