  We compute spectral densities of momentum and R-charge correlators in thermal
$\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For
$\omega \sim T$ and smaller, the spectral density differs markedly from
perturbation theory; there is no kinetic theory peak. For large $\omega$, the
spectral density oscillates around the zero-temperature result with an
exponentially decreasing amplitude. Contrast this with QCD where the spectral
density of the current-current correlator approaches the zero temperature
result like $(T/\omega)^4$. Despite these marked differences with perturbation
theory, in Euclidean space-time the correlators differ by only $\sim 10%$ from
the free result. The implications for Lattice QCD measurements of transport are
discussed.
