S. Cito

collaborators

2 papers

math.AP2021

Asymptotics of the $s$ -fractional Gaussian perimeter as $s \to 0^{+}$

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

We study the asymptotic behaviour of the renormalised $s$ -fractional Gaussian perimeter of a set $E$ inside a domain $Ω$ as $s \to 0^{+}$ . Contrary to the Euclidean case, as the Gauss…

math.AP2021

Gamma-convergence of fractional Gaussian perimeter

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

We prove the $Γ$ -convergence of the renormalised fractional Gaussian $s$ -perimeter to the Gaussian perimeter as $s \to 1^{-}$ . Our definition of fractional perimeter comes from that o…

Asymptotics of the s-fractional Gaussian perimeter as s→0+

Gamma-convergence of fractional Gaussian perimeter

Asymptotics of the $s$ -fractional Gaussian perimeter as $s \to 0^{+}$