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 density of structures to the changes in the matter density variance .
Models with localized feature can alleviate the tension between observations and numerical simulations of cold dark matter structures on galactic scales as a possible solution to the missing satellite problem .
In models with hemispherical 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 amplitude on the abundance of structures .
Using the quasars data and adopting the power-law scaling k ^ { n _ { A } -1 } for the amplitude of dipole we find the upper bound n _ { A } < 0.6 for the spectral index of the dipole asymmetry .
In all cases there is a critical mass scale M _ { c } in which for M < M _ { c } ( M > M _ { c } ) the enhancement in variance induced from anomalous feature decreases ( increases ) the abundance of dark matter structures in Universe .