WIAS Preprint No. 536, (1999)

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.

Appeared in

  • J. Statist. Phys., 100(2000),pp. 765-778

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