Universality of the double scaling limit in random matrix models

Abstract

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 limiting kernels are constructed out of functions associated… (More)

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@inproceedings{Claeys2000UniversalityOT, title={Universality of the double scaling limit in random matrix models}, author={Tom Claeys}, year={2000} }