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Symmetric Markov processes, time change, and boundary theory /

This 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 symmetri...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chen, Zhen-Qing
Otros Autores: Fukushima, Masatoshi, 1935-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, ©2011.
Colección:London Mathematical Society monographs.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Symmetric Markov processes, time change, and boundary theory /  |c Zhen-Qing Chen, Masatoshi Fukushima. 
260 |a Princeton, N.J. :  |b Princeton University Press,  |c ©2011. 
300 |a 1 online resource (xv, 479 pages) 
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490 1 |a London Mathematical Society monographs 
504 |a Includes bibliographical references (pages 457-466) and index. 
520 |a This 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. 
588 0 |a Print version record. 
505 0 |a Cover; Title; Copyright; Contents; Notation; Preface; CHAPTER 1. SYMMETRIC MARKOVIAN SEMIGROUPS AND DIRICHLET FORMS; CHAPTER 2. BASIC PROPERTIES AND EXAMPLES OF DIRICHLET FORMS; CHAPTER 3. SYMMETRIC HUNT PROCESSES AND REGULAR DIRICHLET FORMS; CHAPTER 4. ADDITIVE FUNCTIONALS OF SYMMETRIC MARKOV PROCESSES; CHAPTER 5. TIME CHANGES OF SYMMETRIC MARKOV PROCESSES; CHAPTER 6. REFLECTED DIRICHLET SPACES; CHAPTER 7. BOUNDARY THEORY FOR SYMMETRIC MARKOV PROCESSES; APPENDIX A. ESSENTIALS OF MARKOV PROCESSES; APPENDIX B. SOLUTIONS TO EXERCISES; Notes; Bibliography; Catalogue of Some Useful Theorems. 
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650 0 |a Markov processes. 
650 0 |a Potential theory (Mathematics) 
650 0 |a Potential theory (Physics) 
650 6 |a Processus de Markov. 
650 6 |a Théorie du potentiel. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x Stochastic Processes.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Potential theory (Physics)  |2 fast 
650 7 |a Markov processes  |2 fast 
650 7 |a Potential theory (Mathematics)  |2 fast 
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776 0 8 |i Print version:  |t Symmetric Markov Processes, Time Change, and Boundary Theory.  |d Princeton Univ Pr 2011  |z 9780691136059  |w (OCoLC)724663149 
830 0 |a London Mathematical Society monographs. 
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