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Geometry and Dynamics of Integrable Systems

is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic;

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Integrable Hamiltonian Systems

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious;

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Integrable Hamiltonian Systems

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious;

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New Developments In Algebraic Geometry, Integrable Systems And Mirror Symmetry (Rims, Kyoto, 2008)

In the last two decades, many important developments and interactions in algebraic geometry and integrable systems have arisen from ideas;

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Integrable Systems and Algebraic Geometry

geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the;

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Surveys On Geometry And Integrable Systems

representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject;

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Integrable Systems and Algebraic Geometry

geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the;

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Optimal Control & Geometry Systems

The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for;

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Geometry and Integrability

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially;

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Integrability, Quantization, and Geometry

Theories and Algebraic Geometry'', reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided;

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Lie Algebras, Geometry, and Toda-Type Systems

This book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many;

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A Comprehensive Introduction to Sub-Riemannian Geometry

Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive;

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Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and;

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Mathematical Sciences Research Institute Publications

The three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad;

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Mathematical Sciences Research Institute Publications

The three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad;

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Introduction to Classical Integrable Systems

method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The;

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Introduction to Classical Integrable Systems

method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The;

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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have;

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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have;

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Geometric Mechanics and Symmetry

dynamical systems. They succinctly cover an unparalleled range of topics from the basic concepts of symplectic and Poisson geometry, through;

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Chaos And Integrability In Nonlinear Dynamics

. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses;

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Combinatorial Aspect Of Integrable Systems

correspondence, fermionic formula related to Bethe ansatz, applications of crystal bases to soliton celluar automata, Yang-Baxter maps, and integrable;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Physics, Geometry and Topology

class in integrable systems, including many state models, two-dimensional conformal field theory, quantum field theory, and quantum gravity in 2;

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The Verdier Memorial Conference on Integrable Systems

based on Hamiltonian methods, illustrating their interplay with the methods of algebraic geometry, the study of Hamiltonian actions, and the;

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Rigid Body Dynamics

This monograph provides a complete and up-to-date examination of rigid body dynamics using a Lagrangian approach. All known integrable;

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