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OverviewThe theory of Dirichlet forms brings together methods and insights from the calculus of variations, stochastic analysis, partial differential and difference equations, potential theory, Riemannian geometry and more. This book features contributions from experts and provides authoritative accounts on developments in the field and on research perspectives. Topics covered include the following: stochastic analysis on configuration spaces, specifically a mathematically rigorous approach to the stochastic dynamics of Gibbs measures and infinite interacting particle systems; subelliptic PDE, homogenization, and fractals; geometric aspects of Dirichlet forms on metric spaces and function theory on such spaces; generalized harmonic maps as nonlinear differential equations with an emphasis on non-locally compact situations; and a stochastic approach based on Brownian motion to harmonic maps and their regularity. Various new connections between the topics are featured, and it is demonstrated that the theory of Dirichlet forms provides the proper framework for exploring these connections. Full Product DetailsAuthor: Jurgen Jost , Wilfrid S. Kendall , Umberto Mosco , Michael RocknerPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 8 Weight: 0.710kg ISBN: 9780821810613ISBN 10: 0821810618 Pages: 277 Publication Date: 30 August 1998 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsNonlinear Dirichlet forms by J. Jost From stochastic parallel transport to harmonic maps by W. S. Kendall Dirichlet forms and self-similarity by U. Mosco Stochastic analysis on configuration spaces: Basic ideas and recent results by M. Rockner The geometric aspect of Dirichlet forms by K.-T. Sturm.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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