compact support 1functional analysis 1lieb-oxford bound 1many-body quantum systems 1variational methods 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Absence of non-compactly supported minimisers for the Lieb-Oxford bound
Simone Di Marino, Rodrigue Lelotte
The paper proves that any minimiser of the Lieb‑Oxford bound for a fixed finite number of particles must be compactly supported, extending a known result from the one‑particle case…
math.OC2026
A land of monotone plenty, bis repetita: from classical to weak optimal transport
Virginie Ehrlacher, Rodrigue Lelotte, Luca Nenna
The celebrated c-cyclical monotonicity property is shown to boil down to the zeroth-order optimality condition for the optimal transport problem. More precisely, we show that optim…
math-ph2025
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost
Rodrigue Lelotte
We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.