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  • Attractors Under Discretisation

    Series series Mathematics and Statistics (R0)
    This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system ... Read more

    $49.99 USD

  • Applied Nonautonomous and Random Dynamical Systems

    Applied Dynamical Systems

    Series series Mathematics and Statistics (R0)
    This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently ... Read more

    $53.99 USD

  • Dissipative Lattice Dynamical Systems

    Series Book 22 - Interdisciplinary Mathematical Sciences
    There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is ... Read more

    $98.99 USD

  • Random Ordinary Differential Equations and Their Numerical Solution

    Series Book 85 - Probability Theory and Stochastic Modelling
    This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non ... Read more

    $134.99 USD

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  • Information Geometry

    Series series Mathematics and Statistics (R0)
    The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical ... Read more

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  • Differential Equations: An Introduction To Basic Concepts, Results And Applications (Third Edition)

    by Ioan I Vrabie ...
    This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it ... Read more

    $32.99 USD

  • Short-Memory Linear Processes and Econometric Applications

    This book serves as a comprehensive source of asymptotic results for econometric models with deterministic exogenous regressors. Such regressors include linear (more generally, piece-wise polynomial) trends, seasonally oscillating functions, and slowly varying functions including logarithmic trends, as well as some specifications of spatial matrices in the theory of spatial models. The book begins ... Read more

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  • Backward Stochastic Differential Equations

    From Linear to Fully Nonlinear Theory

    Series series Mathematics and Statistics (R0)
    This book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations ... Read more

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  • An Introduction to Benford's Law

    This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up-to-date theoretical results with overviews of the law’s colorful history, rapidly growing body of ... Read more

    $69.99 USD

  • Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

    Series series Mathematics and Statistics (R0)
    This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics ... Read more

    $107.99 USD

  • Hangzhou Lectures on Eigenfunctions of the Laplacian

    Series Book 188 - Annals of Mathematics Studies
    Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on ... Read more

    $72.79 USD