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.
Addition of certain non-commuting random variables.Journal of Func- tional Analysis, 66(3):323–346, 1986
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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.