关于阿贝尔自旋模型和相关问题的主题

IF 1.4 Q2 STATISTICS & PROBABILITY

Probability Surveys Pub Date : 2011-12-19 DOI:10.1214/11-PS187

Julien Dub'edat

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引用次数: 19

摘要

在这些笔记中，我们讨论了几个平面统计力学模型的主题选择。我们考虑伊辛、波茨和更普遍的阿贝尔自旋模型;离散高斯自由场;随机聚类模型;六顶点模型。重点放在对偶、有序、无序和旋量变量，以及这些模型之间的映射。

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Topics on abelian spin models and related problems

In these notes, we discuss a selection of topics on several models of planar statistical mechanics. We consider the Ising, Potts, and more generally abelian spin models; the discrete Gaussian free field; the random cluster model; and the six-vertex model. Emphasis is put on duality, order, disorder and spinor variables, and on mappings between these models.

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来源期刊

Probability Surveys STATISTICS & PROBABILITY-

CiteScore

4.70

自引率

0.00%

发文量