82 citations · 566 across the 38 of their papers we have counts for
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math-ph2011
The Riemann-Hilbert approach to obtain critical asymptotics for Hamiltonian perturbations of hyperbolic and elliptic systems
Tom Claeys
The present paper gives an overview of the recent developments in the description of critical behavior for Hamiltonian perturbations of hyperbolic and elliptic systems of partial d…
math-ph2011
Numerical study of higher order analogues of the Tracy-Widom distribution
Tom Claeys, Sheehan Olver
We study a family of distributions that arise in critical unitary random matrix ensembles. They are expressed as Fredholm determinants and describe the limiting distribution of the…
math-ph2011★ 10 cited
Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation
Tom Claeys
We establish the existence of real pole-free solutions to all even members of the Painlevé I hierarchy. We also obtain asymptotics for those solutions and describe their relevance…