论文标题
gibbs的唯一性测量了无限$δ$ - 典型树上的抗铁磁Potts模型的大$δ$
Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite $Δ$-regular tree for large $Δ$
论文作者
论文摘要
在本文中，我们证明，对于任何整数$ q \ geq 5 $，抗铁磁$ q $ q $ - 状态potts模型在无限$Δ$ -Recarbular tree上具有独特的gibbs度量，用于所有边缘交互参数$ w \ in [1-q/δ，1）$ w \ in [1-q/δ，1）$，提供$δ$。这证实了一个长期以来的民间传播猜想。
In this paper we prove that for any integer $q\geq 5$, the anti-ferromagnetic $q$-state Potts model on the infinite $Δ$-regular tree has a unique Gibbs measure for all edge interaction parameters $w\in [1-q/Δ,1)$, provided $Δ$ is large enough. This confirms a longstanding folklore conjecture.
