Random fragmentation and coagulation processes
著者
書誌事項
Random fragmentation and coagulation processes
（Cambridge studies in advanced mathematics, 102）
Cambridge University Press, 2006
- : hardback
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注記
Includes bibliographical references (p. 264-275) and index
内容説明・目次
内容説明
Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DNA fragmentation to formation of planets by accretion. This book, by the author of the acclaimed Levy Processes, is the first comprehensive theoretical account of mathematical models for situations where either phenomenon occurs randomly and repeatedly as time passes. This self-contained treatment develops the models in a way that makes recent developments in the field accessible. Each chapter ends with a comments section in which important aspects not discussed in the main part of the text (often because the discussion would have been too technical and/or lengthy) are addressed and precise references are given. Written for readers with a solid background in probability, its careful exposition allows graduate students, as well as working mathematicians, to approach the material with confidence.
目次
- Introduction
- 1. Self-similar fragmentation chains
- 2. Random partitions
- 3. Exchangeable fragmentations
- 4. Exchangeable coalescents
- 5. Asymptotic regimes in stochastic coalescence
- References
- List of symbols
- Index.
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