ARCHIMEDES' PRINCIPLE FOR BROWNIAN LIQUID

• 成果类型: Article
• 署名作者: Burdzy, Krzysztof; Chen, Zhen-Qing; Pal, Soumik
• 署名单位: University of Washington; University of Washington Seattle
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/11-AAP765
• 发表日期: 2011
• 页码: 2053-2074
• 关键词: symmetric markov-processes; motion; uniqueness; domains

摘要

We consider a family of hard core objects moving as independent Brownian motions confined to a vessel by reflection. These are subject to gravitational forces modeled by drifts. The stationary distribution for the process has many interesting implications, including an illustration of the Archimedes' principle. The analysis rests on constructing reflecting Brownian motion with drift in a general open connected domain and studying its stationary distribution. In dimension two we utilize known results about sphere packing.