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Peter Clarkson (University of Kent)
Friday 21 October 2022, 16:00-16:30
Orthogonal Polynomials and Symmetric Sextic Freud weights
- đ¤ Speaker: Peter Clarkson (University of Kent)
- đ Date & Time: Friday 21 October 2022, 16:00 - 16:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In this talk I will discuss orthogonal polynomials associated with symmetric sextic Freud weights. In particular I will describe properties of the recurrence coefficients in the three-term recurrence relation associated with these orthogonal polynomials. These recurrence coefficients satisfy a fourth-order discrete equation which is the second member of the first discrete Painleve hierarchy, also known as the string equation, and also satisfies a coupled system of second-order, nonlinear differential equations. The weight arises in the context of Hermitian matrix models and random symmetric matrix ensembles. Collaborators: Kerstin Jordaan (University of South Africa), Ana Loureiro (University of Kent).
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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