3 papers
math.AP2026
-convergence and stochastic homogenization for functionals in the -free setting
Gianni Dal Maso, Rita Ferreira, Irene Fonseca
We obtain a compactness result for -convergence of integral functionals defined on -free vector fields. This is used to study homogenization problems for these fun…
math.AP2026
Asymptotic analysis of higher-order perturbations of the Perona--Malik functional
Andrea Braides, Irene Fonseca
The Gamma-limit of higher-order singular perturbations of the Perona-Malik functional is analyzed. The energies considered combine the critically scaled logarithmic term with a k-t…
math.OC2025
Monotonicity of the jump set and jump amplitudes in one-dimensional TV denoising
Riccardo Cristoferi, Rita Ferreira, Irene Fonseca +1
We revisit the classical problem of denoising a one-dimensional scalar-valued function by minimizing the sum of an fidelity term and the total variation, scaled by a regulari…