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math.OA2026
Noncommutative majorization
Matthew Kennedy, Paul Skoufranis
We introduce a theory of noncommutative majorization that extends the classical majorization theory introduced by Hardy, Littlewood and Pólya to tuples of self-adjoint matrices tha…
math.OA2024
Central Limit Theorem for Tensor Products of Free Variables via Bi-Free Independence
Paul Skoufranis
In this paper, a connection between bi-free probability and the asymptotics of random quantum channels and tensor products of random matrices is established. Using bi-free matrix m…
math.OA2022
Non-Commutative Stochastic Processes and Bi-Free Probability
Paul Skoufranis
In this paper, a connection between bi-free probability and the theory of non-commutative stochastic processes is examined. Specifically it is demonstrated that the transition oper…