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20222026
most citedAn Askey-Wilson Algebra of Rank 2

4 citations · 6 across the 6 of their papers we have counts for

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6 papers

math.CA2026

The two-weight fractional Poincaré-Sobolev sandwich

Emiel Lorist, Carel Wagenaar

We establish a two-weight fractional Poincaré-Sobolev sandwich, consisting of a two-weight fractional Poincaré-Sobolev inequality and a two-weight embedding from the first-order So…

math.RA2026

Bispectral rational functions and Leonard trios

Nicolas Crampé, Wolter Groenevelt, Quentin Labriet +3

It is well-known that Leonard pairs have a close connection with bispectral orthogonal polynomials of the Askey scheme. In this paper, we introduce the notion of a Leonard trio $(V…

math.QA2025

Quantum algebra approach to univariate and multivariate rational functions of -Racah type

Wolter Groenevelt, Carel Wagenaar

In this paper, we study rational functions of -Racah type and a multivariate extension, using representation theory of . Eigenfunctions of twisted…

math.PR2025

Dynamic generalizations of the Asymmetric Inclusion Process, Asymmetric Brownian Energy Process and their Dualities

Carel Wagenaar

Two new interacting particle systems are introduced in this paper: dynamic versions of the asymmetric inclusion process (ASIP) and the asymmetric Brownian energy process (ABEP). Du…

math.PR2023★ 2 cited

A Generalized Dynamic Asymmetric Exclusion Process: Orthogonal Dualities and Degenerations

Wolter Groenevelt, Carel Wagenaar

In this paper, a generalized version of dynamic ASEP is introduced, and it is shown that the process has a Markov duality property with the same process on the reversed lattice. Th…

math.QA2022★ 4 cited

An Askey-Wilson Algebra of Rank 2

Wolter Groenevelt, Carel Wagenaar

An algebra is introduced which can be considered as a rank 2 extension of the Askey-Wilson algebra. Relations in this algebra are motivated by relations between coproducts of twist…