Large Deviations and Metastability - Couverture rigide

Olivieri, Enzo; Vares, Maria Eulália

Couverture rigide

ISBN 10 : 0521591635 ISBN 13 : 9780521591638

Editeur : Cambridge University Press, 2005

Synopsis

Covers an area at intersection of probability theory and statistical mechanics.

A propos du livre

Présentation de l'éditeur

The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic dynamics. With only minimal prerequisites, the book covers all the main results and brings the reader to the most recent developments. Particular emphasis is given to the fundamental Freidlin-Wentzell results on small random perturbations of dynamical systems. Metastability is first described on physical grounds, following which more rigorous approaches to its description are developed. Many relevant examples are considered from the point of view of the so-called pathwise approach. The first part of the book develops the relevant tools including the theory of large deviations which are then used to provide a physically relevant dynamical description of metastability. Written to be accessible to graduate students, this book provides an excellent route into contemporary research.

Revue de presse

'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.' Publication of the International Statistical Institute

' ... yields a wide overview of the current mathematical understanding of metastability phenomena arising in the context of Markov processes.' Zentralblatt MATH

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 0521591635
• ISBN 13: 9780521591638
• Reliure: Relié
• Nombre de pages: 528
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France