3 papers
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…
math.SP2023
Pleijel nodal domain theorem in non-smooth setting
Nicolò De Ponti, Sara Farinelli, Ivan Yuri Violo
We prove the Pleijel theorem in non-collapsed RCD spaces, providing an asymptotic upper bound on the number of nodal domains of Laplacian eigenfunctions. As a consequence, we obtai…
math.DG2020
Indeterminacy estimates and the size of nodal sets in singular spaces
Fabio Cavalletti, Sara Farinelli
We obtain the sharp version of the uncertainty principle recently introduced in [47], and improved by [13], relating the size of the zero set of a continuous function having zero m…