Random symmetric matrices with a constraint: the spectral density of random impedance networks.
We derive the mean eigenvalue density for symmetric Gaussian random N x N matrices in the limit of large N, with a constraint implying that the row sum of matrix elements should vanish. The result is shown to be equivalent to a result found recently for the average density of resonances in random impedance networks [Y.V. Fyodorov, J. Phys. A 32, 7429 (1999)]. In the case of banded matrices, the analytical results are compared with those extracted from the numerical solution of Kirchhoff equations for quasi-one-dimensional random impedance networks.
Stäring
J
J
School of Physics and Engineering Physics, Gothenburg University/Chalmers, SE-41296 Göteborg, Sweden.
Mehlig
B
B
Fyodorov
Yan V
YV
Luck
J M
JM