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arXiv 1901.05035math-phmath.APmath.MP
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定量随机均匀化的非正式介绍

An informal introduction to quantitative stochastic homogenization

Jean-Christophe Mourrat

摘要:

具有随机系数的散度型算子在大尺度上均匀化。在过去的十年中,集中精力的研究工作,把这个渐近的声明,以量化的估计。本文的目的是回顾一种基于重整化思想的方法。讨论是高度非正式的,并指出了数学上精确的陈述。

英文摘要:

Divergence-form operators with random coefficients homogenize over large scales. Over the last decade, an intensive research effort focused on turning this asymptotic statement into quantitative estimates. The goal of this note is to review one approach for doing so based on the idea of renormalization. The discussion is highly informal, with pointers to mathematically precise statements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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