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

2015/09/16 by Borodin, Alexei, Bufetov, Alexey
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1509.05070

openalex publication_date 2015/09/16 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/28

Abstract

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

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