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Local Lyapunov Exponents, Wolfgang Siegert


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Автор: Wolfgang Siegert
Название:  Local Lyapunov Exponents
ISBN: 9783540859635
Издательство: Springer
Классификация:

ISBN-10: 3540859632
Обложка/Формат: Paperback
Страницы: 254
Вес: 0.41 кг.
Дата издания: 13.11.2008
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 155 x 15
Основная тема: Mathematics
Подзаголовок: Sublimiting Growth Rates of Linear Random Differential Equations
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Establishing a fresh concept of local Lyapunov exponents, the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.


Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319001000 ISBN-13(EAN): 9783319001005
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Автор: Nikolay Sidorov; Boris Loginov; A.V. Sinitsyn; M.V
Название: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
ISBN: 1402009410 ISBN-13(EAN): 9781402009419
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE`s in mechanics and mathematical physics. This book covers regular iterative methods in a neighborhood of branch points, and more.

Statistical Estimation for Truncated Exponential Families

Автор: Masafumi Akahira
Название: Statistical Estimation for Truncated Exponential Families
ISBN: 9811052956 ISBN-13(EAN): 9789811052958
Издательство: Springer
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Цена: 7685.00 р.
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Описание: In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter.

Lectures on Lyapunov Exponents

Автор: Viana
Название: Lectures on Lyapunov Exponents
ISBN: 1107081734 ISBN-13(EAN): 9781107081734
Издательство: Cambridge Academ
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Цена: 7126.00 р.
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Описание: The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.

Lyapunov Exponents of Linear  Cocycles

Автор: Pedro Duarte; Silvius Klein
Название: Lyapunov Exponents of Linear Cocycles
ISBN: 9462391238 ISBN-13(EAN): 9789462391239
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle.

Lyapunov Exponents

Автор: Ludwig Arnold; Volker Wihstutz
Название: Lyapunov Exponents
ISBN: 3540164588 ISBN-13(EAN): 9783540164586
Издательство: Springer
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Цена: 4884.00 р.
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Lyapunov Exponents

Автор: Ludwig Arnold; Hans Crauel; Jean-Pierre Eckmann
Название: Lyapunov Exponents
ISBN: 3540546626 ISBN-13(EAN): 9783540546627
Издательство: Springer
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Цена: 5583.00 р.
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Описание: Examines all significant recent progress made in the theory and applications of a key component of dynamical systems, known as the Lyapunov exponents. Emphasis is placed on shifts towards nonlinear and infinite-dimensional systems and observable engineering applications.

Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319033522 ISBN-13(EAN): 9783319033525
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems

Автор: V. Lakshmikantham; V.M. Matrosov; S. Sivasundaram
Название: Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems
ISBN: 0792311523 ISBN-13(EAN): 9780792311522
Издательство: Springer
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Цена: 10760.00 р.
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Описание: One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all."' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Exponential Functionals of Brownian Motion and Related Processes

Автор: Yor Marc
Название: Exponential Functionals of Brownian Motion and Related Processes
ISBN: 3540659439 ISBN-13(EAN): 9783540659433
Издательство: Springer
Цена: 9776.00 р.
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Описание: This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. These functionals play an important role in Mathematical Finance, as well as in (probabilistic) studies related to hyperbolic geometry, and also to random media. Throughout the volume, connections with more recent studies involving exponential functionals of LГ©vy processes are indicated. Some papers originally published in French are made available in English for the first time.

Harmonic Analysis on Exponential Solvable Lie Groups

Автор: Hidenori Fujiwara; Jean Ludwig
Название: Harmonic Analysis on Exponential Solvable Lie Groups
ISBN: 4431552871 ISBN-13(EAN): 9784431552871
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups.

Matrix-exponential distributions in applied probability

Автор: Bladt, Mogens Nielsen, Bo Friis
Название: Matrix-exponential distributions in applied probability
ISBN: 149397047X ISBN-13(EAN): 9781493970476
Издательство: Springer
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Цена: 12577.00 р.
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Описание:

This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas.

The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data.

Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.


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