An informal introduction to quantitative stochastic homogenization

Jean-Christophe Mourrat · Journal of Mathematical Physics · 2019

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.

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