DocumentCode
584695
Title
Renormalization of Spectra for Network Laplacian as Applied to Synchronization
Author
Boettcher, S.
Author_Institution
Dept. of Phys., Emory Univ., Atlanta, GA, USA
fYear
2012
fDate
25-29 Nov. 2012
Firstpage
754
Lastpage
761
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/SITIS.2012.114
Filename
6395167
Link To Document