Communications in Mathematical Physics

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

Cluster expansion for abstract polymer models

  • R. Kotecký
  • D. Preiss
Article

Abstract

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.

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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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