The incipient infinite cluster in high-dimensional percolation.
The jammed phase of the Biham-Middleton-Levine traffic model.
The metastability threshold for modified bootstrap percolation in dimensions.
The number of unbounded components in the Poisson Boolean model of continuum percolation in hyperbolic space.
The size of a pond in 2D invasion percolation.
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
Transience of percolation clusters on wedges.