4 papers
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…
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…
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…
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…