Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima

Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima

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Résumé

Offers a reference for the theory of Dirichlet forms. This book is suitable for researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.

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Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima

This book contains an introductory and comprehensive account of the theory of (symmetric) Dirichlet forms. Moreover this analytic theory is unified with the probabilistic potential theory based on symmetric Markov processes and developed further in conjunction with the stochastic analysis based on additive functional. Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added sections on capacities and Sobolev type inequalities, irreducible recurrence and ergodicity, recurrence and Poincaré type inequalities, the Donsker-Varadhan type large deviation principle, as well as several new exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes.

Masatoshi Fukushima, Osaka University, Japan; Yoichi Oshima, Kumamoto University, Japan; Masayoshi Takeda, Tohoku University, Japan.

SKU Non disponible
ISBN 13 9783110218084
ISBN 10 3110218089
Titre Dirichlet Forms and Symmetric Markov Processes
Auteur Masatoshi Fukushima
Série De Gruyter Studies In Mathematics
État Non disponible
Éditeur De Gruyter
Année de publication 2010-12-13
Nombre de pages 497
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible