Quantitative stochastic homogenization of the G equation

Abstract

We prove a quantitative rate of homogenization for the G equation in a random environment with finite range of dependence. Using ideas from percolation theory, the proof bootstraps a result of Cardaliaguet and Souganidis, who proved qualitative homogenization in a more general ergodic environment.

arXiv comment17 pages, 1 figure, comments welcome! (fixed typos)