Large Deviations and Metastability
Zusammenfassung
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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
' … yields a wide overview of the current mathematical understanding of metastability phenomena arising in the context of Markov processes.' Zentralblatt MATH
| SKU | Nicht verfügbar |
| ISBN 13 | 9780521591638 |
| ISBN 10 | 0521591635 |
| Titel | Large Deviations and Metastability |
| Autor | Maria Vares |
| Serie | Encyclopedia Of Mathematics And Its Applications |
| Buchzustand | Nicht verfügbar |
| Bindungsart | Hardback |
| Verlag | Cambridge University Press |
| Erscheinungsjahr | 2005-02-21 |
| Seitenanzahl | 528 |
| Hinweis auf dem Einband | Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden. |
| Hinweis | Nicht verfügbar |