Symmetric Markov processes, time change, and boundary theory:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
©2011
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| Series: | London Mathematical Society monographs
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | 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 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 |
| Physical Description: | 1 Online-Ressource (xv, 479 pages) |
| ISBN: | 069113605X 1400840562 9780691136059 9781400840564 |
Staff View
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| id | DE-604.BV043067240 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:26Z |
| institution | BVB |
| isbn | 069113605X 1400840562 9780691136059 9781400840564 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028491432 |
| oclc_num | 758507199 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xv, 479 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Princeton University Press |
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| series2 | London Mathematical Society monographs |
| spelling | Chen, Zhen-Qing Verfasser aut Symmetric Markov processes, time change, and boundary theory Zhen-Qing Chen, Masatoshi Fukushima Princeton, N.J. Princeton University Press ©2011 1 Online-Ressource (xv, 479 pages) txt rdacontent c rdamedia cr rdacarrier 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 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 Mathematics Potential theory Markov processes Dirichlet forms MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Markov processes fast Potential theory (Mathematics) fast Mathematik Potential theory (Mathematics) Fukushima, Masatoshi Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=396359 Aggregator Volltext |
| spellingShingle | Chen, Zhen-Qing Symmetric Markov processes, time change, and boundary theory Mathematics Potential theory Markov processes Dirichlet forms MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Markov processes fast Potential theory (Mathematics) fast Mathematik Potential theory (Mathematics) |
| 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 | Mathematics Potential theory Markov processes Dirichlet forms MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Probability & Statistics / Stochastic Processes bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Markov processes fast Potential theory (Mathematics) fast Mathematik Potential theory (Mathematics) |
| topic_facet | Mathematics Potential theory Markov processes Dirichlet forms MATHEMATICS / Essays MATHEMATICS / Pre-Calculus MATHEMATICS / Reference MATHEMATICS / Probability & Statistics / Stochastic Processes MATHEMATICS / Probability & Statistics / General Potential theory (Mathematics) Mathematik |
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| work_keys_str_mv | AT chenzhenqing symmetricmarkovprocessestimechangeandboundarytheory AT fukushimamasatoshi symmetricmarkovprocessestimechangeandboundarytheory |