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Cluster expansion for abstract polymer models. (English) Zbl 0593.05006
Summary: 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.

82B05 Classical equilibrium statistical mechanics (general)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
82D60 Statistical mechanics of polymers
Full Text: DOI
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