Lyapunov exponents for the one-dimensional parabolic Anderson model with drift
Lyapunov exponents for the one-dimensional parabolic Anderson model with drift
We consider the solution to the one-dimensional parabolic Anderson model with homogeneous initial condition, arbitrary drift and a time-independent potential bounded from above. Under ergodicity and independence conditions we derive representations for both the quenched Lyapunov exponent and, more importantly, the $p$-th annealed Lyapunov exponents for all positive real $p$. …