Theorems 1.8 and 1.11 of  state that if Lσ is sufficiently large (that is, if there is enough noise in the system), then the Lyapunov exponents are positive. In this sense, both theorems are correct. However, the quantitative bounds on the Lyapunov exponents are not correctly derived and need to be adjusted. We do this here, and also describe how to slightly improve Condition 1.10 of that paper in this particular context.
- Lévy processes
- spatially-colored homogeneous noise
- stochastic heat equation