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

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Autor(es):	Galves, Antonio ^[1] ; Orlandi, Enza ^[2] ; Takahashi, Daniel Y. ^[3] Número total de Autores: 3
Afiliação do(s) autor(es):	^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil ^[2] Univ Rome Tre, Dipartimento Matemat, I-00146 Rome - Italy ^[3] Princeton Univ, Inst Neurosci, Princeton, NJ 08648 - USA Número total de Afiliações: 3
Tipo de documento:	Artigo Científico
Fonte:	BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 29, n. 2, p. 443-459, MAY 2015.
Citações Web of Science:	2
Resumo
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. (AU)

Processo FAPESP:	08/08171-0 - Modelagem de populações de neurônios por sistemas markovianos de muitos componentes com interações de alcance variável
Beneficiário:	Daniel Yasumasa Takahashi
Linha de fomento:	Bolsas no Brasil - Pós-Doutorado