12 citations · 37 across the 11 of their papers we have counts for
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math.PR2013★ 2 cited
Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates
Kazumasa Kuwada
The duality in Bakry-Émery's gradient estimates and Wasserstein controls for heat distributions is extended to that in refined estimates in a high generality. As a result, we find…
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…