A simple inductive approach to the problem of convergenceof cluster expansions of polymer models
- Bovier, Anton
- Zahradník, Miloš
2010 Mathematics Subject Classification
- 82B20 82B26
- cluster expansion, Taylor expansion, Mayer expansion, polymer models
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 its generalization usable for situations where a successive expansion of the partition function has to be used.
- J. Statist. Phys., 100(2000),pp. 765-778