Mingchu Gao

activity

20102018

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math.OA2018

$R$ -diagonal and $η$ -diagonal Pairs of Random Variables

Mingchu Gao

This paper is devoted to studying $R$ -diagonal and $η$ -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…

R-diagonal and η-diagonal Pairs of Random Variables

Non-Gaussian Random Matrix Models for Two-faced Families of Random Variables Having Bi-free Central Limit Distributions

Compound Bi-free Poisson Distributions

$R$ -diagonal and $η$ -diagonal Pairs of Random Variables