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Random Perturbations of Dynamical Systems

Springer New York,
Buch
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Kurzbeschreibung

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.

Details
Schlagworte

Titel: Random Perturbations of Dynamical Systems
Autoren/Herausgeber: M. I. Freidlin, A. D. Wentzell
Übersetzer: J. Szucs
Aus der Reihe: Grundlehren der mathematischen Wissenschaften
Ausgabe: Softcover reprint of the original 1st ed. 1984

ISBN/EAN: 9781468401783

Seitenzahl: 328
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 516 g
Sprache: Englisch

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