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Almost sure quasilocality in the random cluster model

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Abstract

We investigate the Gibbsianness of the random cluster measuresμ q, p and\(\tilde \mu ^{q,p}\), obtained as the infinite-volume limit of finite-volume measures with free and wired boundary conditions. Forq>1, the measures are not Gibbs measures, but it turns out that the conditional distribution on one edge, given the configuration outside that edge, is almost surely quasilocal.

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Authors and Affiliations

  1. Département de Mathématiques, École Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    Charles-Edouard Pfister

  2. Instituut voor Theoretische Fysica, K.U. Leuven, B-3001, Leuven, Belgium

    Koen Vande Velde

Authors
  1. Charles-Edouard Pfister
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  2. Koen Vande Velde
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Communicated by A. van Enter

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Pfister, CE., Velde, K.V. Almost sure quasilocality in the random cluster model. J Stat Phys 79, 765–774 (1995). https://doi.org/10.1007/BF02184883

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  • DOI: https://doi.org/10.1007/BF02184883

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