Berardo Ruffini

Barycentric Stability of Nonlocal Perimeters: the Convex Case

We establish a sharp form of a nonlocal quantitative isoperimetric inequality involving the barycentric asymmetry for convex sets. This result can be seen as the nonlocal analogue of the one obtained by B. Fuglede [Lower estimate of the isoperimetric deficit of convex domains in...