Antoine Doeraene

most citedGaussian perturbations of hard edge random matrix ensembles

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2017

The generating function for the Airy point process and a system of coupled Painlevé II equations

Tom Claeys, Antoine Doeraene

For a wide class of Hermitian random matrices, the limit distribution of the eigenvalues close to the largest one is governed by the Airy point process. In such ensembles, the limi…

math-ph2017

The generating function for the Bessel point process and a system of coupled Painlevé V equations

Christophe Charlier, Antoine Doeraene

We study the joint probability generating function for $k$ occupancy numbers on disjoint intervals in the Bessel point process. This generating function can be expressed as a Fredh…

math-ph2016★ 4 cited

Gaussian perturbations of hard edge random matrix ensembles

Tom Claeys, Antoine Doeraene

We study the eigenvalue correlations of random Hermitian $n \times n$ matrices of the form $S = M + ε H$ , where $H$ is a GUE matrix, $ε > 0$ , and $M$ is a positive-definite Hermitian rando…