15 citations · 51 across the 14 of their papers we have counts for
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Curvature-dimension conditions for diffusions under time change
Bang-Xian Han, Karl-Theodor Sturm
We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension conditi…
The sharp -Poincaré inequality under the measure contraction property
Bang-Xian Han
We obtain sharp estimate on -spectral gaps, or equivalently optimal constant in -Poincaré inequalities, for metric measure spaces satisfying measure contraction property. We…
Sharp Poincaré inequalities under Measure Contraction Property
Bang-Xian Han, Emanuel Milman
We prove a sharp Poincaré inequality for subsets of (essentially non-branching) metric measure spaces satisfying the Measure Contraction Property , whose dia…
Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds
Bang-XIan Han
In this paper we investigate Lott-Sturm-Villani's synthetic lower Ricci curvature bound on Riemannian manifolds with boundary. We prove several measure rigidity results for some im…