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Uniform cluster estimates for lattice models

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Abstract

In [2] we obtained the complete cluster expansion for transfermatrix for lattice models with bounded potentials in high-temperature region. Here we obtain necessary cluster estimates for semiinvariants of functionals over Gibbs field with unbounded interaction in high-temperature region and for contour models in low-temperature region.

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References

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Authors and Affiliations

  1. Moscow State University, 117234, Moscow B-234, USSR

    V. A. Malyshev

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  1. V. A. Malyshev
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Communicated by A. Jaffe

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Malyshev, V.A. Uniform cluster estimates for lattice models. Commun.Math. Phys. 64, 131–157 (1979). https://doi.org/10.1007/BF01197510

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  • DOI: https://doi.org/10.1007/BF01197510

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