Large Deviations and Metastability by Maria Vares

Large Deviations and Metastability by Maria 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.

'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

SKU	Unavailable
ISBN 13	9780521591638
ISBN 10	0521591635
Title	Large Deviations and Metastability
Author	Maria Vares
Series	Encyclopedia Of Mathematics And Its Applications
Condition	Unavailable
Binding Type	Hardback
Publisher	Cambridge University Press
Year published	2005-02-21
Number of pages	528
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable