A universality theorem for ratios of random characteristic polynomials

作者：Breuer Jonathan^*; Strahov Eugene

来源：Journal of Approximation Theory, 2012, 164(6): 803-814.

DOI：10.1016/j.jat.2012.03.003

• Orthogonal polynomial ensembles
• Random characteristic polynomials
• Universality limits
• Lubinsky's universality theorem

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.

• 出版日期2012-6