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math.AP2026
Quantitative stability in distribution for the Sobolev inequality under curvature dimension condition
Max Fathi, Ivan Yuri Violo
The goal of this note is to investigate quantitative stability properties of the critical Sobolev inequality in metric measure spaces. Assuming that the optimal c…
math.AP2025
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…