Oscillatory Breuer–Major theorem with application to the random corrector problem-Reference-Cited by-同舟云学术

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

Published:2020-09-07 Issue:3-4 Volume:119 Page:281-300
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Nualart David¹,Zheng Guangqu¹

Affiliation:

1. Mathematics Department, University of Kansas, Snow Hall, 1460 Jayhawk blvd, Lawrence, KS 66045-7594, United States. E-mails: nualart@ku.edu, zhengguangqu@gmail.com

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.

Publisher

IOS Press

Subject

General Mathematics

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