Les publications

G. Parez, P.-A. Bernard, N. Crampe, L. Vinet, Multipartite information of free fermions on Hamming graphs, (2023), accepté pour publication dans Nuclear Physics B, arXiv:2212.09158

H. Miki, S. Tsujimoto, L. Vinet, The single-indexed exceptional Krawtchouk polynomial (2023), accepté pour publication dans J. Difference equations and Applications, arXiv: 2201.12359

V. Vichhea Chea, L. Vinet, M. Zaimi and A. Zhedanov, An algebraic treatment of the Pastro polynomials on the real line, (2023), accepté pour publications dans Proc AMS, arXiv:2210.15260

N. Crampé, L. Poulin d’Andecy, L. Vinet, M. Zaimi, Askey-Wilson braid algebra and centralizer of Uq(sl2), Annales Henri Poincaré (2023) https://doi.org/10.1007/s00023-023-01275-4, arXiv: 2206.11150

P.-A. Bernard, N. Crampé, L. Vinet, An explanation of the commuting operator "miracle" in time and band limiting,(2023), accepté pour publication dans Journal of Fourier Analyses and Applications, arXiv: 2201.03646

N. Crampe, L. Poulain d'Andecy, L. Vinet, The missing label of 𝔰𝔲3 and its symmetry, Communications in Mathematical Physics DOI: 10.1007/s00220-022-04596-3 (2023), arXiv: 2110.03521

P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Hamming Graphs, Nuclear Physics Section B 986 (2023) 116061, arXiv: 2103.15742

P.-A. Bernard, G. Carcone, N. Crampe, L. Vinet, Bethe ansatz diagonalization of the Heun-Racah operator, Letters in Mathematical Physics (2023) 113:8 DOI:10.1007/s11005-023-01633-7, arXiv: 2209.09213

H. Miki, S. Tsujimoto, L. Vinet, Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials (2022), Journal of Mathematical Physics, 63, 103502 (2022); https://doi.org/10.1063/5.0084854, arXiv: 2201.023374

P-A. Bernard, N. Crampé, R. I. Nepomechie, G. Parez, L. Poulain d’Andecy, L. Vinet, Entanglement of inhomogeneous free fermions on hyperplane lattices, Nuclear Physics, Section B, 984 (2022) 115975, arXiv: 2206.06509

P.-A. Bernard, N. Crampé, L. Vinet, Time and band limiting operator and Bethe ansatz, J. Phys. A: Math. Theor., 55 (2022) 285201, arXiv: 2201.04589

L. Vinet, A. Zhedanov, Free boson realization of the Dunkl intertwining operator in one dimension, Reviews in Mathematical Physics (2022) DOI:10.1142/S0129055X22500258, arXiv: 2202.03139

H. Miki, S. Tsujimoto, L. Vinet, Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials, Prog. Theor. Exp. Phys. (2022) 053A01 DOI: 10.1093/ptep/ptac069, arXiv: 2009.06195

N. Crampé, L. Vinet, M. Zaimi, Chern-Simons theory, link invariants and the Askey- Wilson algebra, Nuclear Physics B 982 (2022) 115878, arXiv: 2204.12387

G. Bergeron, J. Gaboriaud, L. Vinet, A. Zhedanov, The rational Sklyanin algebra and the Wilson and para-Racah polynomials, J. Math. Phys., (2022), DOI:10.1063/5.0050471, arXiv: 2103.09631

I. Bussière, J. Gaboriaud, L. Vinet, A. Zhedanov, Bispectrality and biorthogonality of the rational functions of q-Hahn type (2022), J. Math. Anal. Appl. 516 (2022) 126443, arXiv: 2202.05925

P.-A. Bernard, N. Crampé, L. Vinet, The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and Uq(sl2), Discrete Mathematics, 345, 12, 113169 (2022), arXiv: 2108.1389

N. Crampé, D. Shaaban Kabakibo, L. Vinet, The SU(3)⊃SO(3) missing label problem and the analytical Bethe ansatz, International Journal of Modern Physics A, Vol. 37, No. 08, 2250038 (2022), arXiv: 2112.09736

H. Schérer, L. Vinet, A. Zhedanov, A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials, Physics Letters A., 431, 127973 (2022), arXiv: 2110.01042

H. Schérer, L. Vinet, A. Zhedanov, Analytic "Newton’s craddles" with perfect transfer and fractional revival, Annals of Physics, 439, 168790 (2022), arXiv: 2108.09386

N. Crampé, J. Gaboriaud, L. Poulain D’Andecy, L. Vinet, Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincaré series, Annales Henri Poincaré 23, 2657-2682 (2022), arXiv: 2105.01086

A. Beaudoin, G. Bergeron, A. Brillant, J. Gaboriaud, L. Vinet, A. Zhedanov, Orthogonal polynomials and the deformed Jordan plane, Journal of Mathematical Analysis and Applications, 507, (2022) 125717, arXiv: 2104.13960

N. Crampé, L. Vinet, M. Zaimi, Braid group and q-Racah polynomials, Proceedings of the American Mathematical Society, 150, 3, (2022), 951–966, arXiv: 2106.02416

L. Vinet, A. Zhedanov, An algebraic treatment of the Askey biorthogonal polynomials on the unit circle, (2021), Forum of Mathematics, Sigma 9 (2021) E68 1-28. doi:10.1017/fms.2021.60, arXiv: 2102.01779

N. Crampé, L. Poulain D’Andecy, L. Vinet, A Calabi-Yau algebra with E6 symmetry and the Clebsch-Gordan series of sl(3), Journal of Lie Theory, 31, (2021) 1085-1112, arXiv: 2005.13444

P.-A. Bernard, N. Crampé, D. Shaaban Kabakibo, L. Vinet, Heun operator of Lie type and the modified algebraic Betheansatz, J. Math. Phys. 62, 083501 (2021), arXiv: 2011.11659

N. Crampé, L. Vinet, M. Zaimi, Temperley-Lieb, Birman-Murakami-Wenzl and Askey- Wilson algebras and other centralizers of Uq(sl2), Annales Henri Poincaré 22, 3499- 3528 (2021) , arXiv: 2008.04905

N. Crampé, R. I. Nepomechie, L. Vinet, Entanglement in Fermionic Chains and Bispectrality, Reviews in Mathematical Physics, 33, 2140001 (2021), reproduit du livre Roman Jackiw 80th Birthday Festschrift, édité par A. Niemi, T. Tomboulis, K.K. Phua (World scientific 2020) arXiv:2001.10576

L. Vinet, A. Zhedanov, A note on su(2) models and the biorthogonality of generating functions of Krawtchouk polynomials, C.R. Math. Rep. Acad. Sci. Canada 43, pp. 46-62 (2021), arXiv:2104.01430

N. Crampé, L. Frappat, J. Gaboriaud, L. Poulain d’Andecy, E. Ragoucy, L. Vinet, The Askey-Wilson algebra and its avatars, J. Phys. A: Math. Theor. 54, 063001 (2021), arXiv:2009.14815

G. Bergeron, J. Gaboriaud, L. Vinet, A. Zhedanov, Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials, J. Math. Phys. 62, 013505 (2021), arXiv: 2008.03266

S. Tsujimoto, L. Vinet, A. Zhedanov, The rational Heun operator and Wilson biorthogonal functions, The Ramanujan Journal (2021), arXiv: 1912.11571

L. Vinet, A. Zhedanov, A unified algebraic underpinning for the Hahn polynomials and rational functions, Journal of Mathematical Analysis and Applications, 497, 124863 (2021) arXiv: 2009.05905

S. Tsujimoto, L. Vinet, A. Zhedanov, An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type, Proc. Am. Math. Soc., 149, 715-728 (2021), arXiv: 2005.04217

N. Crampé, W. van de Vijver, L. Vinet, Racah problems for the oscillator algebra, the Lie algebra sln, and multivariate Krawtchouk polynomials, Annales Henri Poincaré, 21, 3939-3971 (2020), arXiv: 1909.12643

N. Crampé, K. Guo, L. Vinet, Entanglement of Free Fermions on Hadamard Graphs, Nuclea r Physics B 960, 115176 (2020), arXiv: 2008.04925

J. Gaboriaud, S. Tsujimoto, L. Vinet, A. Zhedanov, Degenerate Sklyanin algebras, Askey- Wilson polynomials and Heun operators, (2020), J. Phys. A: Math. Theor. 53, 445204 (2020), arXiv: 2005.06961

N. Crampé, D. Shaaban Kabakibo, L. Vinet, New realizations of algebras of the Askey- Wilson type in terms of Lie and quantum algebras, Reviews in Mathematical Physics, 2150002, (2020), arXiv: 2005.06957

J. Gaboriaud, L. Vinet, A Howe correspondence for the algebra of the osp(1j2) Clebsch- Gordan coefficients, Phys Lett. A 384, (2020), 126746, arXiv: 2004.00109

G. Bergeron, N. Crampé, S. Tsujimoto, L. Vinet, A. Zhedanov, The Heun-Racah and Heun- Bannai-Ito algebras, J. Math. Phys. 61, 081701 (2020), arXiv: 2003.09558

P.-A. Bernard, J. Gaboriaud, L. Vinet, Superintegrability and the dual -1 Hahn algebra in superconformal quantum mechanics, Ann. Phys. (2020), 168171, arXiv: 2001- 07309

L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, The dual pair (Uq(su(1,1)), o1/2 q (2n)), q- oscillators and Askey-Wilson algebras, J. Math. Phys. 61, 041701 (2020), arXiv: 1908.04277

N. Crampé, L. Poulain d’Andecy, L. Vinet, Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2), Trans. Am. Math. Soc. 373 (2020), 4907-4932, arXiv: 1905.06346

N. Crampé, L. Vinet, M. Zaimi, Bannai-Ito algebras and the universal R-matrix of osp(1j2), Lett. Math. Phys. 110, 1043-1055 (2020), arXiv: 1909.06426

Y. Luo, S. Tsujimoto, L. Vinet, A. Zhedanov, Dunkl-Supersymmetric orthogonal functions associated with classical orthogonal polynomials, J. Phys. A: Math. Theor. 53 (2020), 085205, arXiv: 1905.09024

N. Crampé, J. Gaboriaud, L. Vinet, M. Zaimi, Revisiting the Askey-Wilson algebra with the universal R-matrix ofUq(sl(2)), J. Phys. A: Math. Theor. 53 (2020), 05LT01, (Letter), arXiv: 1908.04806

A. Chan, G. Coutinho, C. Tamon, L. Vinet, H. Zhan, Fractional Revival and Association Schemes, Discret e Math.343, (2020), 112018, arXiv: 1907.04729

L. Vinet, H. Zhan, Perfect State Transfer on Weighted Graphs of the Johnson Scheme, Lett. Math. Phys.110, 2491-2504 (2020), arXiv: 1904.08838

N. Crampé, L. Vinet, A. Zhedanov, Heun algebras of Lie type, (2019), Proc. Am. Math. Soc. 148 (2020) 1079-1094, arXiv: 1904.10643

P. Baseilhac, L. Vinet, A. Zhedanov, The q-Heun operator of big q-Jacobi type and the q- Heun algebra, The Ramanujan J. 52 (2020), 367-380, arXiv: 1808.06695

P. Baseilhac, X. Martin, L. Vinet, A. Zhedanov, Little and Big q-Jacobi polynomials and the Askey-Wilson algebra, The Ramanujan J. 51, (2020), 629-648, arXiv: 1806.02656

G. Coutinho, L. Vinet, H. Zhan, A. Zhedanov, Perfect State Transfer in a Spin Chain without Mirror Symmetry, J. Phys. A: Math. Theor. 52, (2019) 455302, arXiv: 1903.04707

N. Crampé, R. I. Nepomechie, L. Vinet, Free-Fermion entanglement and orthogonal polynomials, J. Stat. Mech. (2019) 093101, arXiv: 1907.00044

N. Crampé, L. Frappat, L. Vinet, Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra, J. Phys. A: Math. Theor. 52 (2019) 424001 - A Passion for Theoretical Physics: In Memory of Peter G. O. Freund, arXiv: 1906.03936

E. Koelink, J.-M. Lemay, L. Vinet, Convolution identities for Dunkl orthogonal polynomials from the osp(1j2) Lie superalgebra, J. Math. Phys. 60, 091701 (2019), arXiv: 1905.10420

N. Crampé, E. Ragoucy, L. Vinet, A. Zhedanov, Truncation of the reflection algebra and the Hahn algebra, J. Phys. A: Math. Theor. 52, (2019), 35LT01, arXiv: 1903.05674

L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, The q-Higgs and Askey-Wilson algebras, Nucl. Phys. B 944, (2019), 114632, arXiv: 1903.04616

P. Baseilhac, S. Tsujimoto, L. Vinet, A. Zhedanov, The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type, Ann. Henri Poincaré 20, (2019), 3091-3112, arXiv: 1811.11407

L. Frappat, J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The Higgs and Hahn algebras from a Howe duality perspective, Phys. Lett. A 383 (2019), 1531-1535, arXiv: 1811.09359

H. De Bie, P. Iliev, L. Vinet, Bargmann and Barut-Girardello models for the Racah algebra, J. Math. Phys. 60 (2019), 011701, arXiv: 1811.04203

G. Bergeron, E. Koelink, L. Vinet, SUq(3) corepresentations and bivariate q-Krawtchouk polynomials, J. Math. Phys. 60 (2019), 051701, arXiv: 1811.02065

A. Chan, G. Coutinho, C. Tamon. L. Vinet, H. Zhan, Quantum fractional revival on graphs, Discret e Applied Mathematics 269, (2019), 86-98, arXiv: 1801.09654

L. Vinet, A. Zhedanov, The Heun operator of the Hahn type, Proc. Am. Math. Soc. 147 (2019), 2987-2998, arXiv: 1808.00153

S. Tsujimoto, L. Vinet, A. Zhedanov, Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle, Constr. Approx. (2019), 50:209, arXiv: 1709.07226

H. Miki, S. Tsujimoto, L. Vinet, QuantumWalks on Graphs of the Ordered 2-Hamming Scheme and Spin Networks, Scipost Phys. 7, 001 (2019), arXiv: 1712.09200

V. X. Genest, L. Lapointe, L. Vinet, osp(1j2) and generalized Bannai–Ito algebras, Trans. Am. Math. Soc. 372(6), 4127- 4148, (2019), arXiv: 1705.03761

J.-M. Lemay, L. Vinet, Bivariate Bannai-Ito polynomials, J. Math. Phys. 59 (2018), 121703, arXiv: 1809.09705

J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The dual pair Pin(2n) x osp(1,2), the Dirac equation and the Bannai-Ito algebra, Nucl.
Phys. B 937 (2018), 226-239, arXiv: 1810.00130

F. A. Grünbaum, L. Vinet, A. Zhedanov, Algebraic Heun operator and band-time limiting, (2018), Comm. Math. Phys. 364 (2018), 1041-1068, arXiv: 1711.07862

J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The Racah algebra as a commutant and Howe duality, J. Phys. A: Math. Theor. Letters 51 (2018), 50LT01, arXiv: 1808.05261

P. Baseilhac, V. X. Genest, L. Vinet, A. Zhedanov, An embedding of the Bannai-Ito algebra in U(osp(1,2)) and -1 polynomials, Lett. Math. Phys. (2018) 1623-1634, arXiv: 1705.09737

G. Bergeron, L. Vinet, S. Tsujimoto, Generating functions for the Bannai-Ito polynomials, Proceedings of the American Mathematical Society 146 (2018), 5077-5090, arXiv: 1605.03407

J.-M. Lemay, L. Vinet, A. Zhedanov, A q-generalization of the para-Racah polynomials, Journal of Mathematical Analysis and Applications 462 (2018), 323-336, arXiv: 1708.03368

V.X. Genest, P. Iliev, L. Vinet, Coupling coefficients of suq(1,1) and multivariate q-Racah polynomials, Nuclear Physics B 927 (2018) 97-123, arXiv: 1702.04626

P.-A. Bernard, A. Chan, É. Loranger, C. Tamon, L. Vinet, A graph with fractional revival, Physics Letters A 382 (2018) 259-264, arXiv: 1710.02705

J. Gaboriaud, L. Vinet, An algebraic interpretation of the q-Meixner polynomials, Ramanujan J. 46 (2018), 127-149, arXiv: 1608.05354

S. Tsujimoto, L. Vinet, G.-F. Yu, A. Zhedanov, Symmetric abstract hypergeometric polynomials, Journal of Mathematical Analysis and Applications 458 (2018), 742-754, arXiv : 1701.04179