Leibniz MMS Days 2024 - Abstract

Heida, Martin

Permissible random geometries for homogenization

We shed light onto the question which type of random geometries will allow to use our toolbox of analytical two-scale methods and the various variational methods for analytical homogenization. It turns out that this property is determined by the expectation of several "local" quantities: Lipschitz constant, Lipschitz radius, "Voronoi" connectivity and pathwise connectivity.