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20052023
most citedUniversality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

82 citations · 566 across the 38 of their papers we have counts for

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Showing 2017Show all

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math.PR2017

Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices

Tom Claeys, Thorsten Neuschel, Martin Venker

We explore the boundaries of sine kernel universality for the eigenvalues of Gaussian perturbations of large deterministic Hermitian matrices. Equivalently, we study for determinis…

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…