Описание: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
Автор: Ludwig Monika Название: Asymptotic Geometric Analysis ISBN: 1461464056 ISBN-13(EAN): 9781461464051 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.
Автор: Kabanov Yuri, Pergamenshchikov Sergei Название: Two-Scale Stochastic Systems / Asymptotic Analysis and Control ISBN: 3540653325 ISBN-13(EAN): 9783540653325 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.
Автор: Elena V. Grigorieva; Sergey A. Kaschenko Название: Asymptotic Representation of Relaxation Oscillations in Lasers ISBN: 3319428594 ISBN-13(EAN): 9783319428598 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.
Автор: F. J. Flaherty Название: Asymptotic Behavior of Mass and Spacetime Geometry ISBN: 3540133518 ISBN-13(EAN): 9783540133513 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Название: Asymptotic analysis in general relativity ISBN: 1316649407 ISBN-13(EAN): 9781316649404 Издательство: Cambridge Academ Рейтинг: Цена: 13147.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume compiles notes from courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It provides an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.
This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena.
The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between
these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics.
This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app
roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Описание: A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name "relaxation oscillation". The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations.
Автор: Vladimir A. Smirnov Название: Applied Asymptotic Expansions in Momenta and Masses ISBN: 3642076122 ISBN-13(EAN): 9783642076121 Издательство: Springer Рейтинг: Цена: 28732.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses.
Автор: S.H. Patil; K.T. Tang Название: Asymptotic Methods in Quantum Mechanics ISBN: 3642631371 ISBN-13(EAN): 9783642631375 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Quantum mechanics and the Schrodinger equation are the basis for the de- scription of the properties of atoms, molecules, and nuclei. Here we present a description of the local properties of the wave functions of a collection of particles, in particular the asymptotic properties when one of the particles is far away from the others.
Автор: Monika Ludwig; Vitali D. Milman; Vladimir Pestov; Название: Asymptotic Geometric Analysis ISBN: 1489993312 ISBN-13(EAN): 9781489993311 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.
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