69 citations · 609 across the 29 of their papers we have counts for
20 papers · 1 filter
-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: 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…
Back to baxterisation
N. Crampe, E. Ragoucy, M. Vanicat
In the continuity of our previous paper arXiv:1509.05516, we define three new algebras, , and , that are close to the braid algebra. They allow to buil…
Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
Nicolas Crampe
We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous m…
Integrable boundary conditions for multi-species ASEP
N. Crampe, C. Finn, E. Ragoucy +1
The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. A…
A new braid-like algebra for Baxterisation
N. Crampe, L. Frappat, E. Ragoucy +1
We introduce a new Baxterisation for R-matrices that depend separately on two spectral parameters. The Baxterisation is based on a new algebra, close to but different from the brai…