69 citations · 609 across the 29 of their papers we have counts for
30 papers
-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…
Representations of the rank two Racah algebra and orthogonal multivariate polynomials
Nicolas Crampe, Luc Frappat, Eric Ragoucy
The algebraic structure of the rank two Racah algebra is studied in detail. We provide an automorphism group of this algebra, which is isomorphic to the permutation group of five e…
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…
Matrix product solution to a 2-species TASEP with open integrable boundaries
N. Crampe, M. R. Evans, K. Mallick +2
We present an explicit representation for the matrix product ansatz for some two-species TASEP with open boundary conditions. The construction relies on the integrability of the mo…