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For a family of second-order elliptic systems in divergence form with rapidlyoscillating almost-periodic coefficients, we obtain estimates for approximatecorrectors in terms of a function that quantifies the almost periodicity of thecoefficients. The results are used to investigate the problem of convergencerates. We also establish uniform H\"older estimates for the Dirichlet problemin a bounded $C^{1, \alpha}$ domain.

Convergence Rates and H\"older Estimates in Almost-Periodic Homogenization of Elliptic Systems