DISTANCES IN THE HIGHLY SUPERCRITICAL PERCOLATION CLUSTER
成果类型：
Article
署名作者：
Basdevant, Anne-Laure; Enriquez, Nathanael; Gerin, Lucas
署名单位：
Universite Paris Saclay
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/12-AOP802
发表日期：
2013
页码：
4342-4358
关键词：
摘要：
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1 + 1-p/2 + o(1 - p) with respect to the usual distance. The proof is based on an apparently new connection with the TASEP (totally asymmetric simple exclusion process).