Wave Localization on Complex Networks

Richard Berkovits (), Lukas Jahnke and Jan W. Kantelhardt
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Richard Berkovits: Bar-Ilan University, Minerva Center and Department of Physics
Lukas Jahnke: Martin-Luther-Universität Halle-Wittenberg
Jan W. Kantelhardt: Martin-Luther-Universität Halle-Wittenberg

Chapter Chapter 4 in Towards an Information Theory of Complex Networks, 2011, pp 75-96 from Springer

Abstract: Abstract In this chapter we consider the role played by Anderson localization in transport through complex networks, for example, an optical network. The network is described by a tight binding Hamiltonian, which may be used to determine the properties of the Anderson transition according to the statistical properties of its eigenvalues. The Anderson transition properties of different complex networks will be studied, emphasizing the role played by clustering on the localization of waves. We shall show that new complex topologies lead to novel physics, specifically clustering may lead to localization.

Keywords: Anderson localization; Complex and random graphs; Information theory (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4904-3_4

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DOI: 10.1007/978-0-8176-4904-3_4

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