An Analogue of the Levy-Hincin Formula for Bi-Free Infinitely Divisible Distributions

被引:0
|
作者
Gu, Yinzheng [1 ]
Huang, Hao-Wei [1 ,2 ]
Mingo, James A. [1 ]
机构
[1] Queens Univ, Dept Math & Stat, Jeffery Hall, Kingston, ON K7L 3N6, Canada
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
基金
加拿大自然科学与工程研究理事会;
关键词
Bi-free convolution; bi-free limit theorem; bi-free infinitely divisible distributions; RANDOM-VARIABLES; FREE CONVOLUTION; FREE PROBABILITY; MOMENT PROBLEMS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we derive the bi-free analogue of the Levy-Hinsein formula for compactly supported planar probability measures that are infinitely divisible with respect to the additive bi-free convolution introduced by Voiculescu. We also provide examples of bi-free infinitely divisible distributions with their bi-free Levy-Hinein representations. Furthermore, we construct the bi-free Levy processes and the additive bi-free convolution semigroups generated by compactly supported planar probability measures.
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页码:1795 / 1831
页数:37
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