44 citations · 120 across the 27 of their papers we have counts for
4 papers · 2 filters
A Fock Space Model for Addition and Multiplication of C-free Random Variables
Mihai Popa
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
On the operator-valued analogues of the semicircle, arcsine and Bernoulli laws
Serban T. Belinschi, Mihai Popa, Victor Vinnikov
We study of the connection between operator valued central limits for monotone, Boolean and free probability theory, which we shall call the arcsine, Bernoulli and semicircle distr…
Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula
Mihai Popa, Victor Vinnikov
The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodules and non…
Infinite divisibility and a non-commutative Boolean-to-free Bercovici-Pata bijection
Serban T. Belinschi, Mihai Popa, Victor Vinnikov
We use the theory of fully matricial, or non-commutative, functions to investigate infinite divisibility and limit theorems in operator-valued non-commutative probability. Our main…