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Häggström, Olle [Author]; Külske, Christof [Author]

Gibbs properties of the fuzzy potts model on trees and in mean fields

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  • Media type: Text; E-Book; Report
  • Title: Gibbs properties of the fuzzy potts model on trees and in mean fields
  • Contributor: Häggström, Olle [Author]; Külske, Christof [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2003
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.878
  • Keywords: 05.50.+q ; 82B26 ; 02.50.Cw ; 82B20 ; Potts model -- fuzzy Potts model -- Gibbs measures -- non-Gibbsian measures -- trees -- mean-field models ; article
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: We study Gibbs properties of the fuzzy Potts model in the mean field case (i.e on a complete graph) and on trees. For the mean field case, a complete characterization of the set of temperatures for which non-Gibbsianness happens is given. The results for trees are somewhat less explicit, but we do show for general trees that non-Gibbsianness of the fuzzy Potts model happens exactly for those temperatures where the underlying Potts model has multiple Gibbs measures.
  • Access State: Open Access