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

The positive rates problem for attractive nearest neighbor spin systems on ℤ
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ℤ 上有吸引力的最近邻自旋系统的正率问题

DOI:
10.1007/bf00539839
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发表时间:
1982
期刊:
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
影响因子:
--
通讯作者:
L. Gray
L. Gray
中科院分区:
--
文献类型:
--
作者:
L. Gray

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研究表明,如果ℤ上的自旋系统具有吸引或排斥的最近邻翻转速率,且在沿ℤ平移的情况下,其翻转速率严格为正且是周期的,则该系统只有一个不变概率度量。
SummaryIt 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.