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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 Lévy 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.Read more
- Author is the world-leading expert on the field and a great expositor
- The first book on an important class of stochastic models
- Wide-ranging areas of application - computer science, physics, geophysics, biology and more
Reviews & endorsements
"It is very clearly written, as well as being beautifully produced...I am of the firm view that the book will succeed in making recent advances in random fragmentation and coagulation processes accessible to its intended readership. It is elegant and authoritative."
G.A. Young, Imperial College of Science, Technology and Medicine ISI Short Book ReviewsSee more reviews
"...this gem of a monograph, written with a quintessentially French style and clarity, provides a self-contained account of a recently emerged topic that will be seen as a cornerstone for future theoretical developments. ...it succeeds wonderfully as an authoritative account of the setup and the key results on fragmentation and coalescence."
David Aldous, University of California- Berkeley
"Overall the exposition is very clear and mostly self-contained... an excellent piece of "concrete availability." I highly recommend the book to experts and those interested in modern trends in stochastic processes and their applications."
Alexander Gnedin, Utrecht University for the Journal of the American Statistician
"In general, the book would be very useful as an up-to-date source for an advanced graduate course on this interesting topic..."I appreciated the self-sufficient mathematical background, which is rigorously presented."
Shay Gueron, Biometrics
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- Date Published: August 2006
- format: Hardback
- isbn: 9780521867283
- length: 290 pages
- dimensions: 236 x 156 x 20 mm
- weight: 0.6kg
- availability: Available
Table of Contents
1. Self-similar fragmentation chains
2. Random partitions
3. Exchangeable fragmentations
4. Exchangeable coalescents
5. Asymptotic regimes in stochastic coalescence
List of symbols
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