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Extremity of the disordered phase in the Ising model on the Bethe lattice

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Abstract

We prove that the disordered Gibbs distribution in the ferromagnetic Ising model on the Bethe lattice is extreme forT≧T SGc , whereT SGc is the critical temperature of the spin glass model on the Bethe lattice, and it is not extreme forT<T SGc .

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Authors and Affiliations

  1. Institute of Applied Mathematics, Academy of Sciences of the USSR, SU-125047, Moscow, USSR

    P. M. Bleher

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  1. P. M. Bleher
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Communicated by Ya. G. Sinai

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Bleher, P.M. Extremity of the disordered phase in the Ising model on the Bethe lattice. Commun.Math. Phys. 128, 411–419 (1990). https://doi.org/10.1007/BF02108787

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  • DOI: https://doi.org/10.1007/BF02108787

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