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Cut points and diffusive random walks in random environment. (English) Zbl 1016.60094
Summary: We study a special class of multidimensional random walks in random environment for which we are able to prove in a non-perturbative fashion both a law of large numbers and a functional central limit theorem. As an application we provide new examples of diffusive random walks in random environment. In particular we construct examples of diffusive walks which evolve in an environment for which the static expectation of the drift does not vanish.

MSC:
60K37 Processes in random environments
60G50 Sums of independent random variables; random walks
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