On Non-slow Roll Inflationary Regimes
  We summarize our work on constant roll inflationary models. It was understood
recently that constant roll inflation, in a regime beyond the slow roll
approximation, can give models that are in agreement with the observational
constraints. We describe a new class of constant roll inflationary models and
investigate the behavior of scalar perturbations in them. We also comment on
other non-slow roll regimes of inflation.
