You are right, if we say have 1000 clusters in total, we will have many clusters of size 1, fewer clusters of size 2, fewer sizes of size 3 etc. But of course there will be a few very large clusters.
So the text I quoted from Wiki:
"when p<pc, the probability that a specific point (for...
Hmm. But the large clusters are taking up a visibly large amount of area. So if for example the area of the whole lattice is 1000x1000 = 1000000, and one of the clusters is of size 300000, then there is
a 30% chance that an arbitrarily picked site is in a cluster with size 300000. Maybe the...
Hi,
I am trying to learn some stuff about percolation, specifically what Menshikov's theorem is about. On wiki http://en.wikipedia.org/wiki/Percolation_theory it says:
"when p<pc, the probability that a specific point (for example, the origin) is contained in an open cluster of size r...