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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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10.1007/978-3-642-74167-8_13

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1432-0916

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On the Correlation Function of the Characteristic

Authors: Tatyana Shcherbina
Publish Date: 2011/08/27
Volume: 308, Issue: 1, Pages: 1-
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Abstract

We consider the asymptotic of the correlation functions of the characteristic polynomials of the hermitian Wigner matrices H n  = n −1/2 W n We show that for the correlation function of any even order the asymptotic coincides with this for the Gaussian Unitary Ensemble up to a factor depending only on the fourth moment of the common probability law of entries mathfrakJ W jk mathfrakR W jk ie that the higher moments do not contribute to the above limit

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
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  16. Phase Boundaries in Algebraic Conformal QFT
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