Publications (229)
A Bochner Theorem for Dunkl Polynomials
Luc Vinet, Alexei Zhedanov
A Super-Integrable Discretization of the Calogero Model
Hideaki Ujino, Luc Vinet, Haruo Yoshida
Entanglement of Free Fermions on Hadamard Graphs
Nicolas Crampe, Krystal Guo, Luc Vinet
Entanglement Hamiltonian and orthogonal polynomials
Pierre-Antoine Bernard, Riccarda Bonsignori, Viktor Eisler +2
A bivariate $Q$-polynomial structure for the non-binary Johnson scheme
Nicolas Crampe, Luc Vinet, Meri Zaimi +1
Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +2
Racah problems for the oscillator algebra, the Lie algebra $\mathfrak{sl}_n$, and multivariate Krawtchouk polynomials
Nicolas Crampé, Wouter van de Vijver, Luc Vinet
Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
A Quantum Analogue of the Boson-Fermion Correspondence
A. Hamid Bougourzi, Luc Vinet
Algebraic interpretation of discrete families of matrix valued orthogonal polynomials
Quentin Labriet, Lucia Morey, Luc Vinet
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
Entanglement of Free Fermions on Hamming Graphs
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
More on the q-oscillator algebra and q-orthogonal polynomials
Roberto Floreanini, Jean LeTourneux, Luc Vinet
Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
Chern-Simons theory, link invariants and the Askey-Wilson algebra
Nicolas Crampé, Luc Vinet, Meri Zaimi
The Higgs and Hahn algebras from a Howe duality perspective
Luc Frappat, Julien Gaboriaud, Luc Vinet +2
A Laplace-Dunkl equation on $S^2$ and the Bannai-Ito algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The Racah algebra as a commutant and Howe duality
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
Spin Chains, Graphs and State Revival
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Bannai-Ito polynomials and dressing chains
Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet +1
Exact Fractional Revival in Spin Chains
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Entanglement of inhomogeneous free fermions on hyperplane lattices
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +3
Two entangled and scientifically impactful lives: JiÅà Patera, Pavel Winternitz and the Montréal School of Mathematical Physics
Luc Vinet
Sklyanin-like algebras for ($q$-)linear grids and ($q$-)para-Krawtchouk polynomials
Geoffroy Bergeron, Julien Gaboriaud, Luc Vinet +1
Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra
Nicolas Crampe, Luc Frappat, Luc Vinet
Superintegrability in two dimensions and the Racah-Wilson algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Symmetric abstract hypergeometric polynomials
Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu +1
Orthogonal polynomials and the deformed Jordan plane
André Beaudoin, Geoffroy Bergeron, Antoine Brillant +3
Birth and death processes and quantum spin chains
Alberto F. Grünbaum, Luc Vinet, Alexei Zhedanov
Supersymmetry in the Non-Commutative Plane
Luc Lapointe, Hideaki Ujino, Luc Vinet
Spin lattices, state transfer and bivariate Krawtchouk polynomials
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
Bannai-Ito algebras and the universal R-matrix of osp(1|2)
Nicolas Crampe, Luc Vinet, Meri Zaimi
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Luc Vinet, Alexei Zhedanov
A novel analytic spin chain model with fractional revival
Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov
The Bannai-Ito algebra and some applications
Hendrik De Bie, Vincent X. Genest, Satoshi Tsujimoto +2
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$
A. Hamid Bougourzi, Luc Vinet
Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
Pierre-Antoine Bernard, Rafael I. Nepomechie, Gilles Parez +3
The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras
Luc Frappat, Julien Gaboriaud, Eric Ragoucy +1
The generalized Racah algebra as a commutant
Julien Gaboriaud, Luc Vinet, Stéphane Vinet +1
Dunkl shift operators and Bannai-Ito polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
Superintegrability and the dual $-1$ Hahn algebra in superconformal quantum mechanics
Pierre-Antoine Bernard, Julien Gaboriaud, Luc Vinet
The Quantum Dynamics of the Compactified Trigonometric Ruijsenaars-Schneider Model
Jan Felipe van Diejen, Luc Vinet
d-Orthogonal polynomials and su(2)
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Morse momentum wavefunctions and rational functions
Luc Vinet, Alexei Zhedanov
A superintegrable finite oscillator in two dimensions with SU(2) symmetry
Hiroshi Miki, Sarah Post, Luc Vinet +1
Spectral surgery and high-fidelity quantum state transfer in $XX$ chains
Luc Vinet, Alexei Zhedanov
A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
Quantum State Transfer in Graphs with Tails
Pierre-Antoine Bernard, Christino Tamon, Luc Vinet +1
Exact operator solution of the Calogero-Sutherland model
Luc Lapointe, Luc Vinet
A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture
Luc Lapointe, Luc Vinet
Algebras behind the bispectrality of the Wilson rational functions and their ${}_4Ï_3$ limits
Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet +1
The Heun-Racah and Heun-Bannai-Ito algebras
Geoffroy Bergeron, Nicolas Crampé, Satoshi Tsujimoto +2
Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Bannai-Ito algebras and the $osp(1,2)$ superalgebra
Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver +1
Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2)
Nicolas Crampe, Loïc Poulain d'Andecy, Luc Vinet
Exactly solvable inhomogeneous XY spin chain
Pierre-Antoine Bernard, Nicolas Crampé, Quentin Labriet +2
Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +3
A superintegrable discrete oscillator and two-variable Meixner polynomials
Julien Gaboriaud, Vincent X. Genest, Jessica Lemieux +1
On an integrable system related to the relativistic Toda lattice -Bäcklund transformation and integrable discretization
Luc Vinet, Guo-Fu Yu, Ying-Nan Zhang
Rational Heun operators on $q$-linear grids
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics
Luc Vinet
A higher rank Racah algebra and the $\mathbb{Z}_2^{n}$ Laplace-Dunkl operator
Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver +1
The q-Heun operator of big q-Jacobi type and the q-Heun algebra
Pascal Baseilhac, Luc Vinet, Alexei Zhedanov
Little and Big $q-$Jacobi Polynomials and the Askey-Wilson algebra
Pascal Baseilhac, Xavier Martin, Luc Vinet +1
Askey-Wilson braid algebra and centralizer of $U_q(\mathfrak{sl}_2)$
Nicolas Crampe, Loic Poulain d'Andecy, Luc Vinet +1
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet +1
The singular and the 2:1 anisotropic Dunkl oscillators in the plane
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Meta Algebras and Biorthogonal Rational Functions: The Hahn Case
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
The CMV bispectrality of the Jacobi polynomials on the unit circle
Luc Vinet, Alexei Zhedanov
Multipartite information of free fermions on Hamming graphs
Gilles Parez, Pierre-Antoine Bernard, Nicolas Crampé +1
Entanglement of Free Fermions on Johnson Graphs
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Generalized squeezed-coherent states of the finite one-dimensional oscillator and matrix multi-orthogonality
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Jordan algebras and orthogonal polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
An algebraic treatment of the Pastro polynomials on the real line
Vutha Vichhea Chea, Luc Vinet, Meri Zaimi +1
The Dunkl oscillator in the plane II : representations of the symmetry algebra
Vincent X. Genest, Mourad E. H. Ismail, Luc Vinet +1
Heun operator of Lie type and the modified algebraic Bethe ansatz
Pierre-Antoine Bernard, Nicolas Crampe, Dounia Shaaban Kabakibo +1
Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
Pierre-Antoine Bernard, Zachary Mann, Gilles Parez +1
$\mathfrak {osp}(1,2)$ and generalized Bannai-Ito algebras
vincent X. Genest, Luc Lapointe, Luc Vinet
An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
The equitable Racah algebra from three su(1,1) algebras
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
An Algebraic Model for the Multiple Meixner Polynomials of the First Kind
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet +1
An algebraic interpretation of the continuous big q-Hermite polynomials
Roberto Floreanini, Jean LeTourneux, Luc Vinet
Dynamical Invariants and Berry's Phase for Generalized Driven Harmonic Oscillators
Barbara Sanborn, Sergei K. Suslov, Luc Vinet
The $q-$Onsager algebra and multivariable $q-$special functions
Pascal Baseilhac, Luc Vinet, Alexei Zhedanov
New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras
Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet
Analytic next-to-nearest neighbour XX models with perfect state transfer and fractional revival
Matthias Christandl, Luc Vinet, Alexei Zhedanov
The Hahn superalgebra and supersymmetric Dunkl oscillator models
Vincent X. Genest, Jean-Michel Lemay, Luc Vinet +1
The Heun operator of Hahn type
Luc Vinet, Alexei Zhedanov
Algebraic Leonard trio approach to rational functions: the Hahn case
Nicolas Crampé, Quentin Labriet, Lucia Morey +1
Truncation of the reflection algebra and the Hahn algebra
Nicolas Crampe, Eric Ragoucy, Luc Vinet +1
The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2)
Vincent X Genest, Luc Vinet, Alexei Zhedanov
Bethe ansatz diagonalization of the Heun-Racah operator
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe +1
Bispectrality of the sieved Jacobi polynomials
Luc Vinet, Alexei Zhedanov
CMV matrices and little and big -1 Jacobi polynomials
Maxim Derevyagin, Luc Vinet, Alexei Zhedanov
The equitable presentation of $\mathfrak{osp}_q(1|2)$ and a $q$-analog of the Bannai-Ito algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Distinctive features of inhomogeneous spin chains
Pierre-Antoine Bernard, Gilles Parez, Luc Vinet
Bivariate Bannai-Ito polynomials
Jean-Michel Lemay, Luc Vinet