, Volume 103, Issue 3, pp 491-498

Cluster expansion for abstract polymer models

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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