A SHAPE THEOREM FOR EPIDEMICS AND FOREST-FIRES WITH FINITE-RANGE INTERACTIONS
成果类型：
Article
署名作者：
ZHANG, Y
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176988999
发表日期：
1993
页码：
1755-1781
关键词：
摘要：
Cox and Durrett proved the shape theorem of epidemics and forest fires with nearest neighbor interactions. They also conjectured that the shape theorem is still true with finite range interactions. In this paper, we answer this conjecture affirmatively. The method we develop allows us also to improve the result of Zhang and Zhang for all dimension.