Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks

• 成果类型: Article
• 署名作者: Xia, C
• 署名单位: University of Tennessee System; University of Tennessee Knoxville
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117905000000035
• 发表日期: 2005
• 页码: 1014-1059
• 关键词: aleatory walks; local-times; sobolev

摘要

Let S-1 (n), . . ., S-p(n) be independent symmetric random walks in Z(d). We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges #{S-1[0, n] boolean AND . . . boolean AND S-p[0, n]} in the case d = 2, p >= 2 and the case d = 3, p = 2.