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Title Discrete orthogonal polynomials : asymptotics and applications / J. Baik [and others].

Publication Info. Princeton : Princeton University Press, [2007]
©2007

Item Status

Description 1 online resource (vi, 170 pages) : illustrations.
text file
Series Annals of mathematics studies ; no. 164
Annals of mathematics studies ; no. 164.
Bibliography Includes bibliographical references (pages 163-166) and index.
Contents Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3.
Summary "This book describes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case." "J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin & P.D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis."--Jacket.
Access Use copy Restrictions unspecified MiAaHDL
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
System Details Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
Processing Action digitized 2011 HathiTrust Digital Library committed to preserve MiAaHDL
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Orthogonal polynomials -- Asymptotic theory.
Orthogonal polynomials -- Asymptotic theory.
Genre/Form Electronic books.
Added Author Baik, Jinho, 1973-
Other Form: Print version: Discrete orthogonal polynomials. Princeton : Princeton University Press, 2007 9780691127330 (DLC) 2006050587 (OCoLC)71006840
ISBN 9781400837137 (electronic book)
1400837138 (electronic book)
9780691127330
9780691127347
0691127336
0691127344