2 papers
math.AP2026
Homogenisation of phase-field functionals with linear growth
Francesco Colasanto, Matteo Focardi, Caterina Ida Zeppieri
We propose a first rigorous homogenisation procedure in image-segmentation models by analysing the relative impact of (possibly random) fine-scale oscillations and phase-field regu…
math.AP2026
Stochastic homogenization of fractional obstacle problems
Francesco Deangelis, Matteo Focardi, Caterina Ida Zeppieri
We prove a stochastic homogenization result for a class of \emph{nonlinear} and \emph{nonlocal} variational problems in domains with many small randomly distributed (bilateral) obs…