209 citations · 1.2k across the 77 of their papers we have counts for
81 papers
Quadratic Poisson brackets for the Camassa--Holm peakons
J. Avan, L. Frappat, E. Ragoucy
We establish quadratic Poisson brackets for the generalized Camassa--Holm peakon structure introduced in \cite{AFR23}. The calculation is based on the halving of the spectral param…
-deformed Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +1
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R.…
Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +3
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the l…
-Griffiths polynomials: Bispectrality and biorthogonality
N. Crampe, L. Frappat, J. Gaboriaud +3
We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter . These -Griffiths polynomials are bivariate, bispectral and biorthogona…
A new integrable structure associated to the Camassa-Holm peakons
J. Avan, L. Frappat, E. Ragoucy
We provide a closed Poisson algebra involving the Ragnisco--Bruschi generalization of peakon dynamics in the Camassa--Holm shallow-water equation. This algebra is generated by thre…
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy +1
We propose a definition by generators and relations of the rank Askey-Wilson algebra for any integer , generalising the known presentation for the usual…