Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima

Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima

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Summary

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 Unavailable
ISBN 13 9783110218084
ISBN 10 3110218089
Title Dirichlet Forms and Symmetric Markov Processes
Author Masatoshi Fukushima
Series De Gruyter Studies In Mathematics
Condition Unavailable
Publisher De Gruyter
Year published 2010-12-13
Number of pages 497
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable