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arXiv · 1804.11114

Deterministic walks in random environment

Romain Aimino·Carlangelo Liverani
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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) on the latter, purely probabilistic, model.

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Romain Aimino, Carlangelo Liverani. 2018-04-30. Deterministic walks in random environment. https://arxiv.org/abs/1804.11114

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