In this article, we provide a characterization of a lower N-weighted Ricci curvature bound for N ∈] − ∞,1] ∪ [n,+∞] with ε-range in terms of a convexity of entropies over Wasserstein space.
|Publication status||Published - 2020 Sep 27|
- N-weighted Ricci curvature
- Optimal transport theory
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