caa a22 4500 445391375 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10955-011-0271-2 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0271-2 The Integrated Density of States of the Random Graph Laplacian [Elektronische Daten] [T. Aspelmeier, A. Zippelius] We analyse the density of states of the random graph Laplacian in the percolating regime. A symmetry argument and knowledge of the density of states in the nonpercolating regime allows us to isolate the density of states of the percolating cluster (DSPC) alone, thereby eliminating trivially localised states due to finite subgraphs. We derive a nonlinear integral equation for the integrated DSPC and solve it with a population dynamics algorithm. We discuss the possible existence of a mobility edge and give strong evidence for the existence of discrete eigenvalues in the whole range of the spectrum. The Author(s), 2011 Random graphs nationallicence Graph Laplacian nationallicence Density of states nationallicence Aspelmeier T. Max Planck Institut für Dynamik und Selbstorganisation, Bunsenstr. 10, 37073, Göttingen, Germany aut Zippelius A. Max Planck Institut für Dynamik und Selbstorganisation, Bunsenstr. 10, 37073, Göttingen, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 759-773 0022-4715 144:4<759 2011 144 10955 https://doi.org/10.1007/s10955-011-0271-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0271-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aspelmeier T. Max Planck Institut für Dynamik und Selbstorganisation, Bunsenstr. 10, 37073, Göttingen, Germany aut NATIONALLICENCE 700 1- Zippelius A. Max Planck Institut für Dynamik und Selbstorganisation, Bunsenstr. 10, 37073, Göttingen, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 759-773 0022-4715 144:4<759 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer