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arXiv 2007.088392020-07math.PR

Coarsen entropy inequalities and its applications in quantitative stochastic homogenization

Anderson M. Hernandez

备注：: This file present a misleading in the main result about LSI

英文摘要：

In this work, we study the validity of Entropy inequalities under decorrelation assumptions at large-scales, and also we study the problem of Weighted Meyers estimate in perforated domains. As a consequence, we obtain the hypercontractivity of correctors with Neumann boundary conditions.

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