82 citations · 566 across the 38 of their papers we have counts for
4 papers · 1 filter
Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations
Mattia Cafasso, Tom Claeys, Giulio Ruzza
We study a family of unbounded solutions to the Korteweg-de Vries equation which can be constructed as log-derivatives of deformed Airy kernel Fredholm determinants, and which are…
Asymptotics for averages over classical orthogonal ensembles
Tom Claeys, Gabriel Glesner, Alexander Minakov +1
We study averages of multiplicative eigenvalue statistics in ensembles of orthogonal Haar distributed matrices, which can alternatively be written as Toeplitz+Hankel determinants.…
Global rigidity and exponential moments for soft and hard edge point processes
Christophe Charlier, Tom Claeys
We establish sharp global rigidity upper bounds for universal determinantal point processes describing edge eigenvalues of random matrices. For this, we first obtain a general resu…
Critical Behavior of Non-Intersecting Brownian Motions
Tom Claeys, Thorsten Neuschel, Martin Venker
We study non-intersecting Brownian motions corresponding to initial configurations which have a vanishing density in the large limit at an interior point of the support. It…