CLUSTERS OF A RANDOM-WALK ON THE PLANE
成果类型:
Article
署名作者:
REVESZ, P
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/aop/1176989406
发表日期:
1993
页码:
318-328
关键词:
摘要:
Let r(n) be the radius of the largest disc covered by S(1),...,S(n), where (S(k); k = 1, 2,...} is the simple symmetric random walk on Z2. The main result tells us that r(n) greater-than-or-equal-to n1/50 a.s. for all but finitely many n.