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Isomonodromic Deformations and Applications in Physics
About this Title
John Harnad, University of Montreal, Montreal, QC, Canada and Alexander Its, Indiana University - Purdue University, Indianapolis, IN, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2002; Volume 31
ISBNs: 978-0-8218-2804-5 (print); 978-1-4704-3945-3 (online)
DOI: https://doi.org/10.1090/crmp/031
MathSciNet review: MR1885143
MSC: Primary 34-06; Secondary 32G34, 33-06, 34M50, 34M55, 37-06, 37K20
ReadershipTable of Contents
Front/Back Matter
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 one-dimensional 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 six-vertex model as a Fredholm determinant