A universality theorem for ratios of random characteristic polynomials

Jonathan Breuer; Eugene Strahov

doi:10.1016/j.jat.2012.03.003

A universality theorem for ratios of random characteristic polynomials

Jonathan Breuer^*, Eugene Strahov

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	803-814
Number of pages	12
Journal	Journal of Approximation Theory
Volume	164
Issue number	6
DOIs	https://doi.org/10.1016/j.jat.2012.03.003
State	Published - Jun 2012

Bibliographical note

Funding 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 .

Keywords

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

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10.1016/j.jat.2012.03.003

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title = "A universality theorem for ratios of random characteristic polynomials",

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 = "Lubinsky's universality theorem, Orthogonal polynomial ensembles, Random characteristic polynomials, Universality limits",

author = "Jonathan Breuer and Eugene Strahov",

note = "Funding 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 .",

year = "2012",

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AU - Strahov, Eugene

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N2 - 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.

AB - 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.

KW - Lubinsky's universality theorem

KW - Orthogonal polynomial ensembles

KW - Random characteristic polynomials

KW - Universality limits

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JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 6

ER -

A universality theorem for ratios of random characteristic polynomials

Abstract

Bibliographical note

Keywords

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