517 citations · 1k across the 29 of their papers we have counts for
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math.PR2019★ 32 cited
Uniform convergence to the Airy line ensemble
Duncan Dauvergne, Mihai Nica, Bálint Virág
We show that classical integrable models of last passage percolation and the related nonintersecting random walks converge uniformly on compact sets to the Airy line ensemble. Our…
math.PR2019★ 6 cited
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…
math.PR2019★ 12 cited
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…