A new free entropy χ_chron^U, built from chronological microstates, is geodesic-concave and makes free heat evolution the Wasserstein gradient flow of entropy.
A sharp symmetrized free transport-entropy inequality for the semicircular law
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Free information geometry and the model theory of noncommutative stochastic processes
A new free entropy χ_chron^U, built from chronological microstates, is geodesic-concave and makes free heat evolution the Wasserstein gradient flow of entropy.