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Hauptverfasser: Armstrong, Scott, Kuusi, Tuomo
Format: Preprint
Veröffentlicht: 2022
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Online-Zugang:https://arxiv.org/abs/2210.06488
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author Armstrong, Scott
Kuusi, Tuomo
author_facet Armstrong, Scott
Kuusi, Tuomo
contents We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields.
format Preprint
id arxiv_https___arxiv_org_abs_2210_06488
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Elliptic homogenization from qualitative to quantitative
Armstrong, Scott
Kuusi, Tuomo
Analysis of PDEs
Probability
We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation also contains new results, such as optimal estimates (both in terms of stochastic moments and scaling of the error) for coefficient fields which are local functions of Gaussian random fields.
title Elliptic homogenization from qualitative to quantitative
topic Analysis of PDEs
Probability
url https://arxiv.org/abs/2210.06488