Large deviations for some corner growth models with inhomogeneity

摘要: We study an inhomogeneous generalization of the classical corner growth in which weights are exponentially distributed with random parameters. Our main interest is quenched and annealed large deviation properties last passage times. derive variational representations rate functions for right tail deviations. The function can be computed explicitly certain choices parameter distributions. present a mechanism n left In model these deviations have strictly greater than n. connected to through problem involving relative entropy. identify speed at decay zero near shape function.