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math-ph2016★ 24 cited
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Luigi Cantini, Alexandr Garbali, Jan de Gier +1
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 corol…
math-ph2016★ 13 cited
A new generalisation of Macdonald polynomials
Alexandr Garbali, Jan de Gier, Michael Wheeler
We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters and polynomial in a further two parameters $…