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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Orthogonal Polynomials and Symmetric Sextic Freud weights

## Orthogonal Polynomials and Symmetric Sextic Freud weightsAdd to your list(s) Download to your calendar using vCal - Peter Clarkson (University of Kent)
- Friday 21 October 2022, 16:00-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics 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). This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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