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Details
| Document Type: | Book |
|---|---|
| All Authors / Contributors: |
Zenghu Li |
| ISBN: | 9783642150036 3642150039 |
| OCLC Number: | 662409508 |
| Description: | xi, 350 p. ; 24 cm. |
| Contents: | Preface.- 1. Random Measures on Metric Spaces.- 2. Measure-valued Branching Processes.- 3. One-dimensional Branching Processes.- 4. Branching Particle Systems.- 5. Basic Regularities of Superprocesses.- 6. Constructions by Transformations.- 7. Martingale Problems of Superprocesses.- 8. Entrance Laws and Excursion Laws.- 9. Structures of Independent Immigration.- 10. State-dependent Immigration Structures.- 11. Generalized Ornstein-Uhlenbeck Processes.- 12. Small Branching Fluctuation Limits.- 13. Appendix: Markov Processes.- Bibliography.- Index. |
| Series Title: | Probability and its applications (Springer-Verlag) |
| Responsibility: | Zenghu Li. |
| More information: |
Reviews
Publisher Synopsis
From the reviews: "The present book appears to be the first monograph in textbook format that provides a rigorous treatment of general theory for a wide class of measure-valued processes. ... A selection of good examples throughout the book helps clarify the results. ... This is a well-written, concise and dedicated book. It will serve excellently as a platform and reference for the next phase of development of superprocesses and measure-valued branching processes." (Ingemar Kaj, Mathematical Reviews, Issue 2012 c) "The present book is written for the purpose of providing a compact and rigorous basic theory of measured-valued branching processes and immigration processes. ... this book is well organized, the presentation is very systematic and sufficiently simple, and the key points are easy to understand. ... It is recommendable for graduate students and researchers working in the field of measure-valued processes and their related topics, including stochastic processes and probability theory." (Isamu Doku, Zentralblatt MATH, Vol. 1235, 2012) Read more...