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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.OA2017
Multidimensional Free Poisson Limits on Free Stochastic Integral Algebras
Mingchu Gao, Junsheng Fang
In this paper, we prove four-moment theorems for multidimensional free Poisson limits on free Wigner chaos or the free Poisson algebra. We prove that, under mild technical conditio…