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Asymptotics of polynomials orthogonal with respect to a logarithmic weight Deift, Percy
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.
Item Metadata
| Title |
Asymptotics of polynomials orthogonal with respect to a logarithmic weight
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| 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
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: New York University
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| Series | |
| Date Available |
2019-03-13
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0376891
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International