Ruf, MatthiasZeppieri, Caterina Ida2023-04-252023-04-252023-04-252023-04-2110.1007/s00526-023-02476-9https://infoscience.epfl.ch/handle/20.500.14299/197173We study the limit behaviour of sequences of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands are ergodic and satisfy degenerate linear growth conditions. The latter involve suitable random, scale-dependent weight-functions. Under minimal assumptions on the integrand and on the weight-functions, we show that the sequence of functionals homogenizes to a non-degenerate deterministic functional defined on BV.text::journal::journal article::research article