A Simple Inductive Approach to the Problem of Convergence of Cluster Expansions of Polymer Models |
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| Authors: | Anton Bovier Miloš Zahradník |
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| Institution: | (1) Weierstrass Institute, 10117 Berlin, Germany;(2) Faculty of Mathematics and Physics, Charles University, 18600 Prague 8, Czech Republic |
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| 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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| Keywords: | cluster expansion Taylor expansion Mayer expansion polymer models |
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