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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 100 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511543272 https://doi.org/10.1017/CBO9780511543272 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xv, 512 pages) |
| ISBN: | 9780511543272 |
| DOI: | 10.1017/CBO9780511543272 |
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| 245 | 1 | 0 | |a Large deviations and metastability |c Enzo Olivieri, Maria Eulália Vares |
| 246 | 1 | 3 | |a Large Deviations & Metastability |
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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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Datensatz im Suchindex
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| any_adam_object | |
| author | Olivieri, Enzo 1945- |
| author_facet | Olivieri, Enzo 1945- |
| author_role | aut |
| author_sort | Olivieri, Enzo 1945- |
| author_variant | e o eo |
| building | Verbundindex |
| bvnumber | BV043942040 |
| classification_rvk | SK 800 SK 810 SK 820 |
| collection | ZDB-20-CBO |
| contents | Large deviations : basic results Small random perturbations of dynamical systems : basic estimates of Freidlin and Wentzell Large deviations and statistical mechanics Metastability : general description : Curie-Weiss model : contact process Metastability : models of Freidlin and Wentzell Reversible Markov chains in the Freidlin-Wentzell regime Metastable behaviour for lattice spin models at low temperature |
| ctrlnum | (ZDB-20-CBO)CR9780511543272 (OCoLC)850318179 (DE-599)BVBBV043942040 |
| dewey-full | 519.5/34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/34 |
| dewey-search | 519.5/34 |
| dewey-sort | 3519.5 234 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543272 |
| format | Electronic eBook |
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| id | DE-604.BV043942040 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:18Z |
| institution | BVB |
| isbn | 9780511543272 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351010 |
| oclc_num | 850318179 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xv, 512 pages) |
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| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Olivieri, Enzo 1945- Verfasser aut Large deviations and metastability Enzo Olivieri, Maria Eulália Vares Large Deviations & Metastability Cambridge Cambridge University Press 2005 1 online resource (xv, 512 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 100 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Large deviations : basic results 2 Small random perturbations of dynamical systems : basic estimates of Freidlin and Wentzell 3 Large deviations and statistical mechanics 4 Metastability : general description : Curie-Weiss model : contact process 5 Metastability : models of Freidlin and Wentzell 6 Reversible Markov chains in the Freidlin-Wentzell regime 7 Metastable behaviour for lattice spin models at low temperature 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 Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd rswk-swf Metastabiler Zustand (DE-588)4169654-2 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Metastabiler Zustand (DE-588)4169654-2 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Große Abweichung (DE-588)4330658-5 s 2\p DE-604 Vares, Maria Eulália Sonstige oth Erscheint auch als Druckausgabe 978-0-521-59163-8 https://doi.org/10.1017/CBO9780511543272 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Olivieri, Enzo 1945- Large deviations and metastability Large deviations : basic results Small random perturbations of dynamical systems : basic estimates of Freidlin and Wentzell Large deviations and statistical mechanics Metastability : general description : Curie-Weiss model : contact process Metastability : models of Freidlin and Wentzell Reversible Markov chains in the Freidlin-Wentzell regime Metastable behaviour for lattice spin models at low temperature Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd Metastabiler Zustand (DE-588)4169654-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4330658-5 (DE-588)4169654-2 (DE-588)4037952-8 (DE-588)4056999-8 |
| title | Large deviations and metastability |
| title_alt | Large Deviations & Metastability Large deviations : basic results Small random perturbations of dynamical systems : basic estimates of Freidlin and Wentzell Large deviations and statistical mechanics Metastability : general description : Curie-Weiss model : contact process Metastability : models of Freidlin and Wentzell Reversible Markov chains in the Freidlin-Wentzell regime Metastable behaviour for lattice spin models at low temperature |
| 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 |
| topic | Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd Metastabiler Zustand (DE-588)4169654-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Large deviations Stability Große Abweichung Metastabiler Zustand Mathematische Physik Statistische Mechanik |
| url | https://doi.org/10.1017/CBO9780511543272 |
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