Publications and communications of Pierre Mathonet

Couceiro, M., Devillet, J., Marichal, J.-L., & Mathonet, P. (In press). Reducibility of n-ary semigroups: from quasitriviality towards idempotency. Beiträge zur Algebra und Geometrie. doi:10.1007/s13366-020-00551-2

Devillet, J., & Mathonet, P. (In press). On the structure of symmetric n-ary bands. International Journal of Algebra and Computation. doi:10.1142/S0218196721500478

Mathonet, P., Rigo, M., Stipulanti, M., & Zenaïdi, N. (2022). On digital sequences associated with Pascal's triangle. Aequationes Mathematicae. doi:10.1007/s00010-022-00932-z

Devillet, J., & Mathonet, P. (27 August 2020). Decomposition schemes for symmetric n-ary bands [Paper presentation]. 1st International Conference on Algebras, Graphs and Ordered Sets (ALGOS 2020), Nancy, France.

Mathonet, P. (2019). Mathématiques élémentaires (du point de vue universitaire). (ULiège - Université de Liège, MATH0073-1 Mathématiques élémentaires).

Mathonet, P. (2018). Probabilités et statistiques de base. (ULiège - Université de Liège, SDOC029-1 Probabilités et statistiques de base).

Marichal, J.-L., Mathonet, P., Navarro, J., & Paroissin, C. (01 December 2017). Joint signature of two or more systems with applications to multistate systems made up of two-state components. European Journal of Operational Research, 263 (2), 559-570. doi:10.1016/j.ejor.2017.06.022

Marichal, J.-L., & Mathonet, P. (August 2017). A classification of polynomial functions satisfying the Jacobi identity over integral domains. Aequationes Mathematicae, 91 (4), 601-618. doi:10.1007/s00010-017-0477-8

Marichal, J.-L., Mathonet, P., & Tomaschek, J. (October 2015). A classification of barycentrically associative polynomial functions. Aequationes Mathematicae, 89 (5), 1281-1291. doi:10.1007/s00010-014-0332-0

Neven, A., Mathonet, P., Gühne, O., & Bastin, T. (September 2015). Maximal fidelity between symmetric multiqubit states and entanglement classes [Poster presentation]. 2015 summer school on Quantum Information, Computing and Control (QuICC), Warwick, United Kingdom.

Marichal, J.-L., Mathonet, P., & Spizzichino, F. (February 2015). On modular decompositions of system signatures. Journal of Multivariate Analysis, 134, 19-32. doi:10.1016/j.jmva.2014.10.002

Mathonet, P. (2015). Topologie générale. (ULiège - Université de Liège, MATH0212-2 Topologie générale).

Marichal, J.-L., & Mathonet, P. (2014). Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach. Discrete Applied Mathematics, 179, 13-27. doi:10.1016/j.dam.2014.05.039

Marichal, J.-L., & Mathonet, P. (March 2013). On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Journal of Multivariate Analysis, 115, 48-56. doi:10.1016/j.jmva.2012.09.002

Marichal, J.-L., & Mathonet, P. (March 2013). Computing system signatures through reliability functions. Statistics and Probability Letters, 83 (3), 710-717. doi:10.1016/j.spl.2012.11.018

Leuther, T., Mathonet, P., & Radoux, F. (2012). On osp(p+1,q+1|2r)-equivariant quantizations. Journal of Geometry and Physics, 62, 87-99. doi:10.1016/j.geomphys.2011.09.003

Marichal, J.-L., & Mathonet, P. (2012). Symmetric approximations of pseudo-Boolean functions with applications to influence indexes. Applied Mathematics Letters, 25 (8), 1121-1126. doi:10.1016/j.aml.2012.02.017

Marichal, J.-L., & Mathonet, P. (2012). A classification of bisymmetric polynomial functions over integral domains of characteristic zero. Aequationes Mathematicae, 84, 125-136. doi:10.1007/s00010-012-0130-5

Marichal, J.-L., & Mathonet, P. (2011). Weighted Banzhaf power and interaction indexes through weighted approximations of games. European Journal of Operational Research, 211, 352-358. doi:10.1016/j.ejor.2010.11.027

Marichal, J.-L., & Mathonet, P. (2011). Measuring the interactions among variables of functions over the unit hypercube. Journal of Mathematical Analysis and Applications, 380, 105-116. doi:10.1016/j.jmaa.2011.02.040

Marichal, J.-L., & Mathonet, P. (2011). Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations. Journal of Multivariate Analysis, 102, 931-936. doi:10.1016/j.jmva.2011.01.010

Marichal, J.-L., & Mathonet, P. (2011). A description of n-ary semigroups polynomial-derived from integral domains. Semigroup Forum. doi:10.1007/s00233-011-9295-9

Marichal, J.-L., Mathonet, P., & Waldhauser, T. (2011). On signature-based expressions of system reliability. Journal of Multivariate Analysis, 102 (10), 1410-1416. doi:10.1016/j.jmva.2011.05.007

Mathonet, P., & Radoux, F. (2011). Projectively equivariant quantizations over the superspace R^{p|q}. Letters in Mathematical Physics, 98 (3), 311-331. doi:10.1007/s11005-011-0474-0

Marichal, J.-L., & Mathonet, P. (2010). Measuring the Interactions among Variables of Functions over the Unit hypercube. In Modeling Decisions for Artificial Intelligence 7th International Conference, MDAI 2010 (pp. 19-30). Berlin, Germany: Springer. doi:10.1007/978-3-642-16292-3_5

Marichal, J.-L., & Mathonet, P. (2010). Measuring the Influence of the kth Largest Variable on Functions over the Unit Hypercube. In Modeling Decisions for Artificial Intelligence 7th International Conference, MDAI 2010 (pp. 7-18). Berlin, Germany: Springer.

Mathonet, P., & Radoux, F. (2010). Existence of natural and conformally invariant quantizations of arbitrary symbols. Journal of Nonlinear Mathematical Physics, 17, 539-556. doi:10.1142/S1402925110001057

Mathonet, P., & Radoux, F. (2009). On natural and conformally invariant quantizations. Journal of the London Mathematical Society, 80 (1), 256-272. doi:10.1112/jlms/jdp024

Frégier, Y., Mathonet, P., & Poncin, N. (2008). Decomposition of symmetric tensor fields in the presence of a flat contact projective structure. Journal of Nonlinear Mathematical Physics, 15 (2), 252-269. doi:10.2991/jnmp.2008.15.2.10

Marichal, J.-L., & Mathonet, P. (01 January 2008). Approximations of Lovász extensions and their induced interaction index. Discrete Applied Mathematics, 156 (1), 11-24. doi:10.1016/j.dam.2007.07.011

Mathonet, P., & Radoux, F. (2007). Cartan connections and natural and projectively equivariant quantizations. Journal of the London Mathematical Society, 76, 87-104. doi:10.1112/jlms/jdm030

Boniver, F., & Mathonet, P. (April 2006). IFFT-equivariant quantizations. Journal of Geometry and Physics, 56 (4), 712-730. doi:10.1016/j.geomphys.2005.04.014

Mathonet, P. (2006). Equivariant quantizations and Cartan connections. Bulletin of the Belgian Mathematical Society Simon Stevin, 13 (5), 857-874. doi:10.36045/bbms/1170347809

Gargoubi, H., Mathonet, P., & Ovsienko, V. (August 2005). Symmetries of modules of differential operators. Journal of Nonlinear Mathematical Physics, 12 (3), 348-380. doi:10.2991/jnmp.2005.12.3.4

Mathonet, P., & Radoux, F. (2005). Natural and projectively equivariant quantizations by means of Cartan connections. Letters in Mathematical Physics, 72, 183-196. doi:10.1007/s11005-005-6783-4

Boniver, F., Hansoul, S., Mathonet, P., & Poncin, N. (December 2002). Equivariant symbol calculus for differential operators acting on forms. Letters in Mathematical Physics, 62 (3), 219-232. doi:10.1023/A:1022251607566

Billen, R., Zlatanova, S., Mathonet, P., & Boniver, F. (2002). The Dimensional Model : a framework to distinguish spatial relationships. In D. Richardson & P. Van oosterom (Eds.), Advances in Spatial Data Handling (pp. 285-298). Berlin Heidelberg, Germany: Springer-Verlag.

Marichal, J.-L., & Mathonet, P. (April 2001). On Comparison Meaningfulness of Aggregation Functions. Journal of Mathematical Psychology, 45 (2), 213-223. doi:10.1006/jmps.1999.1309

Boniver, F., & Mathonet, P. (February 2001). Maximal subalgebras of vector fields for equivariant quantizations. Journal of Mathematical Physics, 42 (2), 582-589. doi:10.1063/1.1332782

Mathonet, P. (2000). Geometric quantities associated to differential operators. Communications in Algebra, 28 (2), 699-718. doi:10.1080/00927870008826853

Marichal, J.-L., & Mathonet, P. (1999). A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property. IEEE Transactions on Fuzzy Systems, 7 (1). doi:10.1109/91.746319

Marichal, J.-L., Mathonet, P., & Tousset, E. (1999). Characterization of some functions stable for positive linear transformations. Fuzzy Sets and Systems, 102, 293-314. doi:10.1016/S0165-0114(97)00128-0

Mathonet, P. (1999). Intertwining operators between some spaces of differential operators on a manifold. Communications in Algebra, 27 (2), 755-776. doi:10.1080/00927879908826459