Contents Online
Mathematical Research Letters
Volume 12 (2005)
Number 4
Semicircle law and freeness for random matrices with symmetries or correlations
Pages: 531 – 542
DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n4.a7
Authors
Abstract
For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.
Published 1 January 2005