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Random Fragmentation and Coagulation Processes


Bertoin, J (2006). Random Fragmentation and Coagulation Processes. Cambridge: Cambridge University Press.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Monograph
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:August 2006
Deposited On:18 Apr 2013 15:36
Last Modified:07 Dec 2017 20:56
Publisher:Cambridge University Press
Series Name:Cambridge Studies in Advanced Mathematics
Volume:102
Number of Pages:288
ISBN:978-0-521-86728-3
Free access at:PubMed ID. An embargo period may apply.
Publisher DOI:https://doi.org/10.1017/CBO9780511617768
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2253162

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