We prove a zero or one law for one dimensional random walks in random environments for which the probability of making jumps of size $n$ decays exponentially. As an application we conclude that these random walks are recurrent if the distribution of the random environment is symmetric.
Publié le : 1988-04-14
Classification:
Random walk in random environment,
zero or one law,
harmonic functions,
recurrence,
60K99,
60J10
@article{1176991783,
author = {Andjel, Enrique D.},
title = {A Zero or One Law for One Dimensional Random Walks in Random Environments},
journal = {Ann. Probab.},
volume = {16},
number = {4},
year = {1988},
pages = { 722-729},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991783}
}
Andjel, Enrique D. A Zero or One Law for One Dimensional Random Walks in Random Environments. Ann. Probab., Tome 16 (1988) no. 4, pp. 722-729. http://gdmltest.u-ga.fr/item/1176991783/