Transience of percolation clusters on wedges

Details Transience of percolation clusters on wedges Transience of percolation clusters on wedges

2002-06-12

arxiv.org/abs/math/0206130v1

Mathematics

Probability

17 pages

Scientific paper

We study random walks on supercritical percolation clusters on wedges in $\Z^3$, and show that the infinite percolation cluster is (a.s.) transient whenever the wedge is transient. This solves a question raised by O. Haggstrom and E. Mossel. We also show that for convex gauge functions satisfying a mild regularity condition, the existence of a finite energy flow on $Z^2$ is equivalent to the (a.s.) existence of a finite energy flow on the supercritical percolation cluster. This solves a question of C. Hoffman.

Affiliated with

Also associated with

No associations

Rating

Transience of percolation clusters on wedges 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 Transience of percolation clusters on wedges, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transience of percolation clusters on wedges will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496792