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math.OA2019★ 1 cited
The atoms of the free additive convolution of two operator-valued distributions
Serban Belinschi, Hari Bercovici, Weihua Liu
Suppose that and are two selfadjoint random variables that are freely independent over an operator algebra . We describe the possible operator atoms…
math.OA2019★ 7 cited
An Operad of Non-commutative Independences Defined by Trees
David Jekel, Weihua Liu
We study -ary non-commutative notions of independence, which are given by trees and which generalize free, Boolean, and monotone independence. For every rooted subtree $\mathcal…