This paper introduces a discrete-time stochastic game class on Z d, which plays the role of a
toy model for the well-known problem of stochastic homogenization of Hamilton–Jacobi …

We prove homogenization for a class of viscous Hamilton-Jacobi equations in the stationary
& ergodic setting in one space dimension. Our assumptions include most notably the …

We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the
form G (p)+ V (x, ω) for a wide class of stationary ergodic random media in one space …

We establish homogenization for nondegenerate viscous Hamilton-Jacobi equations in one
space dimension when the diffusion coefficient $ a (x,\omega)> 0$ and the Hamiltonian $ H …

STOCHASTIC HOMOGENIZATION OF NONCONVEX HAMILTON- JACOBI EQUATIONS IN
ONE DIMENSION A Dissertation Submitted to the Temple Univer Page 1 STOCHASTIC …