  We develop the relation between de Sitter holography and inflation in detail,
with particular attention to cosmic density perturbations. We set up the
Hamilton-Jacobi formalism to present a systematic treatment of the logarithmic
corrections to a scale invariant spectrum. Our computations can be interpreted
without reference to holography, as strong infra-red effects in gravity. This
point of view may be relevant for the fine-tuning problems inherent to
inflation.
