On the Cluster Size Distribution for Percolation on Some General Graphs

Details On the Cluster Size Distribution for Percolation on Some General Graphs On the Cluster Size Distribution for Percolation on Some General Graphs

2008-05-23

arxiv.org/abs/0805.3620v1

Mathematics

Probability

22 pages

Scientific paper

We show that for any Cayley graph, the probability (at any $p$) that the
cluster of the origin has size n decays at a well-defined exponential rate
(possibly 0). For general graphs, we relate this rate being positive in the
supercritical regime with the amenability/nonamenability of the underlying
graph.

Affiliated with

Also associated with

No associations

Rating

On the Cluster Size Distribution for Percolation on Some General Graphs 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 On the Cluster Size Distribution for Percolation on Some General Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Cluster Size Distribution for Percolation on Some General Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500483