Random Perturbations of Dynamical Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1984
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
260 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes |
| Beschreibung: | 1 Online-Ressource (VIII, 328 p) |
| ISBN: | 9781468401769 9781468401783 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-1-4684-0176-9 |
Internformat
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| 245 | 1 | 0 | |a Random Perturbations of Dynamical Systems |c by M. I. Freidlin, A. D. Wentzell |
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| 500 | |a Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes | ||
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Datensatz im Suchindex
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| author | Freidlin, M. I. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-0176-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468401769 9781468401783 |
| issn | 0072-7830 |
| language | English |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Freidlin, M. I. Verfasser aut Random Perturbations of Dynamical Systems by M. I. Freidlin, A. D. Wentzell New York, NY Springer US 1984 1 Online-Ressource (VIII, 328 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 260 0072-7830 Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes Mathematics Global analysis (Mathematics) Analysis 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/10.1007/978-1-4684-0176-9 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 Global analysis (Mathematics) Analysis 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 Global analysis (Mathematics) Analysis Mathematik Störungstheorie (DE-588)4128420-3 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Störungstheorie Stochastischer Prozess Dynamisches System |
| url | https://doi.org/10.1007/978-1-4684-0176-9 |
| work_keys_str_mv | AT freidlinmi randomperturbationsofdynamicalsystems AT wentzellad randomperturbationsofdynamicalsystems |