Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one   space dimension
  We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed. 
S. N. Armstrong, H. V. Tran, Y. Yu
math.AP math.PR