Описание: This volume, based on the Fall 2010 MSRI program, includes review articles, research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles, and other core aspects of random matrix theory such as integrability and free probability theory.
Автор: Yuri Fedorov; Valerij Vasilievich Kozlov Название: A Memoir on Integrable Systems ISBN: 3540590005 ISBN-13(EAN): 9783540590002 Издательство: Springer Рейтинг: Цена: 11872.00 р. Наличие на складе: Поставка под заказ.
Описание: This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure.
Автор: Bolsinov Название: Geometry and Dynamics of Integrable Systems ISBN: 3319335022 ISBN-13(EAN): 9783319335025 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matem?tica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.
Автор: Ron Donagi; Mauro Francaviglia; Silvio Greco; Bori Название: Integrable Systems and Quantum Groups ISBN: 3540605428 ISBN-13(EAN): 9783540605423 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this CIME session was to review the state of the art in the development of the theory of integrable systems and their relations with quantum groups. The papers in this volume contain both a survey of problems and a number of original contributions to the subject.
Автор: A.S. Fokas; I.M. Gelfand Название: Algebraic Aspects of Integrable Systems ISBN: 1461275350 ISBN-13(EAN): 9781461275350 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis- covery that integrability is closely related to the existence of bi-Hamiltonian structures 2], 3]. These structures were discovered independently, and al- most simultaneously, by Magri 4] (see also 5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc- tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.
Автор: Kenji Iohara; Sophie Morier-Genoud; Bertrand R?my Название: Symmetries, Integrable Systems and Representations ISBN: 1447148622 ISBN-13(EAN): 9781447148623 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universit Claude Bernard Lyon 1, France in December 13th to 16th, 2011.
Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions.
Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.
Автор: R. Conte; N. Boccara Название: Partially Integrable Evolution Equations in Physics ISBN: 9401067546 ISBN-13(EAN): 9789401067546 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute on Partially Integrable Nonlinear Evolution Equations and Their Physical Applications, Les Houches, France, March 21-30, 1989
Автор: Alberto Ibort; M.A. Rodr?guez Название: Integrable Systems, Quantum Groups, and Quantum Field Theories ISBN: 9401048746 ISBN-13(EAN): 9789401048743 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute and XXIII GIFT International Seminar on `Recent Problems in Mathematical Physics`, Salamanca, Spain, June 15-27, 1992
Автор: B.G. Konopelchenko Название: Introduction to Multidimensional Integrable Equations ISBN: 0306442205 ISBN-13(EAN): 9780306442209 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis- covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-difference equations. The inverse scattering trans- form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations.
Автор: L.V. Bogdanov Название: Analytic-Bilinear Approach to Integrable Hierarchies ISBN: 0792359194 ISBN-13(EAN): 9780792359197 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents the analytic-bilinear approach to integrable hierarchies, which gives a consistent and technically simple description of integrable hierarchies. This book shows a different way to understand rather complicated structures, using mostly standard complex analysis.
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