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

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

DOI: https://doi.org/10.19195/0208-4147.38.2.2
Ivan Nourdin
Google Scholar Ivan Nourdin
Atef Lechiheb
Google Scholar Atef Lechiheb
Guangqu Zheng
Google Scholar Guangqu Zheng
Ezzedine Haouala
Google Scholar Ezzedine Haouala
Publikacja:

Abstrakt

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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