We consider the discrete Laplace operator $\Delta^{(N)}$ on
Erd\H{o}s--R\'{e}nyi random graphs with $N$ vertices and edge probability
$p/N$. We are interested in the limiting spectral properties of $\Delta^{(N)}$
as $N\to\infty$ in the subcritical regime $0
@article{0502054,
author = {Khorunzhiy, Oleksiy and Kirsch, Werner and M\"uller, Peter},
title = {Lifshitz tails for spectra of Erd\H{o}s--R\'{e}nyi random graphs},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0502054}
}
Khorunzhiy, Oleksiy; Kirsch, Werner; Müller, Peter. Lifshitz tails for spectra of Erd\H{o}s--R\'{e}nyi random graphs. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502054/