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.
2020
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07 - FISICA MATEMATICA
English
random Lorentz gas
random walk in random environment
decay of correlations
Aimino, R., Liverani, C. (2020). Deterministic walks in random environment. ANNALS OF PROBABILITY, 48(5), 2212-2257 [10.1214/19-AOP1421].
Aimino, R; Liverani, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/256340
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