Random Perturbations of Dynamical Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
260 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The first edition of this book was published in 1979 in Russian. Most of the material presented was related to large-deviation theory for stochastic pro cesses. This theory was developed more or less at the same time by different authors in different countries. This book was the first monograph in which large-deviation theory for stochastic processes was presented. Since then a number of books specially dedicated to large-deviation theory have been pub lished, including S. R. S. Varadhan [4], A. D. Wentzell [9], J. -D. Deuschel and D. W. Stroock [1], A. Dembo and O. Zeitouni [1]. Just a few changes were made for this edition in the part where large deviations are treated. The most essential is the addition of two new sections in the last chapter. Large deviations for infinite-dimensional systems are briefly conside:red in one new section, and the applications of large-deviation theory to wave front prop agation for reaction-diffusion equations are considered in another one. Large-deviation theory is not the only class of limit theorems arising in the context of random perturbations of dynamical systems. We therefore included in the second edition a number of new results related to the aver aging principle. Random perturbations of classical dynamical systems under certain conditions lead to diffusion processes on graphs. Such problems are considered in the new Chapter 8 |
| Beschreibung: | 1 Online-Ressource (XI, 432 p) |
| ISBN: | 9781461206118 9781461268390 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-1-4612-0611-8 |
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| institution | BVB |
| isbn | 9781461206118 9781461268390 |
| issn | 0072-7830 |
| language | English |
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| spelling | Freidlin, M. I. Verfasser aut Random Perturbations of Dynamical Systems by M. I. Freidlin, A. D. Wentzell Second Edition New York, NY Springer New York 1998 1 Online-Ressource (XI, 432 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 260 0072-7830 The first edition of this book was published in 1979 in Russian. Most of the material presented was related to large-deviation theory for stochastic pro cesses. This theory was developed more or less at the same time by different authors in different countries. This book was the first monograph in which large-deviation theory for stochastic processes was presented. Since then a number of books specially dedicated to large-deviation theory have been pub lished, including S. R. S. Varadhan [4], A. D. Wentzell [9], J. -D. Deuschel and D. W. Stroock [1], A. Dembo and O. Zeitouni [1]. Just a few changes were made for this edition in the part where large deviations are treated. The most essential is the addition of two new sections in the last chapter. Large deviations for infinite-dimensional systems are briefly conside:red in one new section, and the applications of large-deviation theory to wave front prop agation for reaction-diffusion equations are considered in another one. Large-deviation theory is not the only class of limit theorems arising in the context of random perturbations of dynamical systems. We therefore included in the second edition a number of new results related to the aver aging principle. Random perturbations of classical dynamical systems under certain conditions lead to diffusion processes on graphs. Such problems are considered in the new Chapter 8 Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Störungstheorie (DE-588)4128420-3 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Störungstheorie (DE-588)4128420-3 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Wentzell, A. D. Sonstige oth https://doi.org/10.1007/978-1-4612-0611-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Freidlin, M. I. Random Perturbations of Dynamical Systems Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Störungstheorie (DE-588)4128420-3 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4057630-9 (DE-588)4013396-5 |
| title | Random Perturbations of Dynamical Systems |
| title_auth | Random Perturbations of Dynamical Systems |
| title_exact_search | Random Perturbations of Dynamical Systems |
| title_full | Random Perturbations of Dynamical Systems by M. I. Freidlin, A. D. Wentzell |
| title_fullStr | Random Perturbations of Dynamical Systems by M. I. Freidlin, A. D. Wentzell |
| title_full_unstemmed | Random Perturbations of Dynamical Systems by M. I. Freidlin, A. D. Wentzell |
| title_short | Random Perturbations of Dynamical Systems |
| title_sort | random perturbations of dynamical systems |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Störungstheorie (DE-588)4128420-3 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Störungstheorie Stochastischer Prozess Dynamisches System |
| url | https://doi.org/10.1007/978-1-4612-0611-8 |
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