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Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on... Læs mere
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The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random... Læs mere
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Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential... Læs mere
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The purpose of this publication is to present, in one book, various approaches to analytic problems that arise in... Læs mere
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These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis.
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Calculus of variations is a major branch of analysis, and partial differential... Læs mere
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Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory.
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Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.
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The purpose of this publication is to present, in one book, various approaches to analytic problems that arise in... Læs mere
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The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport... Læs mere
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This book explains the notion of Brakke’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.