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20202022
most citedPrediction of Large Magnetic Moment Materials With Graph Neural Networks and Random Forests

16 citations

12 papers

math.CO2022★ 8 cited

Bivariate -polynomial association schemes

P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2

Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…

quant-ph2022★ 13 cited

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…

math-ph2022

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…

math.CA2022★ 8 cited

Bispectrality and biorthogonality of the rational functions of -Hahn type

Ismaël Bussière, Julien Gaboriaud, Luc Vinet +1

We introduce families of rational functions that are biorthogonal with respect to the -hypergeometric distribution. A triplet of -difference operators , , is shown…

math-ph2022★ 2 cited

Time and band limiting operator and Bethe ansatz

P. -A. Bernard, N. Crampe, L. Vinet

The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes…

math-ph2022★ 4 cited

Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials

Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet

Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials and their…

math.CA2022★ 3 cited

Free boson realization of the Dunkl intertwining operator in one dimension

Luc Vinet, Alexei Zhedanov

The operator that intertwines between the - Dunkl operator and the derivative is shown to have a realization in terms of the oscillator operators in one dimension. T…

math-ph2021★ 4 cited

The missing label problem and the analytical Bethe ansatz

Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet

The missing label for basis vectors of representations corresponding to the reduction can be provided by the eigenvalues of scalars in the env…

cond-mat.mtrl-sci2021★ 16 cited

Prediction of Large Magnetic Moment Materials With Graph Neural Networks and Random Forests

Sékou-Oumar Kaba, Benjamin Groleau-Paré, Marc-Antoine Gauthier +3

Magnetic materials are crucial components of many technologies that could drive the ecological transition, including electric motors, wind turbine generators and magnetic refrigera…

math-ph2021★ 5 cited

A classical model for perfect transfer and fractional revival based on -Racah polynomials

Hugo Schérer, Luc Vinet, Alexei Zhedanov

It is shown how choices based on the -Racah polynomials for the masses and spring constants along a chain give new systems that exactly allow dispersionless end-to-end transmiss…

math-ph2021★ 1 cited

Analytic "Newton's cradles" with perfect transfer and fractional revival

Hugo Schérer, Luc Vinet, Alexei Zhedanov

Analytic mass-spring chains with dispersionless pulse transfer and fractional revival are presented. These are obtained using the properties of the para-Racah polynomials. This pro…

math-ph2020

Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials

Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet

A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coeffici…