Titre :	Orthogonal polynomials and random matrices : a Riemann-Hilbert approach
Type de document :	texte imprimé
Auteurs :	Percy Deift
Mention d'édition :	Reprint of the 1998 original
Editeur :	Providence, R.I. : American Mathematical Society
Année de publication :	2000
Collection :	Courant Lecture Notes in Mathematics num. 03
Importance :	ix - 261 p.
ISBN/ISSN/EAN :	978-0-9658703-2-0
Langues :	Anglais
Catégories :	15-XX Linear and multilinear algebra; matrix theory:15A52 Random matrices 30-XX Functions of a complex variable :30EXX Miscellaneous topics of analysis in the complex domain:30E25 Boundary value problems 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C05 Orthogonal functions and polynomials, general theory 47-XX Operator theory:47AXX General theory of linear operators:47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 47-XX Operator theory:47BXX Special classes of linear operators:47B80 Random operators
Mots-clés :	equilibrium measures  random matrix theory  continuous fractions  orthogonal polynomials  matrix-valued function  jacobi matrices  riemann-hilbert problem
Index. décimale :	47C Monographie

Orthogonal polynomials and random matrices : a Riemann-Hilbert approach [texte imprimé] / Percy Deift  . -  Reprint of the 1998 original . - Providence, R.I. : American Mathematical Society, 2000 . - ix - 261 p. . - (Courant Lecture Notes in Mathematics; 03) .
ISBN : 978-0-9658703-2-0
Langues : Anglais

Catégories :	15-XX Linear and multilinear algebra; matrix theory:15A52 Random matrices 30-XX Functions of a complex variable :30EXX Miscellaneous topics of analysis in the complex domain:30E25 Boundary value problems 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C05 Orthogonal functions and polynomials, general theory 47-XX Operator theory:47AXX General theory of linear operators:47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 47-XX Operator theory:47BXX Special classes of linear operators:47B80 Random operators
Mots-clés :	equilibrium measures  random matrix theory  continuous fractions  orthogonal polynomials  matrix-valued function  jacobi matrices  riemann-hilbert problem
Index. décimale :	47C Monographie