18 citations · 31 across the 10 of their papers we have counts for
10 papers
Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
The rank two Jacobi algebra is used to provide an interpretation of the two-variable Jacobi polynomials on the triangle, as overlaps betwee…
symmetry of XX spin chains
Nicolas Crampé, Rafael I. Nepomechie, Luc Vinet +1
We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact symmetry wh…
Exactly solvable inhomogeneous XY spin chain
Pierre-Antoine Bernard, Nicolas Crampé, Quentin Labriet +2
Analytical expressions for the eigenvalues of certain inhomogeneous XY spin chains are computed. These models are rewritten in terms of free-fermion models using a well-known Jorda…
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
This paper classifies the contiguity relations for finite families of polynomials within the (-)Askey scheme. The necessary and sufficient conditions for the existence of these…
Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +2
This paper offers a review of recent studies on the entanglement of free-fermion systems on graphs that take advantage of methods pertaining to signal processing and algebraic comb…
Multipartite information of free fermions on Hamming graphs
Gilles Parez, Pierre-Antoine Bernard, Nicolas Crampé +1
We investigate multipartite information and entanglement measures in the ground state of a free-fermion model defined on a Hamming graph. Using the known diagonalization of the adj…
Chern-Simons theory, link invariants and the Askey-Wilson algebra
Nicolas Crampé, Luc Vinet, Meri Zaimi
The occurrence of the Askey-Wilson (AW) algebra in the Chern-Simons (CS) theory and in the Reshetikhin-Turaev (RT) link invariant construction with quantum algebra $U_q(\ma…
Braid group and -Racah polynomials
Nicolas Crampé, Luc Vinet, Meri Zaimi
The irreducible representations of two intermediate Casimir elements associated to the recoupling of three identical irreducible representations of are consi…
Entanglement in Fermionic Chains and Bispectrality
Nicolas Crampé, Rafael I. Nepomechie, Luc Vinet
Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a…
Veronese subsequent analytic solutions of the sigma model equations described via Krawtchouk polynomials
Nicolas Crampé, Alfred Michel Grundland
The objective of this paper is to establish a new relationship between the Veronese subsequent analytic solutions of the Euclidean sigma model in two dimensions…