On a general theorem of set theory leading to the Gibbs, Bose-Einstein, and Pareto distributions as well as to the Zipf-Mandelbrot law for the stock market

被引：39

作者：

Maslov, VP ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2005年 / 78卷 / 5-6期

关键词：

set theory; Gibbs distribution; Bose-Einstein distribution; Pareto distribution; Zipf-Mandelbrot law; stock market;

D O I：

10.1007/s11006-005-0186-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of density of a finite set is introduced. We prove a general theorem of set theory which refines the Gibbs, Bose-Einstein, and Pareto distributions as well as the Zipf law.

引用

页码：807 / 813

页数：7