On the Spectrum of Multi-Space Euclidean Random Matrices
Disordered Systems and Neural Networks
2020-05-27 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.2003.07590,
title = {On the Spectrum of Multi-Space Euclidean Random Matrices},
author = {Aldo Battista and Remi Monasson},
journal= {arXiv preprint arXiv:2003.07590},
year = {2020}
}