CRM Proceedings & Lecture Notes
Volume: 31; 2002; 218 pp; Softcover
MSC: Primary 34; 35; 58; 81; 30; 33;
Print ISBN: 978-0-8218-2804-5
Product Code: CRMP/31
List Price: $78.00
Individual Member Price: $62.40
Isomonodromic Deformations and Applications in PhysicsShare this page
Edited by John Harnad; Alexander Its
A co-publication of the AMS and Centre de Recherches Mathématiques
The area of inverse scattering transform method or soliton theory has evolved
over the past two decades in a vast variety of exciting new algebraic and
analytic directions and has found numerous new applications. Methods and
applications range from quantum group theory and exactly solvable statistical
models to random matrices, random permutations, and number theory. The theory
of isomonodromic deformations of systems of differential equations with
rational coefficents, and most notably, the related apparatus of the
Riemann-Hilbert problem, underlie the analytic side of this striking
The contributions in this volume are based on lectures given by leading experts at the CRM workshop (Montreal, Canada). Included are both survey articles and more detailed expositions relating to the theory of isomonodromic deformations, the Riemann-Hilbert problem, and modern applications.
The first part of the book represents the mathematical aspects of isomonodromic deformations; the second part deals mostly with the various appearances of isomonodromic deformations and Riemann-Hilbert methods in the theory of exactly solvable quantum field theory and statistical mechanical models, and related issues. The book elucidates for the first time in the current literature the important role that isomonodromic deformations play in the theory of integrable systems and their applications to physics.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
Isomonodromic Deformations and Applications in Physics
Graduate students, research mathematicians, and physicists.