关于阿贝尔自旋模型和相关问题的主题

IF 1.3 Q2 STATISTICS & PROBABILITY Probability Surveys Pub Date : 2011-12-19 DOI:10.1214/11-PS187

Julien Dub'edat

{"title":"关于阿贝尔自旋模型和相关问题的主题","authors":"Julien Dub'edat","doi":"10.1214/11-PS187","DOIUrl":null,"url":null,"abstract":"In these notes, we discuss a selection of topics on several models of \nplanar statistical mechanics. We consider the Ising, Potts, and more \ngenerally abelian spin models; the discrete Gaussian free field; the \nrandom cluster model; and the six-vertex model. Emphasis is put on \nduality, order, disorder and spinor variables, and on mappings between \nthese models.","PeriodicalId":46216,"journal":{"name":"Probability Surveys","volume":"8 1","pages":"374-402"},"PeriodicalIF":1.3000,"publicationDate":"2011-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Topics on abelian spin models and related problems\",\"authors\":\"Julien Dub'edat\",\"doi\":\"10.1214/11-PS187\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In these notes, we discuss a selection of topics on several models of \\nplanar statistical mechanics. We consider the Ising, Potts, and more \\ngenerally abelian spin models; the discrete Gaussian free field; the \\nrandom cluster model; and the six-vertex model. Emphasis is put on \\nduality, order, disorder and spinor variables, and on mappings between \\nthese models.\",\"PeriodicalId\":46216,\"journal\":{\"name\":\"Probability Surveys\",\"volume\":\"8 1\",\"pages\":\"374-402\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2011-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Probability Surveys\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1214/11-PS187\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Probability Surveys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/11-PS187","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊