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Dirichlet Forms and Symmetric Markov Processes Masatoshi Fukushima

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.

Dirichlet Forms and Symmetric Markov Processes Summary

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 Poincare 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.

About Masatoshi Fukushima

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

Additional information

NPB9783110218084
9783110218084
3110218089
Dirichlet Forms and Symmetric Markov Processes by Masatoshi Fukushima
New
Hardback
De Gruyter
2010-12-13
497
N/A
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