期刊名称：Brazilian Journal of Probability and Statistics
印刷版ISSN：0103-0752
出版年度：2000
卷号：14
期号：1
页码：15-46
出版社：Brazilian Statistical Association
摘要：A Large Deviation Principle (LDP) for a class of random processes depending on a small parameter " > 0 is established. This class of processes arises from a random perturbation of a dynamical system. Then, exponential estimates for events of the type “not very large deviations” (deviations of order " , 0 < < 1 2 ) are obtained. Finally, the wave front propagation, as " ↓ 0 , of the solution of some initial-boundary value problems is analyzed; these problems are formulated in terms of a reaction-diffusion equation whose diffusion coefficient is of order 1 " and the nonlinear term is of order 1 " 1−2 . The wave front is characterized in terms of the action functional corresponding to the Large Deviation Principle initially obtained.
关键词：Action functional; large deviation; “not very large deviations”;wave front propagation.
