| Description |
1 online resource (vi, 170 pages) : illustrations |
| Series |
Annals of mathematics studies ; no. 164 |
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Annals of mathematics studies ; no. 164
|
| 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 |
| Bibliography |
Includes bibliographical references (pages 163-166) and index |
| Notes |
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 |
|
In English |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Orthogonal polynomials -- Asymptotic theory.
|
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MATHEMATICS -- Calculus.
|
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MATHEMATICS -- Mathematical Analysis.
|
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MATHEMATICS -- Discrete Mathematics.
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Orthogonal polynomials -- Asymptotic theory
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Orthogonale Polynome
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Asymptotik
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Orthogonal polynomials -- Asymptotic theory.
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Asymptotes.
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| Form |
Electronic book
|
| Author |
Baik, Jinho, 1973-
|
| LC no. |
2006050587 |
| ISBN |
9781400837137 |
|
1400837138 |
|
1299224121 |
|
9781299224124 |
|
