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Title:

Biased random walk on dynamical percolation

Document type:
Zeitschriftenaufsatz
Author(s):
Andres, Sebastian; Gantert, Nina; Schmid, Dominik; Sousi, Perla
Abstract:
We study biased random walks on dynamical percolation on Zd. We establish a law of large numbers and an invariance principle for the random walk using regeneration times. Moreover, we verify that the Einstein relation holds, and we investigate the speed of the walk as a function of the bias. While for d=1 the speed is increasing, we show that, in general, this fails in dimension d≥2. As our main result, we establish two regimes of parameters, separated by an explicit critical curve such that the...     »
Journal title:
The Annals of Probability
Year:
2024
Journal volume:
52
Journal issue:
6
Fulltext / DOI:
doi:10.1214/23-aop1679
Publisher:
Institute of Mathematical Statistics
E-ISSN:
0091-1798
Date of publication:
01.11.2024
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