15 citations · 33 across the 19 of their papers we have counts for
3 papers · 2 filters
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the c…
Ornstein-Uhlenbeck semigroups in infinite dimension
Alessandra Lunardi, Diego Pallara
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension, and their generators. We start from the classical Ornstein-Uhlenbeck semigroup in Wiener spaces an…
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
Alessandro Carbotti, Sebastiano Don, Diego Pallara +1
We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in…