Cluster Expansion for Abstract Polymer Models. New Bounds from an Old Approach
Cluster Expansion for Abstract Polymer Models. New Bounds from an Old Approach
复制标题
抽象聚合物模型的簇扩展。
DOI：
10.1007/s00220-007-0279-2
复制
发表时间：
2006
影响因子：
2.4
通讯作者：
A. Procacci
中科院分区：
文献类型：
--
作者：
R. Fernández;A. Procacci
我们重新审视经典的方法，集群扩张，树图的基础上，并建立一个新的收敛条件，提高了Koteckle-Preiss和Dobrushin，我们在一些例子中显示。我们的方法的两个成分是：（i）一个截断函数的彭罗斯恒等式的仔细考虑，（ii）使用迭代变换绑定树图扩展。
We revisit the classical approach to cluster expansions, based on tree graphs, and establish a new convergence condition that improves those by Kotecký-Preiss and Dobrushin, as we show in some examples. The two ingredients of our approach are: (i) a careful consideration of the Penrose identity for truncated functions, and (ii) the use of iterated transformations to bound tree-graph expansions.