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.
Описание: A volume that is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. It includes research articles based on the talks presented at the workshop, including the results obtained thereafter.
Автор: N. J. Hitchin Название: Integrable Systems ISBN: 0199676771 ISBN-13(EAN): 9780199676774 Издательство: Oxford Academ Рейтинг: Цена: 7839.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
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: Babelon Название: Introduction to Classical Integrable Systems ISBN: 052182267X ISBN-13(EAN): 9780521822671 Издательство: Cambridge Academ Рейтинг: Цена: 26928.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A clear and pedagogical introduction to classical integrable systems and their applications. It synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. Each method is introduced and explained, before being applied to particular examples.
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