Title :
Renormalization of Spectra for Network Laplacian as Applied to Synchronization
Author_Institution :
Dept. of Phys., Emory Univ., Atlanta, GA, USA
Abstract :
Renormalization group methods from statistical physics are developed to accurately describe asymptotic properties of complex networks. As a demonstration, the determinant and the lower and upper eigenvalues of the Laplacian matrix for a hierarchical network model are obtained to assess the collective ability to synchronize agents coupled on the network.
Keywords :
eigenvalues and eigenfunctions; group theory; matrix algebra; statistical analysis; synchronisation; Laplacian matrix network; asymptotic property; complex networks; hierarchical network model; spectra renormalization group methods; statistical physics; synchronization; upper eigenvalues; Eigenvalues and eigenfunctions; Equations; Laplace equations; Lattices; Mathematical model; Physics; Synchronization; Complex Networks; Hierarchcial Networks; Network Spectra; Renormalization Group; Synchronization;
Conference_Titel :
Signal Image Technology and Internet Based Systems (SITIS), 2012 Eighth International Conference on
Conference_Location :
Naples
Print_ISBN :
978-1-4673-5152-2
DOI :
10.1109/SITIS.2012.114
