2012 | OriginalPaper | Buchkapitel
Action Functional
verfasst von : Mark I. Freidlin, Alexander D. Wentzell
Erschienen in: Random Perturbations of Dynamical Systems
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In Chap. 3, the main notion of the large deviation theory, the action functional (rate function) for a family of probability measures (family of stochastic processes) is introduced and its properties are discussed in detail. The Wiener process with a small factor and its continuous transformations, in particular, Gaussian processes and diffusion processes with a constant diffusion matrix are considered as examples. General results concerning logarithmic asymptotics of the large deviation probabilities and the Laplace type asymptotics of expectations are presented in this chapter.