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SUMMARY:Orthogonal Polynomials and Symmetric Sextic Freud weights - Peter 
 Clarkson (University of Kent)
DTSTART:20221021T150000Z
DTEND:20221021T153000Z
UID:TALK182621@talks.cam.ac.uk
DESCRIPTION:In this talk I will discuss orthogonal polynomials associated 
 with symmetric sextic Freud weights. In particular I will describe propert
 ies of the recurrence coefficients in the three-term recurrence relation a
 ssociated with these orthogonal polynomials. These recurrence coefficients
  satisfy a fourth-order discrete equation which is the second member of th
 e first discrete Painleve hierarchy\, also known as the string equation\, 
 and also satisfies a coupled system of second-order\, nonlinear differenti
 al equations. The weight arises in the context of Hermitian matrix models 
 and random symmetric matrix ensembles.\n&nbsp\;\nCollaborators: Kerstin Jo
 rdaan (University of South Africa)\, Ana Loureiro (University of Kent).
LOCATION:Seminar Room 1\, Newton Institute
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