  We consider an inflating brane-world setup in which 4-dimensional
Lorentz-invariance is violated at high 3-momentum scale $P_{LV} \gg H$, where
$H$ is the inflationary Hubble parameter. We study massless scalar field in
this background as a model for cosmological perturbations. Towards the end of
inflation, the spectrum has both the standard, 4-dimensional part due to a
brane-localized mode, and exotic, bulk induced contribution. The suppression of
the latter is power-law only, $(H/P_{LV})^\alpha$, provided that there exist
bulk modes with energies $\omega \ll H$. Contrary to general expectations, the
exponent $\alpha$ may be smaller than 2, and even smaller than 1, depending on
details of the bulk geometry. Furthermore, the overall amplitude of the
bulk-induced perturbations is enhanced as compared to the standard part, so the
effects due to Lorentz-violation may dominate over the standard mechanism even
for $P_{LV} \gg H$.
