A new barycenter-based curvature-dimension condition, BCD(K,∞), is defined and shown to follow from EVI gradient-flow theory on RCD, Wiener, and configuration spaces.
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Barycenter curvature-dimension condition for extended metric measure spaces
A new barycenter-based curvature-dimension condition, BCD(K,∞), is defined and shown to follow from EVI gradient-flow theory on RCD, Wiener, and configuration spaces.