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math.OA2015
Poisson Processes in Free Probability
Guimei An, Mingchu Gao
We prove a multidimensional Poisson limit theorem in free probability, and define joint free Poisson distributions in a non-commutative probability space. We define (compound) free…
math.OA2015
Two-faced Families of Non-commutative Random Variables Having Bi-free Infinitely Divisible Distributions
Mingchu Gao
We study two-faced families of random variables having bi-free infinitely divisible distributions. We prove a limit theorem of the sums of bi-free two-faced pairs of random variabl…