Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model

Abstract

A d-dimensional ferromagnetic Ising model on a lattice torus is considered. As the size of the lattice tends to infinity, two conditions ensuring a Poisson approximation for the distribution of the number of occurrences in the lattice of any given local configuration are suggested. The proof builds on the Stein-Chen method. The rate of the Poisson… (More)

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Cite this paper

@inproceedings{Coupier2006TwoSC, title={Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model}, author={David Coupier}, year={2006} }