Shen, Lian On ballistic diffusions in random environment. (English) Zbl 1026.60096 Ann. Inst. Henri Poincaré, Probab. Stat. 39, No. 5, 839-876 (2003). 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. Cited in 1 ReviewCited in 9 Documents MSC: 60J60 Diffusion processes 60K37 Processes in random environments 60F15 Strong limit theorems Keywords:diffusions in random environment; strong law of large numbers; regeneration times × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML