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An irreversible local Markov chain that preserves the six vertex model on a torus

Mathematical Physics 2015-09-18 v1 math.MP Probability

Abstract

We construct an irreversible local Markov dynamics on configurations of up-right paths on a discrete two-dimensional torus, that preserves the Gibbs measures for the six vertex model. An additional feature of the dynamics is a conjecturally nontrivial drift of the height function.

Keywords

Cite

@article{arxiv.1509.05070,
  title  = {An irreversible local Markov chain that preserves the six vertex model on a torus},
  author = {Alexei Borodin and Alexey Bufetov},
  journal= {arXiv preprint arXiv:1509.05070},
  year   = {2015}
}

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15 pages