14 citations · 22 across the 4 of their papers we have counts for
4 papers
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…
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…
Ground state energy is not always convex in the number of electrons
Simone Di Marino, Mathieu Lewin, Luca Nenna
We provide the first counterexample showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. T…
The adiabatic strictly-correlated-electrons functional: kernel and exact properties
Giovanna Lani, Simone di Marino, Augusto Gerolin +2
We investigate a number of formal properties of the adiabatic strictly-correlated electrons (SCE) functional, relevant for time-dependent potentials and for kernels in linear respo…