29 citations · 67 across the 12 of their papers we have counts for
4 papers · 1 filter
Matrix models for -free independence
Ian Charlesworth, Benoît Collins
We investigate tensor products of random matrices, and show that independence of entries leads asymptotically to -free independence, a mixture of classical and free in…
Analogues of Entropy in Bi-Free Probability Theory: Microstates
Ian Charlesworth, Paul Skoufranis
In this paper, we extend the notion of microstate free entropy to the bi-free setting. In particular, using the bi-free analogue of random matrices, microstate bi-free entropy is d…
Analogues of Entropy in Bi-Free Probability Theory: Non-Microstate
Ian Charlesworth, Paul Skoufranis
In this paper, we extend the notion of non-microstate free entropy to the bi-free setting. Using a diagrammatic approach involving bi-non-crossing diagrams, bi-free difference quot…
Free Stein Irregularity and Dimension
Ian Charlesworth, Brent Nelson
We introduce a free probabilistic quantity called free Stein irregularity, which is defined in terms of free Stein discrepancies. It turns out that this quantity is related via a s…