Atef Lechiheb, I. Nourdin, Guangqu Zheng, Ezedine Haouala
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Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization
This paper deals with the asymptotic behavior of random oscillatory integrals in the presence of long-range dependence. As a byproduct, we solve the corrector problem in random homogenization of onedimensional elliptic equations with highly oscillatory random coefficients displaying long-range dependence, by proving convergence to stochastic integrals with respect to Hermite processes.
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