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100   $a20110719d2011      uy             0
101 0 $aeng
135   $aurnn#---uu||u
181   $ctxt
182   $cc
183   $acr
200 10$aSymmetric Markov processes, time change, and boundary theory$b[electronic resource] /$fZhen-Qing Chen, Masatoshi Fukushima
205   $aCourse Book
210   $aPrinceton, N.J. $cPrinceton University Press$d2011
215   $a1 online resource (496 p.)
225 1 $aLondon Mathematical Society monographs ;$vv. 35
300   $aDescription based upon print version of record.
311 0 $a0-691-13605-X 
311 0 $a1-4008-4056-2 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tContents --$tNotation --$tPreface --$tChapter One. Symmetric Markovian Semigroups and Dirichlet Forms --$tChapter Two. Basic Properties and Examples of Dirichlet Forms --$tChapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms --$tChapter Four. Additive Functionals of Symmetric Markov Processes --$tChapter Five. Time Changes of Symmetric Markov Processes --$tChapter Six. Reflected Dirichlet Spaces --$tChapter Seven. Boundary Theory for Symmetric Markov Processes --$tAppendix A. Essentials of Markov Processes --$tAppendix B. Solutions To Exercises --$tNotes --$tBibliography --$tCatalogue Of Some Useful Theorems --$tIndex
330   $aThis book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The authors develop the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. Chen and Fukushima then address the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes. This volume is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.
410  0$aLondon Mathematical Society monographs ;$vv. 35.
606   $aMarkov processes
606   $aBoundary value problems
606   $aDirichlet problem
610   $aBeurling-Deny decomposition.
610   $aBeurling-Deny formula.
610   $aBrownian motions.
610   $aDirichlet forms.
610   $aDirichlet spaces.
610   $aDouglas integrals.
610   $aFeller measures.
610   $aHausdorff topological space.
610   $aMarkov processes.
610   $aMarkovian symmetric operators.
610   $aSilverstein extension.
610   $aadditive functional theory.
610   $aadditive functionals.
610   $aanalytic concepts.
610   $aanalytic potential theory.
610   $aboundary theory.
610   $acountable boundary.
610   $adecompositions.
610   $aenergy functional.
610   $aextended Dirichlet spaces.
610   $afine properties.
610   $aharmonic functions.
610   $aharmonicity.
610   $ahitting distributions.
610   $airreducibility.
610   $alateral condition.
610   $alocal properties.
610   $am-tight special Borel.
610   $amany-point extensions.
610   $aone-point extensions.
610   $apart processes.
610   $apath behavior.
610   $aperturbed Dirichlet forms.
610   $apositive continuous additive functionals.
610   $aprobabilistic derivation.
610   $aprobabilistic potential theory.
610   $aquasi properties.
610   $aquasi-homeomorphism.
610   $aquasi-regular Dirichlet forms.
610   $arecurrence.
610   $areflected Dirichlet spaces.
610   $areflecting Brownian motions.
610   $areflecting extensions.
610   $aregular Dirichlet forms.
610   $aregular recurrent Dirichlet forms.
610   $asmooth measures.
610   $asymmetric Hunt processes.
610   $asymmetric Markov processes.
610   $asymmetric Markovian semigroups.
610   $aterminal random variables.
610   $atime change theory.
610   $atime changes.
610   $atime-changed process.
610   $atransience.
610   $atransient regular Dirichlet forms.
615  0$aMarkov processes.
615  0$aBoundary value problems.
615  0$aDirichlet problem.
676   $a519.233
700   $aChen$b Zhen-Qing$0514801
701   $aFukushima$b Masatoshi$055765
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910789724903321
996   $aSymmetric Markov processes, time change, and boundary theory$9850816
997   $aUNINA