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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Communicated by J. Fröhlich
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Kotecký, R., Preiss, D. Cluster expansion for abstract polymer models. Commun.Math. Phys. 103, 491–498 (1986). https://doi.org/10.1007/BF01211762
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DOI: https://doi.org/10.1007/BF01211762