Correlation kernels for discrete symplectic and orthogonal ensembles

Alexei Borodin; Eugene Strahov

doi:10.1007/s00220-008-0629-8

Correlation kernels for discrete symplectic and orthogonal ensembles

Alexei Borodin^*, Eugene Strahov

^*Corresponding author for this work

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

In [49] H. Widom derived formulae expressing correlation functions of orthogonal and symplectic ensembles of random matrices in terms of orthogonal polynomials. We obtain similar results for discrete ensembles with rational discrete logarithmic derivative, and compute explicitly correlation kernels associated to the classical Meixner and Charlier orthogonal polynomials.

Original language	English
Pages (from-to)	933-977
Number of pages	45
Journal	Communications in Mathematical Physics
Volume	286
Issue number	3
DOIs	https://doi.org/10.1007/s00220-008-0629-8
State	Published - Mar 2009

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title = "Correlation kernels for discrete symplectic and orthogonal ensembles",

abstract = "In [49] H. Widom derived formulae expressing correlation functions of orthogonal and symplectic ensembles of random matrices in terms of orthogonal polynomials. We obtain similar results for discrete ensembles with rational discrete logarithmic derivative, and compute explicitly correlation kernels associated to the classical Meixner and Charlier orthogonal polynomials.",

author = "Alexei Borodin and Eugene Strahov",

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Correlation kernels for discrete symplectic and orthogonal ensembles

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