An informal introduction to quantitative stochastic homogenization

J. C. Mourrat

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number031506
JournalJournal of Mathematical Physics
Issue number3
StatePublished - Mar 1 2019

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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