IDLA on the Supercritical Percolation Cluster

Details IDLA on the Supercritical Percolation Cluster IDLA on the Supercritical Percolation Cluster

2008-06-29

arxiv.org/abs/0806.4771v2

Mathematics

Probability

17 pages, 1 figure - assumption of Gaussian estimates on graph relaxed to a nonuniform elliptic Harnack Inequality

Scientific paper

We consider the internal diffusion limited aggregation (IDLA) process on the infinite cluster in supercritical Bernoulli bond percolation on Euclidean lattices. It is shown that the process on the cluster behaves like it does on the Euclidean lattice, in that the aggregate covers all the vertices in a Euclidean ball around the origin, such that the ratio of vertices in this ball to the total number of particles sent out approaches one almost surely.

Affiliated with

Also associated with

No associations

Rating

IDLA on the Supercritical Percolation Cluster 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 IDLA on the Supercritical Percolation Cluster, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and IDLA on the Supercritical Percolation Cluster will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259321