6 citations · 6 across the 2 of their papers we have counts for
5 papers · 1 filter
A Compactness Theorem for functions on Poisson point clouds
Marco Caroccia
In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local -Dirichlet energy: the novelty consis…
On the Gamma convergence of functionals defined over pairs of measures and energy-measures
Marco Caroccia, Riccardo Cristoferi
A novel general framework for the study of -convergence of functionals defined over pairs of measures and energy-measures is introduced. This theory allows us to identify the $Γ…
On the integral representation of variational functionals on
Marco Caroccia, Matteo Focardi, Nicolas Van Goethem
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with…
Mumford-Shah functionals on graphs and their asymptotics
Marco Caroccia, Antonin Chambolle, Dejan Slepčev
We consider adaptations of the Mumford-Shah functional to graphs. These are based on discretizations of nonlocal approximations to the Mumford-Shah functional. Motivated by applica…
The Cheeger N-problem in terms of BV functions
Marco Caroccia, Samuel Littig
We reformulate the Cheeger N partition problem as a minimization among a suitable class of BV functions. This allows us to obtain a new existence proof for the Cheeger-N-problem. M…