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.
Bibliographical noteFunding Information:
The first author (J.B.) is supported in part by the US–Israel Binational Science Foundation (BSF) Grant No. 2010348 and the Israel Science foundation (ISF) Grant No. 1105/10 . The second author (E.S.) is supported in part by the US–Israel Binational Science Foundation (BSF) Grant No. 2006333 , and the Israel Science Foundation (ISF) Grant No. 1441/08 .
- Lubinsky's universality theorem
- Orthogonal polynomial ensembles
- Random characteristic polynomials
- Universality limits