论文标题
通过递归的经典气体分析性
Analyticity for classical gasses via recursion
论文作者
论文摘要
我们给出了具有排斥对潜力的经典气体的新标准，以表现出无限体积Gibbs测量和压力分析性的独特性。我们对分析性的界限的改进是比经典集群扩展方法的因子$ e^2 $，而因子$ e $超过了群集扩展融合的已知限制。该标准基于一个点过程密度的递归计算的承包特性。我们的证明中的关键要素包括吉布斯点过程密度的积分身份以及理论计算机科学中算法相关方法的适应。我们还从结果中推断出，改善了压力分析性随密度的函数的分析性。
We give a new criterion for a classical gas with a repulsive pair potential to exhibit uniqueness of the infinite volume Gibbs measure and analyticity of the pressure. Our improvement on the bound for analyticity is by a factor $e^2$ over the classical cluster expansion approach and a factor $e$ over the known limit of cluster expansion convergence. The criterion is based on a contractive property of a recursive computation of the density of a point process. The key ingredients in our proofs include an integral identity for the density of a Gibbs point process and an adaptation of the algorithmic correlation decay method from theoretical computer science. We also deduce from our results an improved bound for analyticity of the pressure as a function of the density.
