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Phase Transitions on Nonamenable Graphs

Probability 2009-10-31 v3 Mathematical Physics math.MP

Abstract

We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.

Keywords

Cite

@article{arxiv.math/9908177,
  title  = {Phase Transitions on Nonamenable Graphs},
  author = {Russell Lyons},
  journal= {arXiv preprint arXiv:math/9908177},
  year   = {2009}
}