%0 Journal Article
%T Paths with exponential intersection tails and oriented percolation
%A Itai Benjamini
%A Robin Pemantle
%A Yuval Peres
%J Mathematics
%D 1997
%I arXiv
%X We show that oriented percolation occurs whenever a condition is satisfied called "exponential intersection tails". This condition says that a measure on paths exists for which the probability of two independent paths intersecting in more than k sites is exponentially small in k.
%U http://arxiv.org/abs/math/9701227v1