Average density of states for Hermitian Wigner matrices |
| |
Authors: | Anna Maltsev Benjamin Schlein |
| |
Institution: | Institute of Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany |
| |
Abstract: | We consider ensembles of N×N Hermitian Wigner matrices, whose entries are (up to the symmetry constraints) independent and identically distributed random variables. Assuming sufficient regularity for the probability density function of the entries, we show that the expectation of the density of states on arbitrarily small intervals converges to the semicircle law, as N tends to infinity. |
| |
Keywords: | Wigner?s semicircle law Universality Average density of states |
本文献已被 ScienceDirect 等数据库收录! |