English

Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation

Mathematical Physics 2021-10-19 v1 Statistical Mechanics math.MP Probability Representation Theory

Abstract

We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov equations. Our method reproduces, as a special case, duality functions for the self-dual single species ASEP on the integer lattice.

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Cite

@article{arxiv.1709.06227,
  title  = {Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation},
  author = {Zeying Chen and Jan de Gier and Michael Wheeler},
  journal= {arXiv preprint arXiv:1709.06227},
  year   = {2021}
}

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33 pages