Stochastic higher spin vertex models on the line (Q282589)

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scientific article; zbMATH DE number 6579798
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Stochastic higher spin vertex models on the line
scientific article; zbMATH DE number 6579798

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    Stochastic higher spin vertex models on the line (English)
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    12 May 2016
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    The authors develop a four-parameter family of stochastic interacting particle systems on the line, which are built off of higher spin representations of the six-vertex model \(R\)-matrix. These systems can be diagonalized explicitly in terms of a complete set of Bethe ansatz eigenfunctions, and they also enjoy certain Markov dualities. Using this, the authors compute the moment and then Laplace-type transform formulas for these processes.
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    interacting particle system
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    vertex model
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    Bethe ansatz
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    \(R\)-matrix
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