, Volume 103, Issue 3, pp 491-498

Cluster expansion for abstract polymer models

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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.

Communicated by J. Fröhlich