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.
Covering entropy for types in tracial W ∗-algebras.Journal of Logic and Analysis, 15(2):1–68
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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.