2 papers
math.AP2025
Exponential convergence for ultrafast diffusion equations with log-concave weights
Max Fathi, Mikaela Iacobelli
We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibri…
math.AP2024
Growth estimates on optimal transport maps via concentration inequalities
Max Fathi
We give an alternative proof and some extensions of results of Carlier, Figalli and Santambrogio on polynomial upper bounds on the Brenier map between probability measures under va…