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Fine Structure of the Zeros of Orthogonal Polynomials: A Progress Report

Simon, Barry (2010) Fine Structure of the Zeros of Orthogonal Polynomials: A Progress Report. In: Recent Trends in Orthogonal Polynomials and Approximation Theory. Contemporary Mathematics . No.507. American Mathematical Society , Providence, RI, pp. 241-254. ISBN 978-0-8218-4803-6. https://resolver.caltech.edu/CaltechAUTHORS:20100715-092306403

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Abstract

We consider the asymptotics of zeros of OPRL and POPUC as n → ∞, focusing on the structure on a scale in x of order 1/n. We discuss three recent results (on Poisson behavior in the random case, clock on the a.c. case, and beta-distribution in between) and open questions and speculations.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://www.ams.org/bookstore-getitem/item=conm-507PublisherUNSPECIFIED
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:© 2010 American Mathematical Society. Supported in part by NSF grant DMS-0652919.
Funders:
Funding AgencyGrant Number
NSFDMS-0652919
Subject Keywords:Orthogonal polynomials; clock behavior; Poisson process
Series Name:Contemporary Mathematics
Issue or Number:507
Classification Code:2000 Mathematics Subject Classification: 26C10, 65H17, 05E35
Record Number:CaltechAUTHORS:20100715-092306403
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100715-092306403
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19066
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Aug 2010 21:39
Last Modified:03 Oct 2019 01:51

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