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  • Introduction To Stochastic Processes And Nonequilibrium Statistical Physics, An (Revised Edition)

    Series Libro 19 - Series On Advances In Statistical Mechanics
    This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium ... Leer más

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  • The Quantum Theory of Fields: Volume 3, Supersymmetry

    In this third volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory. This volume presents a self-contained, up-to-date and comprehensive introduction to supersymmetry, a highly active area of theoretical physics. The text introduces and explains a broad range of topics, including ... Leer más

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  • The Finite Volume Method in Computational Fluid Dynamics

    An Advanced Introduction with OpenFOAM® and Matlab

    Series series Engineering (R0)
    This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated ... Leer más

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  • Martingales in Banach Spaces

    de Gilles Pisier ...
    Series Libro 155 - Cambridge Studies in Advanced Mathematics
    This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has ... Leer más

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  • The Geometry of Physics

    An Introduction

    This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), ... Leer más

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  • Stochastic Processes, Finance And Control: A Festschrift In Honor Of Robert J Elliott

    Series Libro 1 - Advances In Statistics, Probability And Actuarial Science
    This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these ... Leer más

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  • Hilbert Space And Quantum Mechanics

    The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical ... Leer más

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  • Random Walks on Disordered Media and their Scaling Limits

    École d'Été de Probabilités de Saint-Flour XL - 2010

    Series series Mathematics and Statistics (R0)
    In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory ... Leer más

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  • Mathematics of Two-Dimensional Turbulence

    Series Libro 194 - Cambridge Tracts in Mathematics
    This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, ... Leer más

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  • Path Integrals For Stochastic Processes: An Introduction

    This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920's, corresponding to a sum over random trajectories, anticipating by two decades Feynman's famous work on the path integral representation of quantum mechanics. However, the true trigger for the ... Leer más

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  • Asymptotic Expansion of a Partition Function Related to the Sinh-model

    Series series Mathematics and Statistics (R0)
    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 ... Leer más

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  • Quantum Techniques In Stochastic Mechanics

    We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a ... Leer más

    $70.99 USD