Wave Localization on Complex Networks

Richard Berkovits, Lukas Jahnke, Jan W. Kantelhardt

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.
Original languageEnglish
Title of host publicationTowards an Information Theory of Complex Networks
EditorsMatthias Dehmer, Frank Emmert-Streib, Alexander Mehler
PublisherBirkhäuser Boston
Number of pages22
ISBN (Electronic)978-0-8176-4904-3
ISBN (Print)978-0-8176-4903-6
StatePublished - 11 Jun 2011


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