Large deviations and metastability:
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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 100 |
| Links: | https://doi.org/10.1017/CBO9780511543272 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xv, 512 Seiten) |
| ISBN: | 9780511543272 |
Internformat
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| 100 | 1 | |a Olivieri, Enzo |d 1945- | |
| 245 | 1 | 0 | |a Large deviations and metastability |c Enzo Olivieri, Maria Eulália Vares |
| 246 | 3 | |a Large Deviations & Metastability | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2005 | |
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| 520 | |a 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. | ||
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| language | English |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Olivieri, Enzo 1945- Large deviations and metastability Enzo Olivieri, Maria Eulália Vares Large Deviations & Metastability Cambridge Cambridge University Press 2005 1 Online-Ressource (xv, 512 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 100 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. Vares, Maria Eulália Erscheint auch als Druck-Ausgabe 9780521591638 |
| spellingShingle | Olivieri, Enzo 1945- Large deviations and metastability |
| title | Large deviations and metastability |
| title_alt | Large Deviations & Metastability |
| title_auth | Large deviations and metastability |
| title_exact_search | Large deviations and metastability |
| title_full | Large deviations and metastability Enzo Olivieri, Maria Eulália Vares |
| title_fullStr | Large deviations and metastability Enzo Olivieri, Maria Eulália Vares |
| title_full_unstemmed | Large deviations and metastability Enzo Olivieri, Maria Eulália Vares |
| title_short | Large deviations and metastability |
| title_sort | large deviations and metastability |
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