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research article
Local trapping for elliptic random walks in random environments in Z(d)
We consider elliptic random walks in i.i.d. random environments on . The main goal of this paper is to study under which ellipticity conditions local trapping occurs. Our main result is to exhibit an ellipticity criterion for ballistic behavior which extends previously known results. We also show that if the annealed expected exit time of a unit hypercube is infinite then the walk has zero asymptotic velocity.
Type
research article
Web of Science ID
WOS:000379701300009
Authors
Publication date
2016
Publisher
Published in
Volume
165
Issue
3-4
Start page
795
End page
834
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 18, 2016
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