2 papers
math.OC2026
On the minimizer of the barycentric isoperimetric ratio among connected planar sets
Chiara Gambicchia, Aldo Pratelli, Clara Torres-Latorre
Among connected, planar sets, the ratio between the isoperimetric deficit and the squared barycentric asymmetry is known to be bounded from below by a strictly positive constant (a…
math.FA2024
The sharp quantitative barycentric isoperimetric inequality for bounded sets
Chiara Gambicchia, Aldo Pratelli
We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the -D case recently proved in~\cite{BCH}.