Analysis and Stochastics of Growth Processes and Interface Models
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Analysis and Stochastics of Growth Processes and Interface Models by Peter Morters
Book DescriptionThis book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical methods discussed in the book comprise large deviation theory, lace expansion, harmonic multi-scale techniques and homogenisation of partial differential equations. Models based on the physics of individual particles are discussed alongside models based on the continuum description of large collections of particles, and the mathematical theories are used to describe physical phenomena such as droplet formation, Bose-Einstein condensation, Anderson localization, Ostwald ripening, or the formation of the early universe. The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of these fields.
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Book DetailsISBN: 9780199239252
(240mm x 160mm x 23mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 24-Jul-2008
Country of Publication: United Kingdom
Books By Author Peter Morters
Brownian Motion, Hardback (March 2010)
Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field.
Trends in Stochastic Analysis, Paperback (April 2009)» View all books by Peter Morters
Collection of articles on stochastic analysis written by leading experts; provides overview of recent developments and new results.
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Author Biography - Peter Morters
Johannes Zimmer is currently a lecturer of applied mathematics at the University of Bath.Prior to that, he was head of an Emmy Noether group at the Max Planck Institute for Mathematics in the Sciences, Leipzig. He obtained his doctorate from the Technische universitat Munchen. Research interests include the analysis of lattice dynamical systems, and PDEs, continuum mechanics, and phase transitions.
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