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

作者：Borodin Alexei^*; Bufetov Alexey

来源：Annales de l Institut Henri Poincare-Probabilites et Statistiques, 2017, 53(1): 451-463.

DOI：10.1214/15-AIHP722

• Six vertex model
• Markov dynamics
• Gibbs measure

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.

• 出版日期2017-2
• 单位MIT