  In lattice QCD, the Maximum Entropy Method can be used to reconstruct
spectral functions from euclidean correlators obtained in numerical
simulations. We show that at finite temperature the most commonly used
algorithm, employing Bryan's method, is inherently unstable at small energies
and give a modification that avoids this. We demonstrate this approach using
the vector current-current correlator obtained in quenched QCD at finite
temperature. Our first results indicate a small electrical conductivity above
the deconfinement transition.
