Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of Mathematics Studies) - Tapa blanda

Baik, J.

 
9780691127347: Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of Mathematics Studies)
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ISBN 10: 0691127344 ISBN 13: 9780691127347
Editorial: Princeton University Press, 2007

Sinopsis

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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Acerca del autor

J. Baik is Associate Professor of Mathematics at the University of Michigan. T. Kriecherbauer is Professor of Mathematics at Ruhr-Universitat 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Princeton University Press
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0691127344
ISBN 13 
9780691127347
Encuadernación
Tapa blanda
Número de páginas
180
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780691127330: Discrete Orthogonal Polynomials: Asymptotics and Applications (Annals of Mathematics Studies, 164)

Edición Destacada

ISBN 10:  0691127336 ISBN 13:  9780691127330
Editorial: Princeton University Press, 2007
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