  Disorder on the string theory landscape may significantly affect dynamics of
eternal inflation leading to the possibility for some vacua on the landscape to
become dynamically preferable over others. We systematically study effects of a
generic disorder on the landscape starting by identifying a sector with
built-in disorder -- a set of de Sitter vacua corresponding to
compactifications of the Type IIB string theory on Calabi-Yau manifolds with a
number of warped Klebanov-Strassler throats attached randomly to the bulk part
of the Calabi-Yau. Further, we derive continuum limit of the vacuum dynamics
equations on the landscape. Using methods of dynamical renormalization group we
determine the late time behavior of the probability distribution for an
observer to measure a given value of the cosmological constant. We find the
diffusion of the probability distribution to significantly slow down in sectors
of the landscape where the number of nearest neighboring vacua for any given
vacuum is small. We discuss relation of this slow-down with phenomenon of
Anderson localization in disordered media.
