We show that random walk in uniformly elliptic i.i.d. environment in dimension ≥5 has at most one non zero limiting velocity. In particular this proves a law of large numbers in the distributionally symmetric case and establishes connections between different conjectures.
Publié le : 2008-03-15
Classification:
Random walk,
random environment,
60K37
@article{1204306965,
author = {Berger, Noam},
title = {Limiting velocity of high-dimensional random walk in random environment},
journal = {Ann. Probab.},
volume = {36},
number = {1},
year = {2008},
pages = { 728-738},
language = {en},
url = {http://dml.mathdoc.fr/item/1204306965}
}
Berger, Noam. Limiting velocity of high-dimensional random walk in random environment. Ann. Probab., Tome 36 (2008) no. 1, pp. 728-738. http://gdmltest.u-ga.fr/item/1204306965/