Due to the vastness of the literature on percolation theory, however, there is a certain lack of uniformity in its terminology; as such, some authors choose to define
-dimensional
Bernoulli percolation strictly in terms of its behavior on the standard bond percolation
model within the regular point lattice . According to this view, the term Bernoulli percolation
refers to the independent assignment as either
open (with probability ) or closed (with probability ) to each edge where here,
This perspective, though framed relative to obvious graph theory terminology, is largely probabilistic (Cerf 2006).