Talk:Percolation theory
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What is Bernoulli percolation theory?
[edit] p = 51?
Are you sure? I think probabilities should lie between 0 and 1. --202.40.139.171 05:45, 6 June 2007 (UTC)
Most likely it means p=51% (i.e. p=.51) 128.95.224.52 00:09, 19 October 2007 (UTC)
[edit] Bernoulli percolation vs. percolation theory
Bernoulli bond (resp. site) percolation is simply a more descriptive name for the percolation process that's described in the bulk of this article: every edge (resp. vertex) in the lattice is independently assigned a Bernoulli random variable with parameter p (with 
), where 1s represent open edges (or sites) and 0s represent closed edges (or sites). (Hence this percolation process is a Bernoulli process.)
It seems to me that the overall organization of the percolation-related articles (e.g. percolation, percolation theory, percolation threshold, 2D percolation cluster, directed percolation) is somewhat confusing due to lack of coordination. I think "percolation theory" usually refers to standard Bernoulli percolation, although as pointed out in the section "The different models," there are other related models that are more general or approach the idea of percolation from a different perspective. However, I'm not aware of any reference that describes this more general concept of "percolation theory" in a unified way, so I don't know if it would make sense to have an article describing generalized percolation theory separate from Bernoulli percolation. 128.95.224.52 00:06, 19 October 2007 (UTC)
