Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization

Abstract

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 one-dimensional elliptic equations with highly oscillatory random coefficients displaying long-range dependence, by proving convergence to stochastic integrals with respect to Hermite processes.

revised, illustration of how to construct the random potential $a(x)$ is added

Cited by in corpus (3)

• Quantitative estimates in stochastic homogenization for correlated coefficient fields
• Oscillatory Breuer-Major theorem with application to the random corrector problem
• Fluctuations in 1D stochastic homogenization of pseudo-elliptic equations with long-range dependent potentials