paper

Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation

arXiv:1709.06227 · doi:10.1093/imrn/rny159

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.

33 pages