2 papers
math.AP2026
A dimension-free interpolation of Caffarelli's contraction theorem
Bader Ammari, Alessio Figalli
We prove global Lipschitz estimates for Brenier maps between probability measures on whose densities belong to the family $$ ρ_{U,\,p}=Z_{U,\, p}^{-1}\exp(-Θ_p(U)),…
math.AP2026
Regularized Brascamp-Lieb inequalities via Optimal Transport and Study of Equality Cases
Bader Ammari
We consider regularized Brascamp-Lieb inequalities using the theory of optimal transportation, more precisely an anisotropic version of Caffarelli's contraction theorem. Furthermor…