English

A universality theorem for ratios of random characteristic polynomials

Mathematical Physics 2012-01-04 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1201.0473,
  title  = {A universality theorem for ratios of random characteristic polynomials},
  author = {Jonathan Breuer and Eugene Strahov},
  journal= {arXiv preprint arXiv:1201.0473},
  year   = {2012}
}