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) for the latter purely probabilistic model.
Aimino, R., Liverani, C. (2020). Deterministic walks in random environment. ANNALS OF PROBABILITY, 48(5), 2212-2257 [10.1214/19-AOP1421].
Deterministic walks in random environment
Liverani, C
2020-01-01
Abstract
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) for the latter purely probabilistic model.File in questo prodotto:
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