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Название: Einstein's Relation between Diffusion Constant and Mobility for a Diffusion Model
Автор: Rodenhausen H.
An Ornstein Uhtenbeck process in a periodic potential in R^d is considered. It has been shown previously that this process satisfies a central limit theorem in the sense that, by rescaling space and time in a suitable way, the distribution of the process converges to that of a Wiener process with nonsingular diffusion matrix. Here a rigorous proof is given of a version of Einstein's formula for this model, relating the diffusion constant to the "mobility" of the system.