82 citations · 566 across the 38 of their papers we have counts for
35 papers · 1 filter
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
Tom Claeys, Gabriel Glesner, Giulio Ruzza +1
We study Jánossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Kor…
Weak and strong confinement in the Freud random matrix ensemble and gap probabilities
Tom Claeys, Igor Krasovsky, Oleksandr Minakov
The Freud ensemble of random matrices is the unitary invariant ensemble corresponding to the weight , , on the real line. We consider the local behaviour of ei…
Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic Matrices
Tom Claeys, Johannes Forkel, Jonathan P. Keating
Using asymptotics of Toeplitz+Hankel determinants, we establish formulae for the asymptotics of the moments of the moments of the characteristic polynomials of random orthogonal an…
Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ
Christophe Charlier, Tom Claeys, Giulio Ruzza
We obtain uniform asymptotics for deformed Airy kernel determinants, which arise in models of finite temperature free fermions and which characterize the narrow wedge solution of t…
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.…