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Titel:

Biased random walk on dynamical percolation

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
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...     »
Zeitschriftentitel:
The Annals of Probability
Jahr:
2024
Band / Volume:
52
Heft / Issue:
6
Volltext / DOI:
doi:10.1214/23-aop1679
Verlag / Institution:
Institute of Mathematical Statistics
E-ISSN:
0091-1798
Publikationsdatum:
01.11.2024
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