Paths with exponential intersection tails and oriented percolation
概率论
2016-09-07 v1
摘要
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.
引用
@article{arxiv.math/9701227,
title = {Paths with exponential intersection tails and oriented percolation},
author = {Itai Benjamini and Robin Pemantle and Yuval Peres},
journal= {arXiv preprint arXiv:math/9701227},
year = {2016}
}