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Title: Complex networks
Authors: Rodgers, G J
Nagao, T
Issue Date: 2010
Citation: To appear in Akemann G, Baik J, Di Francesco P. (eds.), Oxford Handbook of Random Matrix Theory, published by Oxford University Press
Abstract: This chapter contains a brief introduction to complex networks, and in particular to small world and scale free networks. We show how to apply the replica method developed to analyse random matrices in statistical physics to calculate the spectral densities of the adjacency and Laplacian matrices of a scale free network. We use the effective medium approximation to treat networks with finite mean degree and discuss the local properties of random matrices associated with complex networks.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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