Generalizes Lott-Villani entropy convexity to variable-exponent Wasserstein spaces via a modified Rényi entropy that restores Bakry-Émery curvature and yields robust functional inequalities.
Santarcangelo,Independence of synthetic Curvature Dimension conditions on transport distance exponent, arXiv:2007.10980 (2020)
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Variable Exponent Wasserstein Spaces: Stability of Entropy Convexity and Modified R\'enyi Entropy
Generalizes Lott-Villani entropy convexity to variable-exponent Wasserstein spaces via a modified Rényi entropy that restores Bakry-Émery curvature and yields robust functional inequalities.