GEOMETRIC STRUCTURES OF LATE POINTS OF A TWO-DIMENSIONAL SIMPLE RANDOM WALK

• 成果类型: Article
• 署名作者: Okada, Izumi
• 署名单位: Tokyo University of Science
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1325
• 发表日期: 2019
• 页码: 2869-2893
• 关键词: cover times; inverse

摘要

As Dembo (In Lectures on Probability Theory and Statistics (2005) 1-101 Springer, and International Congress of Mathematicians, Vol. III (2006) 535-558, Eur. Math. Soc.) suggested, we consider the problem of late points for a simple random walk in two dimensions. It has been shown that the exponents for the number of pairs of late points coincide with those of favorite points and high points in the Gaussian free field, whose exact values are known. We determine the exponents for the number of j-tuples of late points on average.