An irreversible local Markov chain that preserves the six vertex model on a torus
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1509.05070.pdf
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Author(s)
Borodin, Alexei
Bufetov, Alexey
Date Issued
February 2017
Journal
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
Publisher
Institute of Mathematical Statistics
Citation
Borodin, Alexei, and Alexey Bufetov. “An Irreversible Local Markov Chain That Preserves the Six Vertex Model on a Torus.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, vol. 53, no. 1, Feb. 2017, pp. 451–63.
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1214/15-AIHP722
