4.4 Article

Integrable Stochastic Dualities and the Deformed Knizhnik-Zamolodchikov Equation

Journal

INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume 2020, Issue 19, Pages 5872-5925

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/imrn/rny159

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Funding

  1. Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS)
  2. Australian Research Council Discovery Early Career Researcher Award

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We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov (KZ) 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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