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Random impedance networks are widely used as a model to describe plasmonresonances in disordered metal-dielectric and other two-componentnanocomposites. In the present work, the spectral properties of resonances inrandom networks are studied within the framework of the random matrix theory.We have shown that the appropriate ensemble of random matrices for theconsidered problem is the Jacobi ensemble (the MANOVA ensemble). The obtainedanalytical expressions for the density of states in such resonant networks showa good agreement with the results of numerical simulations in a wide range ofmetal filling fractions $0<p<1$. A correspondence with the effective mediumapproximation is observed.

Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocomposites