The point of view of the particle is an
approach that has proven
very powerful in the study of many models of random motions in random
media.
We provide a new use
of this approach to prove the law of large numbers in the case of one or
higher-dimensional, finite range, transient random walks in mixing random
environments.
One of the advantages of this method over what has been
used so far is that it is not restricted to i.i.d. environments.
Publié le : 2003-07-14
Classification:
Random walks,
random environments,
point of view of the particle,
law of large numbers,
Kalikow's condition,
Dobrushin--Shlosman mixing.,
60K40,
82D30
@article{1055425786,
author = {Rassoul-Agha, Firas},
title = {The point of view of the particle on the law of large numbers for random walks in a mixing random environment},
journal = {Ann. Probab.},
volume = {31},
number = {1},
year = {2003},
pages = { 1441-1463},
language = {en},
url = {http://dml.mathdoc.fr/item/1055425786}
}
Rassoul-Agha, Firas. The point of view of the particle on the law of large numbers for random walks in a mixing random environment. Ann. Probab., Tome 31 (2003) no. 1, pp. 1441-1463. http://gdmltest.u-ga.fr/item/1055425786/