81 citations · 93 across the 4 of their papers we have counts for
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Higher order analogues of the Tracy-Widom distribution and the Painleve II hierarchy
T. Claeys, A. Its, I. Krasovsky
We study Fredholm determinants related to a family of kernels which describe the edge eigenvalue behavior in unitary random matrix models with critical edge points. The kernels are…
Painleve II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small dispersion limit
T. Claeys, T. Grava
In the small dispersion limit, solutions to the Korteweg-de Vries equation develop an interval of fast oscillations after a certain time. We obtain a universal asymptotic expansion…
The birth of a cut in unitary random matrix ensembles
Tom Claeys
We study unitary random matrix ensembles in the critical regime where a new cut arises away from the original spectrum. We perform a double scaling limit where the size of the matr…
Universality of a double scaling limit near singular edge points in random matrix models
T. Claeys, M. Vanlessen
We consider unitary random matrix ensembles Z_{n,s,t}^{-1}e^{-n tr V_{s,t}(M)}dM on the space of Hermitian n x n matrices M, where the confining potential V_{s,t} is such that the…