A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential

Christopher Janjigian, Sergazy Nurbavliyev, Firas Rassoul-Agha

We prove a shape theorem and derive a variational formula for the limiting quenched Lyapunov exponent and the Green's function of random walk in a random potential on a square latt…