A limit theorem for additive functions defined on the symmetric group

被引：0

作者：

Eugenijus Manstavičius

机构：

[1] Vilnius University,Faculty of Mathematics and Informatics

[2] Vilnius University,Institute of Mathematics and Informatics

来源：

Lithuanian Mathematical Journal | 2011年 / 51卷

关键词：

random permutation; cycle structure; additive function; multiplicative function; slowly varying function; primary 60C05; secondary 05A16, 20P05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We are concerned with the value distribution problem of additive functions defined on the symmetric group endowed with the uniform (Haar) measure. For such a function, normalized by a slowly varying sequence, we establish necessary and sufficient conditions for the weak convergence of its distribution to a limit law.

引用

页码：220 / 232

页数：12

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