On the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model

We provide an explicit lower bound for the the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model. In particular, for the Anderson model on a strip of width $W$ , the lower bound is proportional to $W^{-\unicode[STIX]{x1D716}}$ , for any $\unicode[STIX]{x1D716}>0$ . This bound is consistent with the fact that the lowest non-negative Lyapunov exponent is conjectured to have a lower bound proportional to $W^{-1}$ .