Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) - Brossura

Baik, J.

Brossura

ISBN 10: 0691127344 ISBN 13: 9780691127347

Casa editrice: Princeton University Press, 2007

Riassunto

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.

Su questo libro

Informazioni sull?autore

J. Baik is Associate Professor of Mathematics at the University of Michigan. T. Kriecherbauer is Professor of Mathematics at Ruhr-Universität Bochum in Bochum, Germany. K. T.-R. McLaughlin is Professor of Mathematics at the University of Arizona. P. D. Miller is Associate Professor of Mathematics at the University of Michigan.

Dettagli dell'edizione

• Editore: Princeton University Press
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0691127344
• ISBN 13: 9780691127347
• Rilegatura: Copertina flessibile
• Numero di pagine: 180
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile