03400nam 2200781 a 450 991078999500332120200520144314.01-283-16483-397866131648343-11-021809-710.1515/9783110218091(CKB)2670000000088679(EBL)689627(OCoLC)723944037(SSID)ssj0000530907(PQKBManifestationID)11300505(PQKBTitleCode)TC0000530907(PQKBWorkID)10569333(PQKB)11161206(MiAaPQ)EBC689627(WaSeSS)Ind00010170(DE-B1597)36532(OCoLC)732957448(OCoLC)979626083(DE-B1597)9783110218091(Au-PeEL)EBL689627(CaPaEBR)ebr10468307(CaONFJC)MIL316483(PPN)175503206(EXLCZ)99267000000008867920101027d2010 uy 0engur|n|---|||||txtccrDirichlet forms and symmetric Markov processes[electronic resource] /by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda2nd rev. and ext. ed.Berlin ;New York De Gruyterc20101 online resource (500 p.)De Gruyter studies in mathematics,0179-0986 ;19Description based upon print version of record.3-11-021808-9 Includes bibliographical references and index.pt. 1. Dirichlet forms -- pt. 2. Symmetric Markov processes.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. De Gruyter studies in mathematics ;19.Markov processesDirichlet formsDirichlet Forms.Markov Processes.Probability Theory.Semigroups.Stochastic Processes.Markov processes.Dirichlet forms.519.2/33NQ 6000rvkFukushima Masatoshi1935-55765Oshima Yoichi736389Takeda Masayoshi736390MiAaPQMiAaPQMiAaPQBOOK9910789995003321Dirichlet forms and symmetric Markov processes1455508UNINA