Stochasticization of Solutions to the Yang–Baxter Equation
Author(s)Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey
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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 dynamical Yang–Baxter equation; and the third is a stochastic solution to a dynamical variant of the tetrahedron equation.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Annales Henri Poincaré
Springer Science and Business Media LLC
Aggarwal, A., et al. "Stochasticization of Solutions to the Yang–Baxter Equation." Annales Henri Poincaré 20, 8 (August 2019): 2495–2554 © 2019 Springer Nature Switzerland AG