Loss Network Representation of Peierls Contours

@inproceedings{Fernndez1999LossNR,
  title={Loss Network Representation of Peierls Contours},
  author={Roberto Fern{\'a}ndez and Pablo A. Ferrari and Nancy L. Garcia},
  year={1999}
}
We present a probabilistic approach for the study of systems with exclusions in the regime traditionally studied via cluster-expansion methods. In this paper we focus on its application for the gases of Peierls contours found in the study of the Ising model at low temperatures, but most of the results are general. We realize the equilibrium measure as the invariant measure of a loss network process whose existence is ensured by a subcriticality condition of a dominant branching process. In this… CONTINUE READING
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