Description: Large Deviations and Metastability, Hardcover by Olivieri, Enzo; Vares, Maria Eulalia, ISBN 0521591635, ISBN-13 9780521591638, Brand New, Free shipping in the US Olivieri (Università di Roma Tor Vergata, Italy) and Vares (Centra Brasileiro de Pesquisas Físicas, Brazil) introduce the mathematical theory of wide deviations and provide an overview of the main results and recent development in the metastable behavior of stochastic dynamics. They describe a variety of rigorous approaches to the treatment of the metastability phenomenon, including the mean field model of the Curie-Weiss chain, the one-dimensional Harris contact process, and Itô processes in the context of Freidlin-Wentzell theory. They then study the long time behavior of general reversible Freidlin-Wentzell Markov chains. The volume concludes with a discussion metastability and nucleation for various short range lattice spin models that can be seen as a generalization of the standard stochastic Ising model in which they consider the asymptotic regime with fixed volume and coupling constants in the limit of very low temperature. A particular emphasis is given to the case of reversible stochastic evolutions. Annotation ©2005 Book News, Inc., Portland, OR ()
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Book Title: Large Deviations and Metastability
Number of Pages: 528 Pages
Language: English
Publication Name: Large Deviations and Metastability
Publisher: Cambridge University Press
Publication Year: 2005
Item Height: 1.3 in
Subject: Differential Equations / General, Probability & Statistics / General
Type: Textbook
Item Weight: 32.4 Oz
Author: Maria Eulália Vares, Enzo Olivieri
Subject Area: Mathematics
Item Length: 9.5 in
Item Width: 6.5 in
Series: Encyclopedia of Mathematics and Its Applications Ser.
Format: Hardcover
