3 papers
math.OA2022
On Free Stein Dimension
Ian Charlesworth, Brent Nelson
We establish several properties of the free Stein dimension, an invariant for finitely generated unital tracial -algebras. We give formulas for its behaviour under direct sums a…
math.OA2019
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…
math.OA2019
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…