06-154 Roberto Fern ndez and Aldo Procacci

Cluster expansion for abstract polymer models. New bounds from an old approach (44K, LaTeX) May 12, 06

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Abstract. We revisit the classical approach to cluster expansions, based on tree graphs, and establish a new convergence condition that improves those by Koteck\'y-Preiss and Dobrushin, as we show in some examples. The strategy is to better exploit a well known tree-graph expression, due to Penrose.

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