Abstract
We explain a simple inductive method for the analysis of the convergence of cluster expansions (Taylor expansions, Mayer expansions) for the partition functions of polymer models. We give a very simple proof of the Dobrushin–Kotecký–Preiss criterion and formulate a generalization usable for situations where a successive expansion of the partition function has to be used.
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Bovier, A., Zahradník, M. A Simple Inductive Approach to the Problem of Convergence of Cluster Expansions of Polymer Models. Journal of Statistical Physics 100, 765–778 (2000). https://doi.org/10.1023/A:1018631710626
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DOI: https://doi.org/10.1023/A:1018631710626