English

Coarsen entropy inequalities and its applications in quantitative stochastic homogenization

Probability 2021-08-18 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2007.08839,
  title  = {Coarsen entropy inequalities and its applications in quantitative stochastic homogenization},
  author = {Anderson M. Hernandez},
  journal= {arXiv preprint arXiv:2007.08839},
  year   = {2021}
}

Comments

This file present a misleading in the main result about LSI