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Mathematics > Probability

arXiv:1804.11114 (math)
[Submitted on 30 Apr 2018 (v1), last revised 22 Jan 2020 (this version, v3)]

Title:Deterministic walks in random environment

Authors: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.
Comments: Accepted for publication on Annals of Probability
Subjects: Probability (math.PR); Dynamical Systems (math.DS)
Cite as: arXiv:1804.11114 [math.PR]
  (or arXiv:1804.11114v3 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1804.11114

Submission history

From: Romain Aimino [view email]
[v1] Mon, 30 Apr 2018 10:46:30 UTC (48 KB)
[v2] Mon, 22 Apr 2019 14:45:17 UTC (46 KB)
[v3] Wed, 22 Jan 2020 16:18:29 UTC (46 KB)
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