A universality theorem for ratios of random characteristic polynomials

Details A universality theorem for ratios of random characteristic polynomials A universality theorem for ratios of random characteristic polynomials

2012-01-02

arxiv.org/abs/1201.0473v1

Physics

Mathematical Physics

Scientific paper

We consider asymptotics of ratios of random characteristic polynomials
associated with orthogonal polynomial ensembles. Under some natural conditions
on the measure in the definition of the orthogonal polynomial ensemble we
establish a universality limit for these ratios.

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