Homogenization of Ornstein-Uhlenbeck Process in Random Environment
Benabou, Gaël (2006), Homogenization of Ornstein-Uhlenbeck Process in Random Environment, Communications in Mathematical Physics, 266, 3, p. 699-714. http://dx.doi.org/10.1007/s00220-006-0046-9
TypeArticle accepté pour publication ou publié
Journal nameCommunications in Mathematical Physics
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Abstract (EN)We consider a tracer particle moving in a random environment. The velocity of the tracer is modelled by an Ornstein-Uhlenbeck process which takes into account inertia and friction. The medium results in a possibly unbounded random potential. We prove an invariance principle for this kind of motion. The method used is generalized in order to obtain a central limit theorem for a large class of process, the most interesting application being a tagged particle in a medium of infinitely many Ornstein-Uhlenbeck particles.
Subjects / Keywordsrandom environment; tracer particle
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