On the Christoffel-Darboux kernel for random Hermitian matrices with external source

Details On the Christoffel-Darboux kernel for random Hermitian matrices with external source On the Christoffel-Darboux kernel for random Hermitian matrices with external source

2008-09-23

arxiv.org/abs/0809.3970v1

Mathematics

Complex Variables

Scientific paper

Bleher and Kuijlaars, and Daems and Kuijlaars showed that the correlation
functions of the eigenvalues of a random matrix from unitary ensemble with
external source can be expressed in terms of the Christoffel-Darboux kernel for
multiple orthogonal polynomials. We obtain a representation of this
Christoffel-Darboux kernel in terms of the usual orthogonal polynomials.

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