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math.AP2026
Absence of non-compactly supported minimisers for the Lieb-Oxford bound
Simone Di Marino, Rodrigue Lelotte
We prove the minimisers of the Lieb-Oxford bound (if any) for a fixed (and finite) number of particles are necessarily compactly supported, extending a result proved by…
math.OC2026
On the stability of proximal operators in Wasserstein spaces under different notions of convexity
Simone Di Marino, Sara Farinelli, Emanuele Naldi
The proximal operator is a fundamental tool in variational analysis and optimization. In the setting of a Hilbert space, given a proper, lower semicontinuous convex functional, its…