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

Lawrence F. Gray

doi:10.1007/BF00539839

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

Lawrence F. Gray

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15 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 language	English (US)
Pages (from-to)	389-404
Number of pages	16
Journal	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume	61
Issue number	3
DOIs	https://doi.org/10.1007/BF00539839
State	Published - Sep 1982
Externally published	Yes

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title = "The positive rates problem for attractive nearest neighbor spin systems on ℤ",

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

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