A -dimensional
discrete percolation model is said
to be inhomogeneous if 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.
-dimensional
discrete percolation model is said
to be inhomogeneous if 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.).
-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.
