@article{13aaa78afe0a43b99f3f7a2e4f758a66,
title = "Long-range order in the 3-state antiferromagnetic Potts model in high dimensions",
abstract = "We prove the existence of long-range order for the 3-state Potts antiferromagnet at low temperature on Zd for sufficiently large d. In particular, we show the existence of six extremal and ergodic infinite-volume Gibbs measures, which exhibit spontaneous magnetization in the sense that vertices in one bipartition class have a much higher probability to be in one state than in either of the other two states. This settles the high-dimensional case of the Koteck{\'y} conjecture.",
keywords = "Long-range order, Phase transition, Potts model, Rigidity",
author = "Feldheim, {Ohad N.} and Yinon Spinka",
note = "Publisher Copyright: {\textcopyright} European Mathematical Society 2019.",
year = "2019",
doi = "10.4171/JEMS/866",
language = "אנגלית",
volume = "21",
pages = "1509--1570",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
number = "5",
}