Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

preprint2016arXivOpen access

Abstract

We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corollary we obtain that the normalisation of mASEP factorises as a product over multiple copies of the two-species ASEP.

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