3 papers
math.OA2018
-diagonal and -diagonal Pairs of Random Variables
Mingchu Gao
This paper is devoted to studying -diagonal and -diagonal pairs of random variables. We generalize circular elements to the bi-free setting, defining bi-circular element pair…
math.OA2018
Non-Gaussian Random Matrix Models for Two-faced Families of Random Variables Having Bi-free Central Limit Distributions
Mingchu Gao
In this paper, we construct random two-faced families of matrices with non-Gaussian entries to approximate a two-faced family of random variables having a bi-free central limit dis…
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…