Communications in Mathematical Physics

, Volume 103, Issue 3, pp 491–498

Cluster expansion for abstract polymer models

  • R. Kotecký
  • D. Preiss

DOI: 10.1007/BF01211762

Cite this article as:
Kotecký, R. & Preiss, D. Commun.Math. Phys. (1986) 103: 491. doi:10.1007/BF01211762


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.

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