Abstract: |
In this talk I present some recent results concerning the stochastic homogenization of a class of free-discontinuity functionals depending on vector-valued functions u which can be discontinuous across hypersurfaces depending on u. We show that, under the usual assumptions of stationarity and ergodicity, the homogenization procedure gives rise to a (homogeneous) deterministic free-discontinuity functional belonging to the same class. |
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