抽象聚合物模型的簇展开。旧方法的新界限
Cluster expansion for abstract polymer models. New bounds from an old approach
摘要：
我们重温经典的方法，集群扩展，树图的基础上，并建立一个新的收敛条件，提高了Kotecky 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。
英文摘要：
We revisit the classical approach to cluster expansions, based on tree graphs, and establish a new convergence condition that improves those by Kotecky-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
