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Homogeneous Trees

  • Akihito Hora
  • Nobuaki Obata
Part of the Theoretical and Mathematical Physics book series (TMP)

Abstract

We shall go further through the general results developed in the preceding chapter to investigate spectral properties of a homogeneous tree and its variant in a quite explicit manner. The central limit distributions obtained from such growing graphs include the Wigner semicircle law, free Poisson distributions and free Meixner laws.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Akihito Hora
    • 1
  • Nobuaki Obata
    • 2
  1. 1.Graduate School of MathematicsNagoya UniverstiyNagoyaJapan
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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