Stochastic homogenization of level-set convex Hamilton-Jacobi equations
  We present a simple new proof for the stochastic homogenization of quasiconvex (level-set convex) Hamilton-Jacobi equations set in stationary ergodic environments. Our approach, which is new even in the convex case, yields more information about the qualitative behavior of the effective nonlinearity. 
Scott N. Armstrong and Panagiotis E. Souganidis
math.AP