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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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math-ph2005★ 3 cited

Multi-critical unitary random matrix ensembles and the general Painleve II equation

T. Claeys, A. B. J. Kuijlaars, M. Vanlessen

We study unitary random matrix ensembles of the form $Z_{n,N}^{-1} |\det M|^{2α} e^{-N \Tr V(M)}dM$, where and is such that the limiting mean eigenvalue density for $n…

math-ph2005★ 5 cited

Universality of the double scaling limit in random matrix models

Tom Claeys, Arno B. J. Kuijlaars

We study unitary random matrix ensembles in the critical case where the limiting mean eigenvalue density vanishes quadratically at an interior point of the support. We establish un…