  The mesoscopic fluctuations of the absorption at optical transitions from a
low energy regular state to high energy chaotic states in an aggregate of
semiconductor quantum dots is studied. We provide a universal dependence of the
distribution of the absorption coefficient on the total number of dots and the
ratio of the level broadening to the level spacing. The distribution remain
broad even at large broadening, and the absorption spectrum should demonstrate
a strong sensitivity to weak magnetic field in the region of large and weak
absorption. The results can also apply to the absorption of Rydberg atoms in
strong magnetic field at the pre-threshold ionization.
