Geodesics in two-dimensional first-passage percolation
成果类型：
Article
署名作者：
Licea, C; Newman, CM
署名单位：
New York University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1996
页码：
399-410
关键词：
摘要：
We consider standard first-passage percolation on Z(2). Geodesics are nearest-neighbor paths in Z(2), each of whose segments is time-minimizing. We prove part of the conjecture that doubly infinite geodesics do not exist. Our main tool is a result of independent interest about the coalescing of semi-infinite geodesics.