Communications in Mathematical Physics

, Volume 103, Issue 3, pp 491–498 | Cite as

Cluster expansion for abstract polymer models

  • R. Kotecký
  • D. Preiss


A new direct proof of convergence of cluster expansions for polymer (contour) models is given in an abstract setting. It does not rely on Kirkwood-Salsburg type equations or “combinatorics of trees.” A distinctive feature is that, at all steps, the considered clusters contain every polymer at most once.


Polymer Neural Network Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • R. Kotecký
    • 1
  • D. Preiss
    • 2
  1. 1.Department of Mathematical PhysicsCharles UniversityPraha 8Czechoslovakia
  2. 2.Department of Mathematical AnalysisCharles UniversityPraha 8Czechoslovakia

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