Abstract:
The paper reviews percolation and some of its important properties, particularly
on the 2-D square lattice. A bilevel lattice is introduced, with a percolation model
representing the spread of a forest fire according to characteristics of the forest. It is
proven that the value of the laddering probability may determine whether a fire fizzles
out or spreads without bound, and a programmed simulation assists in determining a
critical laddering probability.
