7 citations · 28 across the 11 of their papers we have counts for
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math.OA2018
Relations between convolutions and transforms in operator-valued free probability
Weihua Liu
We introduce a class of independence relations, which include free, Boolean and monotone independence, in operator valued probability. We show that this class of independence relat…
math.OA2018★ 3 cited
Operator valued random matrices and asymptotic freeness
Weihua Liu
We show that the limit laws of random matrices, whose entries are conditionally independent operator valued random variables having equal second moments proportional to the size of…
math.OA2018★ 4 cited
Free-free-Boolean independence for triples of algebras
Weihua Liu
In this paper, we introduce the notion of free-free-Boolean independence relation for triples of algebras. We define free-free-Boolean cumulants ans show that the vanishing of mixe…