2018 Volume 24 Issue 1 Pages 49-58
This proceeding is based on the lecture given by the author at GSIS international winter school 2017 on ``Stochastic homogenization and its applications'' at Tohoku University. The main purpose of this proceeding is to present ideas of the works of [5, 6] on (periodic) homogenization for the Hamilton–Jacobi equation, and give a recent result of [16] on the selection problem for the cell problem as simply as possible.