The positive rates problem for attractive nearest neighbor spin systems on ℤ

Lawrence F Gray

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

It is shown that a spin system on ℤ has only one invariant probability measure if it has attractive or repulsive nearest neighbor flip rates which are strictly positive and periodic under translation along ℤ.

Original languageEnglish (US)
Pages (from-to)389-404
Number of pages16
JournalZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume61
Issue number3
DOIs
StatePublished - Sep 1 1982

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