华东师范大学学报（自然科学版）Issue(3)：56-60,96,6.DOI:10.3969/j.issn.1000-5641.2012.03.009
无穷小非交换概率空间中的极限定理
Limit theorems in infinitesimal non-commutative probability spaces
崔汉哲 1薛以锋2
作者信息
- 1. 华东师范大学数学系,上海200241
- 2. 上海电机学院数理教学部,上海200240
- 折叠
摘要
Abstract
This paper proved the central limit theorems in infinitesimal non-commutative probability spaces using R transform under both one-dimension and multi-dimension cases. Also Poisson limit theorem was proved using the moments-cumulants formula. Lastly, the relation between the standard semicircular elements and free poisson elements was figured out by combinatorial analysis.关键词
无穷小非交换概率空间/中心极限定理/泊松极限定理Key words
infinitesimal non-commutative probability spaces/ central limit theorems/ Poisson limit theorem分类
数理科学引用本文复制引用
崔汉哲,薛以锋..无穷小非交换概率空间中的极限定理[J].华东师范大学学报（自然科学版）,2012,(3):56-60,96,6.
