Edit Profile (opens in new tab) Mathonet, Pierre Co-Author Distance Author ID: mathonet.pierre Published as: Mathonet, Pierre; Mathonet, P. Documents Indexed: 39 Publications since 1996, including 2 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 35 Joint Publications 319 Co-Co-Authors all top 5 Co-Authors 4 single-authored 19 Marichal, Jean-Luc 6 Radoux, Fabian 3 Boniver, Fabien 3 Poncin, Norbert 2 Devillet, Jimmy 2 Frégier, Yaël 2 Tousset, Eric 1 Couceiro, Miguel 1 Gargoubi, Hichem 1 Hansoul, Sarah 1 Lecomte, Pierre B. A. 1 Leuther, Thomas 1 Niederkorn, Philippe 1 Ovsienko, Valentin Yu. 1 Paroissin, Christian 1 Rigo, Michel 1 Spizzichino, Fabio L. 1 Stipulanti, Manon 1 Teheux, Bruno 1 Tomaschek, Jörg 1 Waldhauser, Tamás 1 Zenaïdi, Naïm all top 5 Serials 4 Letters in Mathematical Physics 4 Journal of Multivariate Analysis 4 Aequationes Mathematicae 3 Journal of Nonlinear Mathematical Physics 2 Communications in Algebra 2 Discrete Applied Mathematics 2 Journal of Geometry and Physics 2 Journal of the London Mathematical Society. Second Series 2 European Journal of Operational Research 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Fuzzy Sets and Systems 1 Journal of Mathematical Psychology 1 Semigroup Forum 1 Statistics & Probability Letters 1 Applied Mathematics Letters 1 International Journal of Algebra and Computation 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Algebra and Discrete Mathematics all top 5 Fields 13 Nonassociative rings and algebras (17-XX) 13 Differential geometry (53-XX) 9 Operations research, mathematical programming (90-XX) 7 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Commutative algebra (13-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Quantum theory (81-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 235 times in 145 Documents Cited by ▼ Year ▼ On signature-based expressions of system reliability. Zbl 1219.62154 Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás 23 2011 Comparison of some modules of the Lie algebra of vector fields. Zbl 0892.58002 Lecomte, P. B. A.; Mathonet, P.; Tousset, E. 20 1996 Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108 Marichal, Jean-Luc; Mathonet, Pierre 20 2011 Joint signature of two or more systems with applications to multistate systems made up of two-state components. Zbl 1380.90100 Marichal, Jean-Luc; Mathonet, Pierre; Navarro, Jorge; Paroissin, Christian 13 2017 Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020 Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric 13 1999 Equivariant symbol calculus for differential operators acting on forms. Zbl 1035.17034 Boniver, F.; Hansoul, S.; Mathonet, P.; Poncin, N. 13 2002 IFFT-equivariant quantizations. Zbl 1145.53069 Boniver, F.; Mathonet, P. 12 2006 Natural and projectively equivariant quantizations by means of Cartan connections. Zbl 1091.53006 Mathonet, P.; Radoux, F. 12 2005 A description of \(n\)-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072 Marichal, Jean-Luc; Mathonet, Pierre 12 2011 On comparison meaningfulness of aggregation functions. Zbl 1015.91058 Marichal, Jean-Luc; Mathonet, Pierre 10 2001 On natural and conformally equivariant quantizations. Zbl 1175.53085 Mathonet, P.; Radoux, F. 8 2009 Maximal subalgebras of vector fields for equivariant quantizations. Zbl 1032.17041 Boniver, F.; Mathonet, P. 8 2001 On modular decompositions of system signatures. Zbl 1346.60132 Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio 8 2015 On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236 Marichal, Jean-Luc; Mathonet, Pierre 8 2013 Intertwining operators between some spaces of differential operators on a manifold. Zbl 0924.17017 Mathonet, P. 7 1999 Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014 Marichal, Jean-Luc; Mathonet, Pierre 7 2011 Cartan connections and natural and projectively equivariant quantizations. Zbl 1128.53015 Mathonet, P.; Radoux, F. 7 2007 Existence of natural and conformally invariant quantizations of arbitrary symbols. Zbl 1213.53107 Mathonet, P.; Radoux, F. 6 2010 Computing system signatures through reliability functions. Zbl 1264.90078 Marichal, Jean-Luc; Mathonet, Pierre 6 2013 Symmetries of modules of differential operators. Zbl 1094.17010 Gargoubi, H.; Mathonet, P.; Ovsienko, V. 4 2005 Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\). Zbl 1279.53083 Mathonet, Pierre; Radoux, Fabian 4 2011 A classification of barycentrically associative polynomial functions. Zbl 1333.39023 Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg 3 2015 On \(\mathfrak{osp}(p+1,q+1|2r)\)-equivariant quantizations. Zbl 1238.17016 Leuther, Thomas; Mathonet, Pierre; Radoux, Fabian 3 2012 Invariant bidifferential operators on tensor densities over a contact manifold. Zbl 0990.17019 Mathonet, P. 2 1999 Geometric quantities associated to differential operators. Zbl 0996.17017 Mathonet, P. 2 2000 Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra. Zbl 1164.08005 Mathonet, P.; Niederkorn, P.; Teheux, B. 1 2007 Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency. Zbl 1491.20165 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc; Mathonet, Pierre 1 2022 Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580 Marichal, Jean-Luc; Mathonet, Pierre 1 2008 On the structure of symmetric \(n\)-ary bands. Zbl 1491.20167 Devillet, Jimmy; Mathonet, Pierre 1 2021 Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency. Zbl 1491.20165 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc; Mathonet, Pierre 1 2022 On the structure of symmetric \(n\)-ary bands. Zbl 1491.20167 Devillet, Jimmy; Mathonet, Pierre 1 2021 Joint signature of two or more systems with applications to multistate systems made up of two-state components. Zbl 1380.90100 Marichal, Jean-Luc; Mathonet, Pierre; Navarro, Jorge; Paroissin, Christian 13 2017 On modular decompositions of system signatures. Zbl 1346.60132 Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio 8 2015 A classification of barycentrically associative polynomial functions. Zbl 1333.39023 Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg 3 2015 On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236 Marichal, Jean-Luc; Mathonet, Pierre 8 2013 Computing system signatures through reliability functions. Zbl 1264.90078 Marichal, Jean-Luc; Mathonet, Pierre 6 2013 On \(\mathfrak{osp}(p+1,q+1|2r)\)-equivariant quantizations. Zbl 1238.17016 Leuther, Thomas; Mathonet, Pierre; Radoux, Fabian 3 2012 On signature-based expressions of system reliability. Zbl 1219.62154 Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás 23 2011 Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108 Marichal, Jean-Luc; Mathonet, Pierre 20 2011 A description of \(n\)-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072 Marichal, Jean-Luc; Mathonet, Pierre 12 2011 Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014 Marichal, Jean-Luc; Mathonet, Pierre 7 2011 Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\). Zbl 1279.53083 Mathonet, Pierre; Radoux, Fabian 4 2011 Existence of natural and conformally invariant quantizations of arbitrary symbols. Zbl 1213.53107 Mathonet, P.; Radoux, F. 6 2010 On natural and conformally equivariant quantizations. Zbl 1175.53085 Mathonet, P.; Radoux, F. 8 2009 Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580 Marichal, Jean-Luc; Mathonet, Pierre 1 2008 Cartan connections and natural and projectively equivariant quantizations. Zbl 1128.53015 Mathonet, P.; Radoux, F. 7 2007 Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra. Zbl 1164.08005 Mathonet, P.; Niederkorn, P.; Teheux, B. 1 2007 IFFT-equivariant quantizations. Zbl 1145.53069 Boniver, F.; Mathonet, P. 12 2006 Natural and projectively equivariant quantizations by means of Cartan connections. Zbl 1091.53006 Mathonet, P.; Radoux, F. 12 2005 Symmetries of modules of differential operators. Zbl 1094.17010 Gargoubi, H.; Mathonet, P.; Ovsienko, V. 4 2005 Equivariant symbol calculus for differential operators acting on forms. Zbl 1035.17034 Boniver, F.; Hansoul, S.; Mathonet, P.; Poncin, N. 13 2002 On comparison meaningfulness of aggregation functions. Zbl 1015.91058 Marichal, Jean-Luc; Mathonet, Pierre 10 2001 Maximal subalgebras of vector fields for equivariant quantizations. Zbl 1032.17041 Boniver, F.; Mathonet, P. 8 2001 Geometric quantities associated to differential operators. Zbl 0996.17017 Mathonet, P. 2 2000 Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020 Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric 13 1999 Intertwining operators between some spaces of differential operators on a manifold. Zbl 0924.17017 Mathonet, P. 7 1999 Invariant bidifferential operators on tensor densities over a contact manifold. Zbl 0990.17019 Mathonet, P. 2 1999 Comparison of some modules of the Lie algebra of vector fields. Zbl 0892.58002 Lecomte, P. B. A.; Mathonet, P.; Tousset, E. 20 1996 all cited Publications top 5 cited Publications all top 5 Cited by 154 Authors 20 Marichal, Jean-Luc 18 Mathonet, Pierre 11 Spizzichino, Fabio L. 9 Radoux, Fabian 7 Balakrishnan, Narayanaswamy 6 Navarro, Jorge 6 Poncin, Norbert 5 Bouarroudj, Sofiane 5 Burkschat, Marco 5 Candeal, Juan Carlos 5 Couceiro, Miguel 5 Rychlik, Tomasz 5 Yi, He 4 Boujelben, Jamel 4 Induráin, Esteban 4 Teheux, Bruno 3 Bichr, Taher 3 Conley, Charles H. 3 Cui, Lirong 3 Da, Gaofeng 3 Gargoubi, Hichem 3 Grabisch, Michel 3 Lecomte, Pierre B. A. 3 Michel, Jean-Philippe 3 Samaniego, Francisco J. 3 Tounsi, Khaled 3 Zarezadeh, Somayeh 2 Asadi, Majid 2 Beliakov, Gleb 2 Bieniek, Mariusz 2 Biggs, Adam T. 2 Campión, María Jesús 2 Cha, Ji Hwan 2 Chambers, Christopher P. 2 De Santis, Emilio 2 Devillet, Jimmy 2 Eryılmaz, Serkan N. 2 Finkelstein, Maxim 2 Fripertinger, Harald 2 Gómez, Daniel Armando 2 Grabowski, Janusz 2 Hansoul, Sarah 2 Hu, Taizhong 2 Khudaverdian, Hovhannes M. 2 Lehtonen, Erkko 2 Marques Pereira, Ricardo Alberto 2 Mesiar, Radko 2 Mohammadi, Leila 2 Montero, Javier 2 Ovsienko, Valentin Yu. 2 Saoudi, Zina 2 Šilhan, Josef 2 Tomaschek, Jörg 2 Wolak, Robert A. 1 Arnold, Barry Charles 1 Arriaza, Antonio 1 Ashrafi, Somayeh 1 Ayari, Mohamed Iadh 1 Barrera, Javiera 1 Boniver, Fabien 1 Borgonovo, Emanuele 1 Borkotokey, Surajit 1 Bortot, Silvia 1 Bustince Sola, Humberto 1 Cabrer, Leonardo Manuel 1 Calvo, Tomasa 1 Čap, Andreas 1 Cardin, Marta 1 Catalán, Raquel G. 1 Cerqueti, Roy 1 Chan, Ping-Shing 1 Colini-Baldeschi, Riccardo 1 Covert, Ian C. 1 Daengsaen, Jukkrit 1 Dubois, Didier 1 Duval, Christian 1 Eftekhar, Sana 1 Fantozzi, Fabio 1 Faouzi, Ammar 1 Fedrizzi, Mario 1 Fernández-Martínez, Pedro 1 Fernández-Sánchez, Juan 1 Foschi, Rachele 1 Franko, Ceki 1 Frégier, Yaël 1 Galeotti, Marcello 1 Garay, José C. 1 García-Lapresta, José Luis 1 Gertsbakh, Ilya B. 1 Gilkey, Peter B. 1 Grantcharov, Dimitar 1 Guha, Partha 1 Guo, Zhouxia 1 Hamza, Raouafi 1 James, Simon 1 Jin, LeSheng 1 Kaouthar, Kamoun 1 Kolesárová, Anna 1 Kumar, Rajnish 1 Lagos, Guido R. ...and 54 more Authors all top 5 Cited in 60 Serials 11 Fuzzy Sets and Systems 9 Methodology and Computing in Applied Probability 7 Journal of Geometry and Physics 7 Aequationes Mathematicae 7 European Journal of Operational Research 6 Letters in Mathematical Physics 6 Journal of Applied Probability 5 Advances in Applied Probability 5 Journal of Nonlinear Mathematical Physics 4 Communications in Algebra 4 Semigroup Forum 4 Probability in the Engineering and Informational Sciences 3 Journal of Mathematical Analysis and Applications 3 Advances in Mathematics 3 Information Sciences 3 Journal of Multivariate Analysis 3 Indagationes Mathematicae. New Series 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Journal of Mathematical Physics 2 Annales de l’Institut Fourier 2 Journal of Mathematical Psychology 2 Annals of Operations Research 2 Communications in Statistics. Theory and Methods 2 Test 2 Top 2 Central European Journal of Mathematics 2 Journal of Intelligent and Fuzzy Systems 1 Indian Journal of Pure & Applied Mathematics 1 Metrika 1 Theoretical and Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Algebra Universalis 1 Czechoslovak Mathematical Journal 1 Journal of Economic Theory 1 Kybernetika 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Mathematical Social Sciences 1 Statistics & Probability Letters 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Social Choice and Welfare 1 Applied Mathematics Letters 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Communications in Statistics. Simulation and Computation 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Finance 1 Algebras and Representation Theory 1 Extremes 1 Applied Stochastic Models in Business and Industry 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Journal of Machine Learning Research (JMLR) 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Axioms 1 Dependence Modeling all top 5 Cited in 32 Fields 36 Statistics (62-XX) 34 Probability theory and stochastic processes (60-XX) 33 Differential geometry (53-XX) 31 Nonassociative rings and algebras (17-XX) 28 Operations research, mathematical programming (90-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Global analysis, analysis on manifolds (58-XX) 12 Difference and functional equations (39-XX) 10 Quantum theory (81-XX) 9 Computer science (68-XX) 8 Measure and integration (28-XX) 7 Group theory and generalizations (20-XX) 6 Mathematical logic and foundations (03-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Associative rings and algebras (16-XX) 4 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Information and communication theory, circuits (94-XX) 2 General algebraic systems (08-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year