Identifying interacting pairs of sites in Ising models on a countable set
Jan 12, 2015
Antonio Galves, Enza Orlandi and Daniel Yasumasa Takahashi
This paper addresses 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 upper bound for the probability of misidentification of the pairs of interacting sites in this finite set.
The whole paper is available here.
Share on Facebook
