Large Slow Roll Parameters in Single Field Inflation
  We initially consider two simple situations where inflationary slow roll
parameters are large and modes no longer freeze out shortly after exiting the
horizon, treating both cases analytically. We then consider applications to
transient phases where the slow roll parameters can become large, especially in
the context of the common `fast-roll' inflation frequently used as a mechanism
to explain the anomalously low scalar power at low $l$ in the CMB. These
transient cases we treat numerically. We find when $\epsilon$, the first slow
roll parameter, and only $\epsilon$ is large, modes decay outside the horizon,
and when $\delta$, the second slow roll parameter, is large, modes grow outside
the horizon. When multiple slow roll parameters are large the behavior in
general is more complicated, but we nevertheless show in the 'fast-roll'
inflation case, modes grow outside the horizon.
