论文标题
具有排斥相互作用的Gibbs点过程的显式Dobrushin独特区域
An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
论文作者
论文摘要
我们为Gibbs点过程提供了与非负相位潜力相互作用的唯一性结果。特别是，我们在活动$ z $和反度$β$方面提供了一个明确的唯一区域。所使用的技术依赖于连续设置经典的涂布金标准。我们还提出了与其他两种唯一性的扩展和分歧渗透方法的比较，这也可以应用于这种类型的相互作用。
We present a uniqueness result for Gibbs point processes with interactions that come from a non-negative pair potential; in particular, we provide an explicit uniqueness region in terms of activity $z$ and inverse temperature $β$. The technique used relies on applying to the continuous setting the classical Dobrushin criterion. We also present a comparison to the two other uniqueness methods of cluster expansion and disagreement percolation, which can also be applied for this type of interactions.
