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Article type: Research Article
Authors: Bourgeat, A. | Piatnitski, A.
Affiliations: Université Jean Monnet, 23 rue du Dr. P. Michelon, 42023 Saint‐Etienne Cedex 02, France | P.N. Lebedev Physical Institute, Russian Academy of Sciences, Leninsky pr. 53, Moscow 117924, Russia
Abstract: The work is giving estimations of the discrepancy between solutions of the initial and the homogenized problems for a one‐dimensional second‐order elliptic operators with random coefficients satisfying strong or uniform mixing conditions. We obtain several sharp estimates in terms of the corresponding mixing coefficient.
Keywords: Stochastic homogenization, random operators, moderate deviations
Journal: Asymptotic Analysis, vol. 21, no. 3‐4, pp. 303-315, 1999
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