Tensor modes on the string theory landscape
  We attempt an estimate for the distribution of the tensor mode fraction $r$
over the landscape of vacua in string theory. The dynamics of eternal inflation
and quantum tunneling lead to a kind of democracy on the landscape, providing
no bias towards large-field or small-field inflation regardless of the class of
measure. The tensor mode fraction then follows the number frequency
distributions of inflationary mechanisms of string theory over the landscape.
We show that an estimate of the relative number frequencies for small-field vs
large-field inflation, while unattainable on the whole landscape, may be within
reach as a regional answer for warped Calabi-Yau flux compactifications of type
IIB string theory.
