Large Deviations and Metastability
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- Enzo Olivieri, Università degli Studi di Roma 'Tor Vergata'
- Maria Eulália Vares, Centro Brasileiro de Pesquisas Fisicas, Brasil
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This self-contained account of the main results in large deviation theory includes recent developments and emphasizes the Freidlin-Wentzell results on small random perturbations. Metastability is described on physical grounds, followed by the development of more exacting approaches to its description. The first part of the book then develops such pertinent tools as the theory of large deviations which is used to provide a physically relevant dynamical description of metastability. Written for graduate students, this book affords an excellent route into contemporary research as well.Read more
- Concrete applications of large deviation theory
- First treatment of metastability in book form
- Self-contained and accessible to graduate students, whilst containing many recent developments
Reviews & endorsements
"This impressive monograph provides a quite complete survey of the topic of metastability and will certainly be a very useful reference for all research activity in this field." ISI Short Book ReviewsSee more reviews
"This book provides an extensive and very complete account of the state of the art in the study of metastable behavior of stochastic evolution systems." Mathematical Reviews, Giambattista Giacomin
"This book is a serious and scholarly work dealing with deep and difficult issues at the frontier of probability theory."
William G. Faris, University of Arizona, SIAM Review
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- Date Published: May 2005
- format: Adobe eBook Reader
- isbn: 9780511079122
- contains: 37 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Large deviations: basic results
2. Small random perturbations of dynamical systems: basic estimates of Freidlin and Wentzell
3. Large deviations and statistical mechanics
4. Metastability I: general description, the Curie-Weiss model and contact processes
5. Metastability II: the models of Freidlin and Wentzell
6. Reversible Markov chains in the Freidlin-Wentzell regime
7. Metastable behaviour for lattice spin models at low temperature
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