Journal article

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

Abstract

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.

Grants

Funding Acknowledgements

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.].