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Permissible random geometries for homogenization

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Permissible random geometries for homogenization
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17
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CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
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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.