Range of a Transient 2d-Random Walk

Details Range of a Transient 2d-Random Walk Range of a Transient 2d-Random Walk

2011-11-03

arxiv.org/abs/1111.0877v1

Mathematics

Probability

9 pages

Scientific paper

We study the range of a planar random walk on a randomly oriented lattice, already known to be transient. We prove that the expectation of the range grows linearly, in both the quenched (for a.e. orientation) and annealed ("averaged") cases. We also express the rate of growth in terms of the quenched Green function and eventually prove a weak law of large numbers in the (non-Markovian) annealed case.

Affiliated with

Also associated with

No associations

Rating

Range of a Transient 2d-Random Walk 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 Range of a Transient 2d-Random Walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Range of a Transient 2d-Random Walk will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702835