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  3. Random Fragmentation and Coagulation Processes
  • Cited by 240
  • Jean Bertoin, Université de Paris VI (Pierre et Marie Curie)
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2006
Online ISBN:
9780511617768
DOI:
https://doi.org/10.1017/CBO9780511617768
Subjects:
Mathematics (general), Mathematics, Probability Theory and Stochastic Processes, Mathematical Modeling and Methods, Statistics and Probability
Series:
Cambridge Studies in Advanced Mathematics (102)
Information

Book description

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.

Reviews

'… an authoritative and important contribution to the research literature.'

Source: Zentralblatt MATH

' … 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'

Source: SIAM

'… clearly and concisely written … I recommend the book to any probabilist interested in theory and applications of fragmentation and coagulation processes, as well as in a clear explanation of the methodology used therein … for a PhD-course on the topic, it is a great source.'

Source: Niew Archief voor Wiskande

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