174 citations
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Showing 2015 · math.APShow all
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math.AP2015★ 36 cited
Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
Mitia Duerinckx, Antoine Gloria
We consider the well-travelled problem of homogenization of random integral functionals. When the integrand has standard growth conditions, the qualitative theory is well-understoo…
math.AP2015★ 29 cited
Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas
Mitia Duerinckx, Antoine Gloria
This paper is concerned with the behavior of the homogenized coefficients associated with some random stationary ergodic medium under a Bernoulli perturbation. Introducing a new fa…