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...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
©2011.
|
| Schriftenreihe: | London Mathematical Society monographs.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xv, 479 pages) |
| Bibliographie: | Includes bibliographical references (pages 457-466) and index. |
| ISBN: | 9781400840564 1400840562 |
Internformat
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| contents | 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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| series | London Mathematical Society monographs. |
| series2 | London Mathematical Society monographs |
| spelling | Chen, Zhen-Qing. https://id.oclc.org/worldcat/entity/E39PCjJg7MwDVT9p6fcJYqqmV3 http://id.loc.gov/authorities/names/no2011180603 Symmetric Markov processes, time change, and boundary theory / Zhen-Qing Chen, Masatoshi Fukushima. Princeton, N.J. : Princeton University Press, ©2011. 1 online resource (xv, 479 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file London Mathematical Society monographs Includes bibliographical references (pages 457-466) and index. 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. Print version record. 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. Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Processus de Markov. Théorie du potentiel. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Potential theory (Physics) fast Markov processes fast Potential theory (Mathematics) fast Fukushima, Masatoshi, 1935- https://id.oclc.org/worldcat/entity/E39PCjDHdC4byKxx48XVkPg64y http://id.loc.gov/authorities/names/n79148442 Print version: Symmetric Markov Processes, Time Change, and Boundary Theory. Princeton Univ Pr 2011 9780691136059 (OCoLC)724663149 London Mathematical Society monographs. http://id.loc.gov/authorities/names/n86741199 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=396359 Volltext |
| spellingShingle | Chen, Zhen-Qing Symmetric Markov processes, time change, and boundary theory / London Mathematical Society monographs. 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. Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Processus de Markov. Théorie du potentiel. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Potential theory (Physics) fast Markov processes fast Potential theory (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85081369 http://id.loc.gov/authorities/subjects/sh85105671 http://id.loc.gov/authorities/subjects/sh89005116 |
| title | Symmetric Markov processes, time change, and boundary theory / |
| title_auth | Symmetric Markov processes, time change, and boundary theory / |
| title_exact_search | Symmetric Markov processes, time change, and boundary theory / |
| title_full | Symmetric Markov processes, time change, and boundary theory / Zhen-Qing Chen, Masatoshi Fukushima. |
| title_fullStr | Symmetric Markov processes, time change, and boundary theory / Zhen-Qing Chen, Masatoshi Fukushima. |
| title_full_unstemmed | Symmetric Markov processes, time change, and boundary theory / Zhen-Qing Chen, Masatoshi Fukushima. |
| title_short | Symmetric Markov processes, time change, and boundary theory / |
| title_sort | symmetric markov processes time change and boundary theory |
| topic | Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Processus de Markov. Théorie du potentiel. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Potential theory (Physics) fast Markov processes fast Potential theory (Mathematics) fast |
| topic_facet | Markov processes. Potential theory (Mathematics) Potential theory (Physics) Processus de Markov. Théorie du potentiel. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. MATHEMATICS Probability & Statistics Stochastic Processes. MATHEMATICS Probability & Statistics General. Markov processes |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=396359 |
| work_keys_str_mv | AT chenzhenqing symmetricmarkovprocessestimechangeandboundarytheory AT fukushimamasatoshi symmetricmarkovprocessestimechangeandboundarytheory |