A novel free entropy functional χ_chron^U is defined using chronological formulas that is concave along Wasserstein geodesics and whose heat evolution satisfies the evolution variational inequality as the metric gradient flow.
Dykema,Exactness of reduced amalgamated free productC ∗-algebras, Forum Math.16(2004), no
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Proposes a random matrix analogue of the Akemann-Ostrand property for free groups and that random embeddings of L(F_2) into matrix ultraproducts are existential.
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Free information geometry and the model theory of noncommutative stochastic processes
A novel free entropy functional χ_chron^U is defined using chronological formulas that is concave along Wasserstein geodesics and whose heat evolution satisfies the evolution variational inequality as the metric gradient flow.
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Questions on the structure of random embeddings of $L(\mathbb{F}_2)$
Proposes a random matrix analogue of the Akemann-Ostrand property for free groups and that random embeddings of L(F_2) into matrix ultraproducts are existential.