Known to the general mathematic community as the inverse scattering transform method or soliton theory, the area covered in this volume is the role that isomonodromic deformations play in the theory of integrable systems and their applications in physics. Based on lectures given at the May 2000 conference, each of the 15 papers presented by Harnad (mathematics, U. of Montreal) and Its (mathematical sciences, Indiana U. -Purdue U. Indianapolis) deal with theory and application to greater or lesser extents. Topics include classical solutions of Schlesinger equations and twistor theory; Jacobi groups, Jacobi forms, and their transformations; symmetry, the Chazy equation, and Chazy hierarchies; universal correlations of one-dimensional electron s and low density; hypergeometric functions related to Schur functions and integrable systems; and the partition function of the six-vertex model as a Fredholm determinant. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Paperback. Zustand: New. 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 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 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. Bestandsnummer des Verkäufers LU-9780821828045
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Zustand: New. Based on lectures given by leading experts at the CRM workshop (Montreal, Canada), this title includes both survey articles and more detailed expositions relating to the theory of isomonodromic deformations, the Riemann-Hilbert problem, and modern applications. Series: CRM Proceedings & Lecture Notes. Num Pages: 218 pages. BIC Classification: PBKD; PBKJ; PBPD; PBW; PHQ. Category: (P) Professional & Vocational. Dimension: 180. Weight in Grams: 417. . 2002. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821828045
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Paperback. Zustand: New. 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 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 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. Bestandsnummer des Verkäufers LU-9780821828045
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Zustand: New. Based on lectures given by leading experts at the CRM workshop (Montreal, Canada), this title includes both survey articles and more detailed expositions relating to the theory of isomonodromic deformations, the Riemann-Hilbert problem, and modern applications. Series: CRM Proceedings & Lecture Notes. Num Pages: 218 pages. BIC Classification: PBKD; PBKJ; PBPD; PBW; PHQ. Category: (P) Professional & Vocational. Dimension: 180. Weight in Grams: 417. . 2002. Paperback. . . . . Bestandsnummer des Verkäufers V9780821828045
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