Integrability of exit times and ballisticity for random walks in Dirichlet environment

Details Integrability of exit times and ballisticity for random walks in Dirichlet environment Integrability of exit times and ballisticity for random walks in Dirichlet environment

2008-01-18

arxiv.org/abs/0801.2875v1

Mathematics

Probability

Scientific paper

We consider random walks in Dirichlet environment, introduced by Enriquez and Sabot in 2006. As this distribution on environments is not uniformly elliptic, the annealed integrability of exit times out of a given finite subset is a non-trivial property. We provide here an explicit equivalent condition for this integrability to happen, on general directed graphs. Such integrability problems arise for instance from the definition of Kalikow auxiliary random walk. Using our condition, we prove a refined version of the ballisticity criterion given by Enriquez and Sabot.

Affiliated with

Also associated with

No associations

Rating

Integrability of exit times and ballisticity for random walks in Dirichlet environment does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrability of exit times and ballisticity for random walks in Dirichlet environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability of exit times and ballisticity for random walks in Dirichlet environment will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691199