• Medientyp: E-Book; Bericht; Sonstige Veröffentlichung
  • Titel: Gibbs properties of the fuzzy potts model on trees and in mean fields
  • Beteiligte: Häggström, Olle [VerfasserIn]; Külske, Christof [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2003
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.878
  • Schlagwörter: Potts model -- fuzzy Potts model -- Gibbs measures -- non-Gibbsian measures -- trees -- mean-field models ; article ; 05.50.+q ; 02.50.Cw ; 82B20 ; 82B26
  • Entstehung:
  • Anmerkungen: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Beschreibung: 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.