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The Ising Model And The Rudin-Shapiro Sequence

  • Jean-Paul Allouche
Conference paper
  • 170 Downloads
Part of the NATO ASI Series book series (volume 20)

Abstract

Provided purely imaginary temperatures are allowed, the 1-dimensional cyclic Ising model is identified with the Rudin-Shapiro sequence.

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References

  1. [1]
    J.-P. Allouche et M. Mendès France, Suite de Rudin-Shapiro et modèle d’Ising, Bull. Soc. Math. France 1985 (à paraître).Google Scholar
  2. [2]
    G. Christol, T. Kamae, M. Mendès France et G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. Math. France 108 (1980), 401–419.zbMATHMathSciNetGoogle Scholar
  3. [3a]
    H.A. Kramers, G. H. Wannier, Statistics on the two-dimensional ferromagnet, I et II, Physic. Rev. 60 (1941), 252–262zbMATHMathSciNetCrossRefGoogle Scholar
  4. [3b]
    ???H.A. Kramers, G. H. Wannier, Statistics on the two-dimensional ferromagnet, I et II, Physic. Rev. 60 (1941)??? 263zbMATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Jean-Paul Allouche
    • 1
  1. 1.U A 226 — U.E.R. de Math. de Bordeaux ITalence CedexFrance

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