Average characteristic polynomials for multiple orthogonal polynomial ensembles
نویسندگان
چکیده
منابع مشابه
Average characteristic polynomials for multiple orthogonal polynomial ensembles
Multiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polynomials. They are described by a Riemann-Hilbert matrix Y consisting of four blocks Y1,1, Y1,2, Y2,1 and Y2,2. In this paper, we show that detY1,1 (detY2,2) equals the average characteristic polynomial (average inverse characteristic polynomial, respectively) over the probabilistic ensemble that is associa...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2010
ISSN: 0021-9045
DOI: 10.1016/j.jat.2009.11.008