标题： 平移不变且弱周期的HC模型的Gibbs测度在Cayley树上 显示英文标题

标题： Translation-invariant and weakly periodic Gibbs measures for HC-models on a Cayley tree

摘要： 本文研究了Cayley树上的HC模型。对于具有两个状态的HC模型，我们在该模型参数的一些条件下证明了存在恰好两种弱周期（非周期）Gibbs测度。此外，我们考虑了四状态HC模型的可育情形下的平移不变Gibbs测度，并且对其中一种证明了平移不变Gibbs测度的非唯一性。 显示英文摘要

摘要： In this paper is studied HC-models on a Cayley tree. two states HC-model on a Cayley tree and Under some conditions on parameters of the two state HC-model we prove existence exactly two of the weakly periodic (non periodic) Gibbs measures. Furthermore, it considered translation-invariant Gibbs measures for fertile four state HC-models and for one of them it proved the non-uniqueness of the translation-invariant Gibbs measure.