  The recent measurement of high energy extragalactic neutrinos by the IceCube
Collaboration has opened a new window to probe non-standard neutrino
properties. Among other effects, sterile neutrino altered dispersion relations
(ADRs) due to shortcuts in an extra dimension can significantly affect
astrophysical flavor ratios. We discuss two limiting cases of this effect,
first active-sterile neutrino oscillations with a constant ADR potential and
second an MSW-like resonant conversion arising from geodesics oscillating
around the brane in an asymmetrically warped extra dimension. We demonstrate
that the second case has the potential to suppress significantly the flux of
specific flavors such as $\nu_\mu$ or $\nu_\tau$ at high energies.
