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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.

MSC:
82B05Classical equilibrium statistical mechanics (general)
60K35Interacting random processes; statistical mechanics type models; percolation theory
82B20Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B21Continuum models (systems of particles, etc.)
82D60Polymers (statistical mechanics)
References:
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