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2011 Topics on abelian spin models and related problems
Julien Dubédat
Probab. Surveys 8: 374-402 (2011). DOI: 10.1214/11-PS187


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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Julien Dubédat. "Topics on abelian spin models and related problems." Probab. Surveys 8 374 - 402, 2011.


Published: 2011
First available in Project Euclid: 30 December 2011

zbMATH: 1243.82020
MathSciNet: MR2861134
Digital Object Identifier: 10.1214/11-PS187

Primary: 60G15 , 82B20

Rights: Copyright © 2011 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.8 • 2011
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