The phrase dependent percolation is used in two-dimensional discrete percolation to describe any general model in which the states of the various graph edges (in the case of bond percolation models) or graph vertices (in site percolation models) are not independent. Many models of this type come about naturally in a number of fields. For example, a popular tool in statistical mechanics is the two-dimensional Ising model, a type of dependent site percolation model used to study the dipole moments of magnetic spins. Other examples include the Potts models-generalizations of the Ising model in which σ is allowed to take on n>=1 different values rather than the usual two-and the random-cluster model.
AB percolation | Bernoulli percolation model | bond percolation | Boolean model | Boolean-Poisson model | bootstrap percolation | Cayley tree | cluster | cluster perimeter | continuum percolation theory | discrete percolation theory | disk model | first-passage percolation | germ-grain model | inhomogeneous percolation model | lattice animal | long-range percolation model | mixed percolation model | oriented percolation model | percolation | percolation theory | percolation threshold | polyomino | random-cluster model | random-connection model | random walk | s-cluster | site percolation | s-run
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