北京师范大学学报（自然科学版）2017，Vol.53Issue(4)：391-394,4.DOI:10.16360/j.cnki.jbnuns.2017.04.003
近临界紧邻随机游动局部时的重整化极限
Scaling limit in local time of near-critical nearest random walk
摘要
Abstract
In 1961,Lamperti proves that a sequence of certain near-critical nearest random walks converges weakly to Brownian motion after proper scaling.Scaling limit in local times is then considered.We prove that local times converge to those of Brownian motion by corresponding scaling.Our proof is based on intrinsic branching structure of random walk and convergence of time in homogeneous branching processe.关键词
随机游动/近临界/局部时/重整化Key words
random walk/near-critical/local time/scaling分类
数理科学引用本文复制引用
周珂,刘敏之..近临界紧邻随机游动局部时的重整化极限[J].北京师范大学学报（自然科学版）,2017,53(4):391-394,4.基金项目
国家自然科学基金数学天元基金资助项目(11626059) （11626059）
国家自然科学基金资助项目(11531001) （11531001）
中央高校基本科研业务费专项资金资助项目(15QN15) （15QN15）
