首页    期刊浏览 2024年12月06日 星期五
登录注册

文章基本信息

  • 标题:Large deviations for the maximum of a branching random walk
  • 本地全文:下载
  • 作者:Nina Gantert ; Thomas Höfelsauer
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2018
  • 卷号:23
  • DOI:10.1214/18-ECP135
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We consider real-valued branching random walks and prove a large deviation result for the position of the rightmost particle. The position of the rightmost particle is the maximum of a collection of a random number of dependent random walks. We characterise the rate function as the solution of a variational problem. We consider the same random number of independent random walks, and show that the maximum of the branching random walk is dominated by the maximum of the independent random walks. For the maximum of independent random walks, we derive a large deviation principle as well. It turns out that the rate functions for upper large deviations coincide, but in general the rate functions for lower large deviations do not.
国家哲学社会科学文献中心版权所有