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20102025
most citedRicci curvature of finite Markov chains via convexity of the entropy

128 citations · 197 across the 16 of their papers we have counts for

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math.DG2013★ 12 cited

On the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces

Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm

We prove the equivalence of the curvature-dimension bounds of Lott-Sturm-Villani (via entropy and optimal transport) and of Bakry--Émery (via energy and Γ_2$-calculus) in complete…