Branching structure for the transient (1;R)-random walk in random environment and its applications
Probability
2010-03-22 v1
Abstract
An intrinsic multitype branching structure within the transient (1;R)-RWRE is revealed. The branching structure enables us to specify the density of the absolutely continuous invariant measure for the environments seen from the particle and reprove the LLN with an drift explicitly in terms of the environment, comparing with the results in Br\'emont (2002).
Cite
@article{arxiv.1003.3733,
title = {Branching structure for the transient (1;R)-random walk in random environment and its applications},
author = {Wenming Hong and Lin Zhang},
journal= {arXiv preprint arXiv:1003.3733},
year = {2010}
}
Comments
25 pages