82 citations · 566 across the 38 of their papers we have counts for
42 papers
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…
Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble
Tom Claeys, Dong Wang
We prove the edge and bulk universality of random Hermitian matrices with equi-spaced external source. One feature of our method is that we use neither a Christoffel-Darboux type f…
Determinantal point processes conditioned on randomly incomplete configurations
Tom Claeys, Gabriel Glesner
For a broad class of point processes, including determinantal point processes, we construct associated marked and conditional ensembles, which allow to study a random configuration…
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…