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100   $a20101027d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDirichlet forms and symmetric Markov processes$b[electronic resource] /$fby Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
205   $a2nd rev. and ext. ed.
210   $aBerlin ;$aNew York $cDe Gruyter$dc2010
215   $a1 online resource (500 p.)
225 1 $aDe Gruyter studies in mathematics,$x0179-0986 ;$v19
300   $aDescription based upon print version of record.
311   $a3-11-021808-9 
320   $aIncludes bibliographical references and index.
327   $apt. 1. Dirichlet forms -- pt. 2. Symmetric Markov processes.
330   $aThis book contains an introductory and comprehensive account of the theory of (symmetric) Dirichlet forms. Moreover this analytic theory is unified with the probabilistic potential theory based on symmetric Markov processes and developed further in conjunction with the stochastic analysis based on additive functional. Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revised the existing text, but also added sections on capacities and Sobolev type inequalities, irreducible recurrence and ergodicity, recurrence and Poincaré type inequalities, the Donsker-Varadhan type large deviation principle, as well as several new exercises with solutions. The book addresses to researchers and graduate students who wish to comprehend the area of Dirichlet forms and symmetric Markov processes. 
410  0$aDe Gruyter studies in mathematics ;$v19.
606   $aMarkov processes
606   $aDirichlet forms
610   $aDirichlet Forms.
610   $aMarkov Processes.
610   $aProbability Theory.
610   $aSemigroups.
610   $aStochastic Processes.
615  0$aMarkov processes.
615  0$aDirichlet forms.
676   $a519.2/33
686   $aNQ 6000$2rvk
700   $aFukushima$b Masatoshi$f1935-$055765
701   $aOshima$b Yoichi$0736389
701   $aTakeda$b Masayoshi$0736390
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910789995003321
996   $aDirichlet forms and symmetric Markov processes$91455508
997   $aUNINA