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Article type: Research Article
Authors: Nualart, David | Zheng, Guangqu; *
Affiliations: Mathematics Department, University of Kansas, Snow Hall, 1460 Jayhawk blvd, Lawrence, KS 66045-7594, United States. E-mails: [email protected], [email protected]
Correspondence: [*] Corresponding author. E-mail: [email protected].
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.
Keywords: Oscillatory integral, Breuer–Major theorem, Malliavin calculus, random homogenization
DOI: 10.3233/ASY-191575
Journal: Asymptotic Analysis, vol. 119, no. 3-4, pp. 281-300, 2020
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