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Deterministic walks in random environment

Annals of Probability


Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walks in random environment where the jump probability depends (weakly) on the past. In addition, we prove few basic results (hopefully the germ of a general theory) on the latter, purely probabilistic, model.


Year of publication: 2020

Volume: 48

Issue: 5

Pages: 2212-2257


Other: cv-prod-id-1907720

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