Generalized algebra within a nonextensive statistics

被引：185

作者：

Nivanen, L ^{[1
]}

Le Méhauté, A ^{[1
]}

Wang, QA ^{[1
]}

机构：

[1] Inst Super Mat Mans, F-72000 Le Mans, France

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 03期

关键词：

algebra; nonextensivity; generalized statistics;

D O I：

10.1016/S0034-4877(03)80040-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By considering generalized logarithm and exponential functions used in nonextensive statistics, the four usual algebraic operators: addition, subtraction, product and division, are generalized. The properties of the generalized operators are investigated. Some standard properties are preserved, e.g. associativity, commutativity and existence of neutral elements. On the contrary, the distributivity law and the opposite element are no more universal within the generalized algebra.

引用

页码：437 / 444

页数：8

共 43 条

[1] Axioms and uniqueness theorem for Tsallis entropy [J].