Brownian sheet and capacity

• 成果类型: Article
• 署名作者: Khoshnevisan, D; Shi, Z
• 署名单位: Utah System of Higher Education; University of Utah; Sorbonne Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1999
• 页码: 1135-1159
• 关键词: multiparameter processes; wiener space; parameter; motion

摘要

The main goal of this paper is to present an explicit capacity estimate for hitting probabilities of the Brownian sheet. As applications, we determine the escape rates of the Brownian sheet and also obtain a local intersection equivalence between the Brownian sheet and the additive Brownian motion. Other applications concern quasi-sure properties in Wiener space.