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Carinci, G. (author), Franceschini, Chiara (author), Groenevelt, W.G.M. (author)We study a class of interacting particle systems with asymmetric interaction showing a selfduality property. The class includes the ASEP(q, θ), asymmetric exclusion process, with a repulsive interaction, allowing up to θ ∈ N particles in each site, and the ASIP(q, θ), θ ∈ R<sup>+</sup>, asymmetric inclusion process, that is its attractive...journal article 2021
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Groenevelt, W.G.M. (author), Koelink, Erik (author)We study a Lax pair in a 2parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for sl(d+ 1 , C) is studied in certain representations.journal article 2021
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Groenevelt, W.G.M. (author), Giardina', C. (author), Redig, F.H.J. (author), Carinci, G. (author)We study selfduality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We show that orthogonal selfdualities arise from unitary symmetries of the Markov generator. For these symmetries we provide two equivalent expressions that are related...journal article 2019
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Groenevelt, W.G.M. (author)We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between ∗representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the...journal article 2019
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Groenevelt, W.G.M. (author)The 6jsymbols for representations of the qdeformed algebra of polynomials on SU(2) are given by Jackson’s third qBessel functions. This interpretation leads to several summation identities for the qBessel functions. Multivariate qBessel functions are defined, which are shown to be limit cases of multivariate Askey–Wilson polynomials. The...journal article 2018
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 Groenevelt, W.G.M. (author) doctoral thesis 2004