Stochastic Higher Spin Vertex Models on the Line

@article{Corwin2015StochasticHS,
title={Stochastic Higher Spin Vertex Models on the Line},
author={Ivan Corwin and Leonid A. Petrov},
journal={Communications in Mathematical Physics},
year={2015},
volume={343},
pages={651-700}
}
• Published 25 February 2015
• Mathematics
• Communications in Mathematical Physics
We introduce a four-parameter family of interacting particle systems on the line, which can be diagonalized explicitly via a complete set of Bethe ansatz eigenfunctions, and which enjoy certain Markov dualities. Using this, for the systems started in step initial data, we write down nested contour integral formulas for moments and Fredholm determinant formulas for Laplace-type transforms. Taking various choices or limits of parameters, this family degenerates to many of the known exactly…
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