Kahler Moduli Inflation in Type IIB Compactifications: A random tumble
  through the Calabi-Yau landscape
  In this paper we present an initial exploration of the Calabi-Yau landscape
in the context of Kahler moduli inflation. We review how the slow-roll
requirement on the scalar potential translates to a geometric constraint on the
Kahler geometry of the vacuum. This constraint leads to a hard bound on the
moduli space geometry and we consider the effects of this constraint on the
string landscape that arises in type IIB string compactifications on an O3/O7
orientifold. Most notably we find that the inflationary constraint is
independent of the moduli space dimension and only 6.57% of geometries
inspected support high-scale Kahler moduli inflation.
