  The flavor structure of the Standard Model may arise from random selection on
a landscape. In a class of simple models, called "Gaussian landscapes," Yukawa
couplings derive from overlap integrals of Gaussian zero-mode wavefunctions on
an extra-dimensional space. Statistics of vacua are generated by scanning the
peak positions of these wavefunctions, giving probability distributions for all
flavor observables. Gaussian landscapes can account for all of the major
features of flavor, including both the small electroweak mixing in the quark
sector and the large mixing observed in the lepton sector. We find that large
lepton mixing stems directly from lepton doublets having broad wavefunctions on
the internal manifold. Assuming the seesaw mechanism, we find the mass
hierarchy among neutrinos is sensitive to the number of right-handed neutrinos,
and can provide a good fit to neutrino oscillation measurements.
