  We consider the additive superimposition of an extensive number of
independent Euclidean Random Matrices in the high-density regime. The resolvent
is computed with techniques from free probability theory, as well as with the
replica method of statistical physics of disordered systems. Results for the
spectrum and eigenmodes are shown for a few applications relevant to
computational neuroscience, and are corroborated by numerical simulations.

Disordered Systems and Neural Networks;Statistical Mechanics