Open Access
September 2020 Deterministic walks in random environment
Romain Aimino, Carlangelo Liverani
Ann. Probab. 48(5): 2212-2257 (September 2020). DOI: 10.1214/19-AOP1421


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.


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Romain Aimino. Carlangelo Liverani. "Deterministic walks in random environment." Ann. Probab. 48 (5) 2212 - 2257, September 2020.


Received: 1 May 2018; Revised: 1 April 2019; Published: September 2020
First available in Project Euclid: 23 September 2020

MathSciNet: MR4152641
Digital Object Identifier: 10.1214/19-AOP1421

Primary: 37A25 , 37C30 , 60J15

Keywords: decay of correlations , Random Lorentz gas , Random walk in random environment

Rights: Copyright © 2020 Institute of Mathematical Statistics

Vol.48 • No. 5 • September 2020
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