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math.OA2026
Compact quantum metric spaces from free probability
David Jekel, Therese Basa Landry
We study quantum metric space structures on operator algebras arising from free probability, namely those associated to -Gaussians and free Gibbs laws for convex potentials. We…
math.OA2026
Free information geometry and the model theory of noncommutative stochastic processes
David Jekel
We study entropy and optimal transport theory in the free probabilistic setting motivated by the large- theory of random tuples of matrices. We define a new version of free entr…