Integrable Stochastic Dualities and the Deformed Knizhnik-Zamolodchikov Equation
Zeying Chen, Jan de Gier, Michael Wheeler
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | OXFORD UNIV PRESS | Published : 2020
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 selfdual single species ASEP on the integer lattice.
This work was supported by Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS); and Australian Research Council Discovery Early Career Researcher Award [to M.W.].