The measure theoretic generalization of oriented submanifolds of R^N of any dimension, are currents. One the most important theorem is the compactness criterium of Federer-Fleming. We try to prove and...
Homogenization of Hamilton-Jacobi equations with non-convex Hamiltonians in stationary ergodic random media is a largely open problem. In the last 5 years several classes of examples and counter-examp...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson clouds in the plane we obtain an isotropic perimeter energy with a surface tension characterised by an asymptotic f...
