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.
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页码：220 / 232
页数：12
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