On ballistic diffusions in random environment. (English) Zbl 1026.60096

Summary: We investigate diffusions in random environment. We provide a sufficient condition for a strong law of large numbers with non-vanishing limiting velocity and a functional central limit theorem. In the course of this work we introduce certain regeneration times and obtain a renewal structure. As an illustration, we apply our results to a class of anisotropic gradient-type diffusions in random environment, where the technique of the environment viewed from the particle does not apply well.


60J60 Diffusion processes
60K37 Processes in random environments
60F15 Strong limit theorems
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