On the proof of universality for orthogonal and symplectic ensembles in random matrix theory
Mathematical Physics
2007-05-23 v1 Classical Analysis and ODEs
math.MP
Abstract
We give a streamlined proof of a quantitative version of a result from [DG1] which is crucial for the proof of universality in the bulk [DG1] and also at the edge [DG2] for orthogonal and symplectic ensembles of random matrices. As a byproduct, this result gives asymptotic information on a certain ratio of the beta=1,2,4 partition functions for log gases.
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Cite
@article{arxiv.math-ph/0610063,
title = {On the proof of universality for orthogonal and symplectic ensembles in random matrix theory},
author = {Ovidiu Costin and Percy Deift and Dimitri Gioev},
journal= {arXiv preprint arXiv:math-ph/0610063},
year = {2007}
}
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9 pages