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Wave Localization on Complex Networks

In: Towards an Information Theory of Complex Networks

Author

Listed:
  • 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)

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.

Suggested Citation

  • Richard Berkovits & Lukas Jahnke & Jan W. Kantelhardt, 2011. "Wave Localization on Complex Networks," Springer Books, in: Matthias Dehmer & Frank Emmert-Streib & Alexander Mehler (ed.), Towards an Information Theory of Complex Networks, edition 1, chapter 0, pages 75-96, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4904-3_4
    DOI: 10.1007/978-0-8176-4904-3_4
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