Dirichlet forms and symmetric Markov processes
By: Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
Contributors: Oshima, Yoichi; Takeda, Masayoshi
Edition: 2nd rev. and extended ed.
Series: De Gruyter studies in mathematics -- 19,
Publisher: De Gruyter
Published: 2011
Place of publication: Berlin; New York
Language: eng
Number of pages: 489
ISBN-13: 9783110218084
Subjects: Dirichlet forms; Markov processes
Description: and#65279;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.
Notes: Includes bibliographical references (p. [461]-484) and index.