Abstract
The connection between the size and shape distribution of quantum dots (QDs) and the density of electron states is analyzed. It is shown that, in an array of nonidentical QDs, the density of states in the vicinity of the ground level takes the form of an asymmetric peak whose shape and position are determined by the statistical parameters of the array (equilibrium radius, as well as variance and asymmetry of the size distribution of the QDs). General relationships between these parameters and the shape of the peak are determined.
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