CROSSING VELOCITIES AND RANDOM LATTICE ANIMALS

• 成果类型: Article
• 署名作者: SZNITMAN, AS
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988172
• 发表日期: 1995
• 页码: 1006-1023
• 关键词: brownian-motion

摘要

We consider a Brownian motion in a Poissonian potential conditioned to reach a remote location. We shaw that for typical configurations the expectation of the time H to reach this goal grows at most linearly in the distance from the goal to the origin. In spite of the fact that H has no finite exponential moment, we derive three exponential estimates, one of which concerns the size of a natural lattice animal attached to the trajectory of the process up to the goal.