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Large Deviations and Metastability

Enzo Olivieri, Maria E. Vares
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.
Autor: Olivieri, Enzo Vares, Maria E.
EAN: 9780521591638
Sprache: Englisch
Seitenzahl: 528
Produktart: Gebunden
Verlag: Cambridge University Press
Schlagworte: Metastabilität Abweichung (Mathematik)
Größe: 241
Gewicht: 902 g