88 citations · 390 across the 36 of their papers we have counts for
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math-ph2012★ 6 cited
Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel
Dries Geudens, Lun Zhang
In this paper we study two multicritical correlation kernels and prove that they converge to the Pearcey kernel in a certain double scaling limit. The first kernel appears in a mod…
math.CA2012★ 9 cited
Ladder operators and differential equations for multiple orthogonal polynomials
Galina Filipuk, Walter Van Assche, Lun Zhang
In this paper, we obtain the ladder operators and associated compatibility conditions for the type I and the type II multiple orthogonal polynomials. These ladder equations extend…
math.CA2012★ 4 cited
The generalized Krawtchouk polynomials and the fifth Painlevé equation
Lies Boelen, Galina Filipuk, Christophe Smet +2
We study the recurrence coefficients of the orthogonal polynomials with respect to a semi-classical extension of the Krawtchouk weight. We derive a coupled discrete system for thes…