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Ising models on the lattice Sierpinski gasket

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Abstract

Ferromagnetic Ising models on the lattice Sierpinski gasket are considered. We prove the Dobrushin-Shlosmann mixing condition and discuss corresponding properties of the stochastic Ising models.

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Author notes

  1. Nobuo Yoshida

    Present address: Mathematics Department, 2-101, Massachusetts Institute Technology, 03139, Cambridge, Massachusetts

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kobe University, Rokko, 657, Kobe, Japan

    Yasunari Higuchi

  2. Division of Mathematics, Graduate School of Science, Kyoto University, 606-01, Kyoto, Japan

    Nobuo Yoshida

Authors
  1. Yasunari Higuchi
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  2. Nobuo Yoshida
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Communicated by J. L. Lebowitz

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Higuchi, Y., Yoshida, N. Ising models on the lattice Sierpinski gasket. J Stat Phys 84, 295–307 (1996). https://doi.org/10.1007/BF02179588

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  • DOI: https://doi.org/10.1007/BF02179588

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