Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. (English) Zbl 1083.82509
Summary: We consider classical lattice systems with finite-range interactions ind dimensions. By means of a block-decimation procedure, we transform our original system into a polymer system whose activity is small provided a suitable factorization property of finite-volume partition functions holds. In this way we extend a result of Olivieri.
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82B05 | Classical equilibrium statistical mechanics (general) |
References:
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