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Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
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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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Formulas for Koornwinder polynomials
New uncompressed and compressed set-valued tableaux formulas give explicit monomial expansions for all relative Koornwinder polynomials.
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