Title	Asymptotics of polynomials orthogonal with respect to a logarithmic weight
Creator	Deift, Percy
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-03T08:46
Description	In this talk we show how to compute the asymptotic behavior of the recurrence coefficients for polynomials orthogonal with respect to a logarithmic weight w(x)dx = [log 2k/(1-x)] dx on (-1; 1), k > 1, and verify a conjecture of A. Magnus for these coefficients. We use Riemann{Hilbert/steepest-descent methods, but not in the standard way as there is no known parametrix for the Riemann{Hilbert problem in a neighborhood of the logarithmic singularity at x = 1. This is joint work with Oliver Conway.
Extent	50.0
Subject	Mathematics; Partial differential equations; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: New York University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376891
URI	http://hdl.handle.net/2429/68725
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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