Identifying interacting pairs of sites in Ising models on a countable set

Antonio Galves; Enza Orlandi; Daniel Yasumasa Takahashi

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arXiv · 1006.0272

Identifying interacting pairs of sites in Ising models on a countable set

Antonio Galves·Enza Orlandi·Daniel Yasumasa Takahashi

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Abstract

This paper address the problem of identifying pairs of interacting sites from a finite sample of independent realizations of the Ising model. We consider Ising models in a infinite countable set of sites under Dobrushin uniqueness condition. The observed sample contains only the values assigned by the Ising model to a finite set of sites. Our main result is an upperbound for the probability of misidentification of the pairs of interacting sites in this finite set.

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Antonio Galves, Enza Orlandi, Daniel Yasumasa Takahashi. 2010-06-02. Identifying interacting pairs of sites in Ising models on a countable set. https://arxiv.org/abs/1006.0272

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