The Number of Open Paths in Oriented Percolation

Olivier Garet, Jean-Baptiste Gouéré, Régine Marchand

We study the number $N\_n$ of open paths of length $n$ in supercritical oriented percolation on $\Zd \times \N$, with $d\ge 1$. We prove that on the percolation event $\{\inf N\_n…