2 papers
math.AP2026
On the effective sharp stability of the Faber-Krahn inequality
André Guerra, João Miguel Machado, João P. G. Ramos
We prove the sharp quantitative Faber--Krahn inequality with a computable dimensional constant, resolving a problem posed by Brasco and De Philippis~\cite[Open Problem~2]{brasco201…
math.FA2025
Quantitative stability for the Brascamp-Lieb inequality and moment measures
João Miguel Machado, João P. G. Ramos
We develop a quantitative stability theory for moment measures based on a new sharp uniform stability principle for the Brascamp-Lieb variance inequality in terms of the -dist…