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May 2015 Identifying interacting pairs of sites in Ising models on a countable set
Antonio Galves, Enza Orlandi, Daniel Y. Takahashi
Braz. J. Probab. Stat. 29(2): 443-459 (May 2015). DOI: 10.1214/14-BJPS279


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 Y. Takahashi. "Identifying interacting pairs of sites in Ising models on a countable set." Braz. J. Probab. Stat. 29 (2) 443 - 459, May 2015.


Published: May 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1316.60145
MathSciNet: MR3336875
Digital Object Identifier: 10.1214/14-BJPS279

Keywords: Dobrushin coupling , Ising model , neighborhood identification

Rights: Copyright © 2015 Brazilian Statistical Association


Vol.29 • No. 2 • May 2015
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