82 citations · 566 across the 38 of their papers we have counts for
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math-ph2020★ 26 cited
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…
math-ph2020★ 5 cited
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.…
math-ph2020★ 1 cited
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…