Stochasticization of Solutions to the Yang–Baxter Equation

@article{Aggarwal2019StochasticizationOS,
  title={Stochasticization of Solutions to the Yang–Baxter Equation},
  author={Amol Aggarwal and Alexei Borodin and Alexey Bufetov},
  journal={Annales Henri Poincar{\'e}},
  year={2019},
  pages={1-60}
}
In this paper, we introduce a procedure that, given a solution to the Yang–Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version of) the Yang–Baxter equation. We then apply this “stochasticization procedure” to obtain three new, stochastic solutions to several different forms of the Yang–Baxter equation. The first is a stochastic, elliptic solution to the dynamical Yang–Baxter equation; the second is a stochastic, higher rank solution to the… 
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10 Citations
Background Citations
3
Methods Citations
2

10 Citations

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Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model
  • A. Aggarwal
  • Mathematics
    Communications in Mathematical Physics
  • 2019
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