2 papers
math.PR2004
Self-Organized Forest-Fires near the Critical Time
J. van den Berg, R. Brouwer
We consider a forest-fire model which, somewhat informally, is described as follows: Each site (vertex) of the square lattice is either vacant or occupied by a tree.Vacant sites be…
math.PR2004
Some Conditional Correlation Inequalities for Percolation and Related Processes
Jacob van den Berg, Olle Haggstrom, Jeff Kahn
Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a and b be vertices. An earlier paper proved the (nonintuitive) result that, conditioned on th…