Abstract
Provided purely imaginary temperatures are allowed, the 1-dimensional cyclic Ising model is identified with the Rudin-Shapiro sequence.
from a joint paper with Michel Mendès France
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References
J.-P. Allouche et M. Mendès France, Suite de Rudin-Shapiro et modèle d’Ising, Bull. Soc. Math. France 1985 (à paraître).
G. Christol, T. Kamae, M. Mendès France et G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. Math. France 108 (1980), 401–419.
H.A. Kramers, G. H. Wannier, Statistics on the two-dimensional ferromagnet, I et II, Physic. Rev. 60 (1941), 252–262
???H.A. Kramers, G. H. Wannier, Statistics on the two-dimensional ferromagnet, I et II, Physic. Rev. 60 (1941)??? 263
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© 1986 Springer-Verlag Berlin Heidelberg
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Allouche, JP. (1986). The Ising Model And The Rudin-Shapiro Sequence. In: Bienenstock, E., Soulié, F.F., Weisbuch, G. (eds) Disordered Systems and Biological Organization. NATO ASI Series, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82657-3_6
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DOI: https://doi.org/10.1007/978-3-642-82657-3_6
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