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Uniqueness of Gibbs Measures for an Ising Model with Continuous Spin Values on a Cayley Tree
Reports on Mathematical Physics ( IF 0.8 ) Pub Date : 2020-12-01 , DOI: 10.1016/s0034-4877(20)30084-7
Farhod Halimjonovich Haydarov , Shamshod A. Akhtamaliyev , Madalixon A. Nazirov , Behzod Boyxonovich Qarshiyev

In this paper we consider an Ising model with nearest-neighbour interactions with spin space [0, 1] on a Cayley tree. We present a sufficient condition under which the Ising model has a unique splitting Gibbs measure.

中文翻译:

Cayley 树上具有连续自旋值的 Ising 模型的 Gibbs 测度的唯一性

在本文中,我们考虑了一个 Ising 模型,该模型在 Cayley 树上具有与自旋空间 [0, 1] 的最近邻相互作用。我们提出了一个充分条件,在该条件下 Ising 模型具有唯一的分裂 Gibbs 测度。
更新日期:2020-12-01
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