Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ignition occurs according to independent rate lambda Poisson processes. When a site is hit by ignition, then …