3 papers
math.OA2018
Compound Bi-free Poisson Distributions
Mingchu Gao
In this paper, we study compound bi-free Poisson distributions for {\sl two-faced families of random variables}. We prove a Poisson limit theorem for compound bi-free Poisson distr…
math.OA2017
On Bi-free Multiplicative Convolution
Mingchu Gao
In this paper, we study the partial bi-free -transform of a pair of random variables, and the -transform of the matrix-valued random variable $\left(\begi…
math.OA2016
Multidimensional Compound Poisson Distributions in Free Probability
Guimei An, Mingchu Gao
Inspired by R. Speicher's multidimensional free central limit theorem and semicircle families, we prove an infinite dimensional compound Poisson limit theorem in free probability,…