数学物理学报 ›› 2015, Vol. 35 ›› Issue (6): 1180-1189.

• 论文 • 上一篇    下一篇

带停留对称随机游动局部时的渐进行为

孙鸿雁1, 么亚楠2   

  1. 1 中国地质大学(北京) 北京 100081;
    2 北京师范大学 北京 100875
  • 收稿日期:2015-04-17 修回日期:2015-09-23 出版日期:2015-12-25 发布日期:2015-12-25
  • 作者简介:孙鸿雁,sunhy@mail.bnu.edu.cn;么亚楠,201021130054@mail.bnu.edu.cn
  • 基金资助:

    中央高校基本科研业务费(35932014011)资助

Asymptotic Behavior of the Local Time for the Symmetric Random Walk with Stay

Sun Hongyan1, Yao Yanan2   

  1. 1 China University of Geosciences, Beijing 100081;
    2 School of Mathematical Sciences, Beijing Normal University, Beijing 100875
  • Received:2015-04-17 Revised:2015-09-23 Online:2015-12-25 Published:2015-12-25

摘要:

该文研究带停留对称随机游动,模型的局部时可写成一个非退化两物种分支过程的泛函.由这个表示建立模型局部时的收敛性质.

关键词: 布朗局部时, 随机游动, 分支过程

Abstract:

We consider the symmetric random walk with stay in this paper, whose local time can be represented by a function of a non-primitive two-type branching process. Using this representation, we establish the convergence of the local time of the random walk.

Key words: Brownian local time, Random walk, Branching processes

中图分类号: 

  • O211.4