Scholarlink

<p>We first transfer functional limit problems in random Dirichlet series to the corresponding problems in the weighted random walk via the Laplace transform and establish some functional limit theorems for the weighted random walk. Then, we derive the large deviation principle in the path space and the functional law of iterated logarithm for the random Dirichlet series.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Functional Large Deviation Principle and Functional Laws of Iterated Logarithm for Random Dirichlet Series

  • 期刊论文

  • 发表日期：

    2025年11月10日

查看全文
  • Fuqing Gao,
  • Xianjie Xia

摘要

We first transfer functional limit problems in random Dirichlet series to the corresponding problems in the weighted random walk via the Laplace transform and establish some functional limit theorems for the weighted random walk. Then, we derive the large deviation principle in the path space and the functional law of iterated logarithm for the random Dirichlet series.