吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (04): 844-848.

• 数学 • 上一篇    下一篇

最长增加子列长度精确渐近性的一般结果

赵力   

  1. 吉林师范大学 数学学院, 吉林 四平 136000
  • 收稿日期:2018-12-17 出版日期:2019-07-26 发布日期:2019-07-11
  • 通讯作者: 赵力 E-mail:zhaoli0307@163.com

General Result of Precise Asymptotics for Length of Longest Increasing Subsequences

ZHAO Li   

  1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China
  • Received:2018-12-17 Online:2019-07-26 Published:2019-07-11
  • Contact: ZHAO Li E-mail:zhaoli0307@163.com

摘要: 利用最长增加子列长度的中心极限定理和尾概率不等式及TracyWisdom分布的性质, 对相当广泛的一类边界函数和拟权函数, 给出其矩完全收敛性的精确渐近性的一般结果.

关键词: 最长增加子列, TracyWisdom分布, 矩完全收敛性, 精确渐近性, 一般结果

Abstract: By using the central limit theorem and the inequalities of the tail probability for the length of the longest increasing subsequence and properties of the TracyWisdom distribution, the author gave a general result of precise asymptotics in complete moment convergence for the length of the longest increasing subsequence for more general boundary functions and quasiweight functions.

Key words: longest increasing subsequence, TracyWisdom distribution, complete moment convergence, [JP] precise asymptotics, general result

中图分类号: 

  • O211.4