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A universality theorem for ratios of random characteristic polynomials

Published 2 Jan 2012 in math-ph and math.MP | (1201.0473v1)

Abstract: 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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