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

16 citations

Showing 2022Show all

7 papers · 1 filter

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…