169 citations · 611 across the 39 of their papers we have counts for
4 papers · 2 filters
The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations
Antoine Gloria, Felix Otto
We consider uniformly elliptic coefficient fields that are randomly distributed according to a stationary ensemble of a finite range of dependence. We show that the gradient and fl…
Bounded correctors in almost periodic homogenization
Scott Armstrong, Antoine Gloria, Tuomo Kuusi
We show that certain linear elliptic equations (and systems) in divergence form with almost periodic coefficients have bounded, almost periodic correctors. This is proved under a n…
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…
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…