7 N ov 2 00 5 Double scaling limit for matrix models with non analytic potentials

Abstract

We prove the existence of the double scaling limit for unitary invariant ensembles of random matrices with non analytic potentials. The limiting reproducing kernel is expressed in terms of solutions of the Dirac system of differential equations with a potential defined by the Hastings-McLeod solution of the Painleve II equation. Our approach is based on the… (More)

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@inproceedings{Shcherbina20057NO, title={7 N ov 2 00 5 Double scaling limit for matrix models with non analytic potentials}, author={Mariya Shcherbina}, year={2005} }