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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On special function positive solutions of the firs
t discrete Painlevé hierarchy - Ana Loureiro (Uni
versity of Kent)
DTSTART;TZID=Europe/London:20221104T112000
DTEND;TZID=Europe/London:20221104T121000
UID:TALK185246AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/185246
DESCRIPTION:The recurrence coefficients in the three-term recu
rrence relation of a polynomial sequence orthogona
l with respect to a quartic or a sextic Freud weig
hts satisfy a forth order discrete equation which
is a member of the first discrete Painlevé\;
hierarchy. They also satisfy a coupled system of
second-order\, nonlinear differential equations. S
uch orthogonality weights also arise in the contex
t of Hermitian matrix models and random symmetric
matrix ensembles. In this talk I will report on pr
operties of such recurrence coefficients and expla
in how the study may inform on the study of recurr
ence coefficients associated with higher order Fre
ud weights. The emphasis will be on their asymptot
ic properties. \;\n \;\nCollaborators: Pet
er Clarkson (University of Kent) and Kerstin Jorda
an (University of South Africa)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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