Quantitative stochastic homogenization of the G equation

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-Souganidis, who proved qualitative homogenization in a more general ergodic environment.

Automated summary

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-Souganidis, who proved qualitative homogenization in a more general ergodic environment.