Universality of the double scaling limit in random matrix models

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 universality of the limits of the eigenvalue correlation kernel at such a critical point in a double scaling limit. The li...

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Veröffentlicht in:	Communications on pure and applied mathematics 2006-11, Vol.59 (11), p.1573-1603
Hauptverfasser:	Claeys, Tom, Kuijlaars, Arno B. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Matrix Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Partial differential equations Sciences and techniques of general use
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