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We study the predictions of anomalous inflationary models on
the abundance of structures in large scale structure observations. The anomalous features encoded in primordial curvature perturbation power spectrum are (a): localized feature in momentum space, (b): hemispherical asymmetry and(c): statistical anisotropies. We present a model-independent expression relating the number den-sity of structures to the changes in the matter density variance. Models with localized feature canalleviate the tension between observations and numerical simulations of cold dark matter structures on galactic scales as a possible solution to the missing sate llite problem. In models with hemispher-ical asymmetry we show that the abundance of structures becomes asymmetric depending on the
direction of observation to sky. In addition, we study the effects of scale-dependent dipole ampli-
tude on the abundance of structures. Using the quasars data a
nd adopting the power-law scaling knAÃ¯Â¿Â½??1 for the amplitude of dipole we find the upper boundnA<0. 6 for the spectral index of the dipole asymmetry. In all cases there is a critical mass scale
Mc in which for M < Mc(M > Mc)the enhancement in variance induced from anomalous feature decreases (increases) the abundance of dark matter structures in Universe
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