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|a Aggarwal, Amol
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Borodin, Alexei
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|a Bufetov, Alexey
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|a Stochasticization of Solutions to the Yang-Baxter Equation
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|b Springer Science and Business Media LLC,
|c 2019-11-15T16:32:44Z.
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|z Get fulltext
|u https://hdl.handle.net/1721.1/122949
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|a 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.
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|a National Science Foundation (U.S.) (Grant DMS-1607901)
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|a National Science Foundation (U.S.) (Grant DMS-1664619)
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|a Article
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|t Annales Henri Poincaré
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