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math.AP2026
A counterexample to McKean's conjecture for the Landau-Coulomb equation
Jonathan Junné, Raphael Winter, Havva Yoldaş
We disprove McKean's conjecture, which asserts that the entropy dissipation is monotone nonincreasing along solutions, or equivalently that the entropy is convex in time, for the s…
math.DG2026
Asymptotic mean value Laplacian on equiregular sub-Riemannian manifolds
Fabrice Baudoin, Jonathan Junné, David Tewodrose
Let be a smooth equiregular sub-Riemannian manifold equipped with a smooth positive measure . We study the small-scale limit of the metric-ball mean-value op…