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Product Code:  CRMP/31 
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eBook ISBN:  9781470439453 
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Softcover ISBN:  9780821828045 
eBook: ISBN:  9781470439453 
Product Code:  CRMP/31.B 
List Price:  $170.00 $129.00 
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Softcover ISBN:  9780821828045 
Product Code:  CRMP/31 
List Price:  $88.00 
MAA Member Price:  $79.20 
AMS Member Price:  $70.40 
eBook ISBN:  9781470439453 
Product Code:  CRMP/31.E 
List Price:  $82.00 
MAA Member Price:  $73.80 
AMS Member Price:  $65.60 
Softcover ISBN:  9780821828045 
eBook ISBN:  9781470439453 
Product Code:  CRMP/31.B 
List Price:  $170.00 $129.00 
MAA Member Price:  $153.00 $116.10 
AMS Member Price:  $136.00 $103.20 

Book DetailsCRM Proceedings & Lecture NotesVolume: 31; 2002; 218 ppMSC: Primary 34; 35; 58; 81; 30; 33
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 RiemannHilbert problem, underlie the analytic side of this striking development.
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 RiemannHilbert 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 RiemannHilbert 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 copublished with the Centre de Recherches Mathématiques.
ReadershipGraduate students, research mathematicians, and physicists.

Table of Contents

Isomonodromic Deformations

Inverse problems for linear differential equations with meromorphic coefficients

Virasoro generators and bilinear equations for isomonodromic tau functions

Lax pairs for Painlevé equations

Isomonodromic deformations and Hurwitz spaces

Classical solutions of Schlesinger equations and twistor theory

$W$geometry and isomonodromic deformations

Airy kernel and Painlevé II

Applications in Physics and Related Topics

Jacobi groups, Jacobi forms and their applications

Symmetry, the Chazy equation and Chazy hierarchies

Universal correlations of onedimensional electrons at low density

A quantum version of the inverse scattering transformation

Continued fractions and integrable systems

Hypergeometric functions related to Schur functions and integrable systems

Ising model scaling functions at short distance

The partition function of the sixvertex model as a Fredholm determinant


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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 RiemannHilbert problem, underlie the analytic side of this striking development.
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 RiemannHilbert 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 RiemannHilbert 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 copublished with the Centre de Recherches Mathématiques.
Graduate students, research mathematicians, and physicists.

Isomonodromic Deformations

Inverse problems for linear differential equations with meromorphic coefficients

Virasoro generators and bilinear equations for isomonodromic tau functions

Lax pairs for Painlevé equations

Isomonodromic deformations and Hurwitz spaces

Classical solutions of Schlesinger equations and twistor theory

$W$geometry and isomonodromic deformations

Airy kernel and Painlevé II

Applications in Physics and Related Topics

Jacobi groups, Jacobi forms and their applications

Symmetry, the Chazy equation and Chazy hierarchies

Universal correlations of onedimensional electrons at low density

A quantum version of the inverse scattering transformation

Continued fractions and integrable systems

Hypergeometric functions related to Schur functions and integrable systems

Ising model scaling functions at short distance

The partition function of the sixvertex model as a Fredholm determinant