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Clustering in low-dimensional SO(N)-invariant statistical models with long-range interactions

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Abstract

We obtain upper bounds for the two-point correlation functions in statistical models in one or two dimensions which haveSO(N) symmetry. This clarifies upper bounds for long range interactions for which there exists clustering.

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Authors and Affiliations

  1. Department of Mathematics, Bedford College, University of London, Regent's Park, NW1 4NS, London, UK

    K. R. Ito

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  1. K. R. Ito
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Supported by the SRC.

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Ito, K.R. Clustering in low-dimensional SO(N)-invariant statistical models with long-range interactions. J Stat Phys 29, 747–760 (1982). https://doi.org/10.1007/BF01011788

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  • DOI: https://doi.org/10.1007/BF01011788

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