Laws of the iterated logarithm for the range of random walks in two and three dimensions

• 成果类型: Article
• 署名作者: Bass, RF; Kumagai, T
• 署名单位: University of Connecticut; Kyoto University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 1369-1396
• 关键词: wiener sausage

摘要

Let S-n be a random walk in Z(d) and let R-n be the range of Sn. We prove an almost sure invariance principle for R-n when d = 3 and a law of the iterated logarithm for R-n when d = 2.