An inhomogeneous percolation model is a -dimensional discrete
percolation model such that different graph edges
(in the case of bond percolation models) or vertices (in the case of site
percolation models) may have different probabilities
of being open. This is in contrast to the typical bond and site percolation models
which are homogeneous in the sense that openness of edges/vertices is determined
by a random variable which is identically and
independently distributed (i.i.d.).
Unsurprisingly, the breadth of continuum percolation theory allows one to adapt the above definition to models thereof.
Such an adaptation could consist either of distributing -dimensional shapes in to points determined by inhomogeneous point processes-point
processes with time-dependent realizations-or of utilizing non-uniform probability
distributions to determine the properties of the shapes themselves.