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Oscillatory Breuer–Major theorem with application to the random corrector problem
Asymptotic Analysis ( IF 1.4 ) Pub Date : 2019-09-25 , DOI: 10.3233/asy-191575
David Nualart 1 , Guangqu Zheng 1
Affiliation  

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.

中文翻译:

振荡 Breuer-Major 定理在随机校正器问题中的应用

在本文中,我们提出了著名的 Breuer-Major 定理的振荡版本,该定理由随机校正器问题驱动。作为应用,我们能够证明关于随机校正器的高斯波动的新结果。我们还提供了该定理的一个变体,涉及齐次测度。
更新日期:2019-09-25
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