16 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de MontréalCA11 papers
- Centre de recherches mathématiquesCA10 papers
- Institut Denis PoissonFR5 papers
- Université de ToursFR5 papers
- Université d'OrléansFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Renmin University of ChinaCN4 papers
- Kyoto UniversityJP2 papers
- CRM-CNRS International Research LaboratoryCA1 paper
- Japan Meteorological AgencyJP1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Laboratoire de Mathématiques de ReimsFR1 paper
7 papers · 1 filter
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…
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…
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…
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…
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…
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…