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Decay of Correlations and Uniqueness of the Infinite-Volume Gibbs Measure of the Canonical Ensemble of 1d-Lattice Systems

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Published in 2019 at "Journal of Statistical Physics"

DOI: 10.1007/s10955-019-02324-1

Abstract: We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show the equivalence of correlations of the grand canonical (gce) and the canonical ensemble (ce). As a corollary… read more here.

Keywords: volume; gibbs measure; volume gibbs; infinite volume ... See more keywords