Oscillatory Breuer-Major theorem with application to the random corrector problem

David Nualart; Guangqu Zheng

doi:10.3233/asy-191575

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arXiv · 1904.09467

Oscillatory Breuer-Major theorem with application to the random corrector problem

David Nualart·Guangqu Zheng

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Abstract

In this paper, we present an oscillatory version of the celebrated Breuer-Major theorem that is motivated by the random corrector problem. As an application, we are able to prove new results concerning the Gaussian fluctuation of the random corrector. We also provide a variant of this theorem involving homogeneous measures.

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David Nualart, Guangqu Zheng. 2019-04-20. Oscillatory Breuer-Major theorem with application to the random corrector problem. https://doi.org/10.3233/asy-191575

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