Branching structure for the transient (1;R)-random walk in random environment and its applications

Details Branching structure for the transient (1;R)-random walk in random environment and its applications Branching structure for the transient (1;R)-random walk in random environment and its applications

2010-03-19

arxiv.org/abs/1003.3733v1

Mathematics

Probability

25 pages

Scientific paper

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).

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