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portada Discrete Orthogonal Polynomials: Asymptotics and Applications (Annals of Mathematics Studies)
Type
Physical Book
Publisher
Author
Year
2007
Language
English
Pages
170
Format
Paperback
Weight
1
ISBN
0691127344
ISBN13
9780691127347
Categories

Discrete Orthogonal Polynomials: Asymptotics and Applications (Annals of Mathematics Studies)

J. Baik; T. Kriecherbauer; K. T. -R Mclaughlin (Author) · Princeton University Press · Paperback

Discrete Orthogonal Polynomials: Asymptotics and Applications (Annals of Mathematics Studies) - J. Baik; T. Kriecherbauer; K. T. -R Mclaughlin

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Synopsis "Discrete Orthogonal Polynomials: Asymptotics and Applications (Annals of Mathematics Studies) "

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.

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