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This paper present a construction and the analysis of a class of non-Gaussianpositive-definite matrix-valued homogeneous random fields with uncertainspectral measure for stochastic elliptic operators. Then the stochasticelliptic boundary value problem in a bounded domain of the 3D-space isintroduced and analyzed for stochastic homogenization.

Stochastic elliptic operators defined by non-gaussian random fields with uncertain spectrum