Cluster expansion for abstract polymer models |
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| Authors: | R. Kotecký D. Preiss |
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| Affiliation: | (1) Department of Mathematical Physics, Charles University, V Hole!["scaron"]("/content/m6j255174155k308/xlarge353.gif") ovi!["ccaron"]("/content/m6j255174155k308/xlarge269.gif") kách 2, CS-18000 Praha 8, Czechoslovakia;(2) Department of Mathematical Analysis, Charles University, Sokolovská 83, CS-18600 Praha 8, Czechoslovakia |
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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. |
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