Edit Profile (opens in new tab) Gauthier, Jean-Paul A. Co-Author Distance Author ID: gauthier.jean-paul-a Published as: Gauthier, Jean-Paul; Gauthier, J. P.; Gauthier, J.-P.; Gauthier, Jean-Paul A.; Gauthier, J. P. A.; Gauthier, Jean- Paul; Gauthier, Jean Paul more...less Homepage: https://pageperso.lis-lab.fr/jean-paul.gauthier/ External Links: Math-Net.Ru Documents Indexed: 116 Publications since 1976, including 4 Books 3 Contributions as Editor Co-Authors: 71 Co-Authors with 114 Joint Publications 573 Co-Co-Authors all top 5 Co-Authors 2 single-authored 17 Boscain, Ugo 12 Bornard, Guy 12 Kupka, Ivan A. K. 10 Agrachev, Andreĭ Aleksandrovich 9 Zakalyukin, Vladimir M. 8 Busvelle, Éric 8 Celle, Frédéric 7 Rossi, Francesco 6 Serres, Ulysse 5 Brivadis, Lucas 5 Prandi, Dario 5 Sacchelli, Ludovic 4 Bonnard, Bernard 4 Charlot, Grégoire 4 Deza, François 4 El Assoudi, R. 4 Rakotopara, Daniel 4 Remizov, Alexey O. 3 Boizot, Nicolas 3 Chertovskih, Roman A. 3 Gourd, François 3 Hammouri, Hassan 3 Monroy-Pérez, Felipe 3 Sallet, Gauthier 2 Ajami, Alain 2 Andrieu, Vincent 2 Berret, Bastien 2 Bossanne, Denis 2 Bounabat, Abdellah 2 Darmet, Charles 2 Duplaix, Jean 2 El Alaoui, El-Houcine Chakir 2 Lafont, Frederic 2 Lemaître, Cedric 2 Ligarius, Philippe 2 Maillot, Thibault 2 Mitéran, Johel 2 Sigalotti, Mario 2 Smach, Fethi 2 Viel, F. 1 Anzaldo-Meneses, Alfonso 1 Assoudi, Rachida El 1 Atri, Mohamed 1 Balmat, Jean-Francois 1 Barilari, Davide 1 Bilbault, Jean-Marie 1 Binczak, Stéphane 1 Bohi, Amine 1 Bonnet, Benoît 1 Bouchara, Frédéric 1 Bride, Bernard 1 Chakir El-A., El-H. 1 Chambrion, Thomas 1 Chittaro, Francesca C. 1 de Morant, J. 1 Guérin, J. P. 1 Guérin, Stéphane 1 Guis, Vincente 1 Jacquir, Sabir 1 Jakubczyk, Bronisław 1 Jauslin, Hans-Rudolf 1 Jean, Frédéric 1 Jouan, Philippe 1 Methnani, Salowa 1 Nougaret, Marcel 1 Papaxanthis, C. 1 Pessel, Nathalie 1 Romero-Meléndez, Cutberto 1 Saint-Val 1 Silbermann, Martine 1 Stefani, Gianna all top 5 Serials 12 SIAM Journal on Control and Optimization 8 Journal of Dynamical and Control Systems 7 IEEE Transactions on Automatic Control 6 Systems & Control Letters 5 Comptes Rendus de l’Académie des Sciences. Série I 4 International Journal of Control 4 Automatica 4 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Systems Theory 3 Journal of Mathematical Imaging and Vision 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 MCSS. Mathematics of Control, Signals, and Systems 2 RAIRO. Automatique-Productique, Informatique Industrielle 2 Journal of Mathematical Systems, Estimation, and Control 2 Journal of Mathematical Sciences (New York) 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 IEEE Transactions on Information Theory 1 Journal of Mathematical Physics 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 RAIRO, Automatique, Systems Analysis and Control 1 Acta Applicandae Mathematicae 1 Traitement du Signal 1 Applied Mathematics Letters 1 IEEE Transactions on Systems, Man, and Cybernetics 1 European Journal of Control 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Progress in Systems and Control Theory 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Control and Related Fields 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Jaune 1 Springer INdAM Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SpringerBriefs in Mathematics all top 5 Fields 80 Systems theory; control (93-XX) 31 Differential geometry (53-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Topological groups, Lie groups (22-XX) 12 Biology and other natural sciences (92-XX) 10 Abstract harmonic analysis (43-XX) 10 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Manifolds and cell complexes (57-XX) 6 Mechanics of particles and systems (70-XX) 4 Partial differential equations (35-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 1,345 times in 814 Documents Cited by ▼ Year ▼ A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020Gauthier, J. P.; Hammouri, H.; Othman, S. 287 1992 Deterministic observation: theory and applications. Zbl 0990.93001Gauthier, Jean-Paul; Kupka, Ivan 86 2001 Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014Gauthier, J. P.; Bornard, G. 84 1981 Observability and observers for nonlinear systems. Zbl 0802.93008Gauthier, J. P.; Kupka, I. A. K. 81 1994 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 63 2009 High gain estimation for nonlinear systems. Zbl 0779.93018Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 54 1992 An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul 39 2010 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 34 2002 Bilinearization up to output injection. Zbl 0648.93024Hammouri, H.; Gauthier, J. P. 28 1988 A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102Gauthier, J. P.; Kupka, I. 27 1992 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 23 2015 Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I. 22 1996 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 22 2014 On subsemigroups of semisimple Lie groups. Zbl 0848.93006El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K. 21 1996 Synthesis of nonlinear observers: A harmonic-analysis approach. Zbl 0691.93005Celle, F.; Gauthier, J. P.; Kazakos, D.; Sallet, G. 20 1989 Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010Gauthier, J. P.; Kupka, I.; Sallet, G. 19 1984 Global time-varying linearization up to output injection. Zbl 0771.93033Hammouri, H.; Gauthier, J. P. 18 1992 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 16 2002 Exponential observers for nonlinear systems. Zbl 0792.93046Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 16 1993 Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P. 16 1998 Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005Gauthier, J.-P.; Bornard, G. 16 1982 On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025Gauthier, Jean-Paul; Zakalyukin, Vladimir 15 2006 On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014Agrachev, Andrei; Gauthier, Jean-Paul 15 2001 Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008Gauthier, J. P.; Kupka, I. A. K. 14 1996 Stability of polymerization reactors using I/O linearization and a high- gain observer. Zbl 0825.93539Viel, F.; Busvelle, E.; Gauthier, J. P. 13 1995 Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026Jouan, P.; Gauthier, J.-P. 12 1996 An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P. 12 1995 On the codimension one motion planning problem. Zbl 1079.53049Gauthier, J.-P.; Zakalyukin, V. 9 2005 Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\). Zbl 0672.93009El Assoudi, R.; Gauthier, J. P. 9 1988 On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032Gauthier, J.-P.; Zakalyukin, V. 8 2005 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 8 2014 An observer for infinite-dimensional skew-adjoint bilinear systems. Zbl 0832.93008Gauthier, J. P.; Xu, C. Z.; Bounabat, A. 7 1995 Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507Busvelle, Eric; Gauthier, Jean-Paul 7 2005 On the Dido problem and plane isoperimetric problems. Zbl 0977.53068Agrachev, Andrei A.; Gauthier, Jean-Paul A. 7 1999 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 7 2012 On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M. 7 2000 Stabilisation des systèmes non linéaires. Zbl 0513.93045Gauthier, J. P.; Bornard, G. 6 1981 H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028Gauthier, J. P.; Xu, C. Z. 6 1991 On complexity and motion planning for co-rank one sub-Riemannian metrics. Zbl 1101.93030Romero-Meléndez, Cutberto; Gauthier, Jean Paul; Monroy-Pérez, Felipe 6 2004 A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition. Zbl 1415.68007Prandi, Dario; Gauthier, Jean-Paul 6 2018 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 Analyse et commande d’un échangeur thermique à contre-courant. (Analysis and control of a heat exchanger with counter-current). Zbl 0741.93064Xu, C.-Z.; Gauthier, J.-P. 5 1991 Motion planning and fastly oscillating controls. Zbl 1206.53035Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir 5 2010 Sensor fault reconstruction and observability for unknown inputs, with an application to wastewater treatment plants. Zbl 1245.93025Methnani, Salowa; Gauthier, Jean-Paul; Lafont, Frederic 5 2011 Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253Chittaro, Francesca C.; Gauthier, Jean-Paul 5 2018 Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024Gauthier, J. P.; Bornard, G. 5 1983 Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013Gauthier, J. P.; Kazakos, D. 5 1988 Realizations of nonlinear analytic input-output maps. Zbl 0638.93016Celle, F.; Gauthier, J. P. 5 1987 Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019Agrachev, A. A.; Gauthier, J. P. A. 5 2001 Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038Gauthier, J. P.; Bornard, G. 4 1983 Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine 4 1991 High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047Busvelle, E.; Gauthier, J. P. 4 2002 On the motion planning of the ball with a trailer. Zbl 1273.49003Boizot, Nicolas; Gauthier, Jean-Paul 4 2013 An openness condition for the controllability of nonlinear systems. Zbl 0509.93015Gauthier, J. P.; Bornard, G. 4 1982 Global realizations of analytic input-output mappings. Zbl 0602.93013Gauthier, J. P.; Bornard, G. 4 1986 Motion planning for kinematic systems. Zbl 1369.93409Boizot, Nicolas; Gauthier, Jean-Paul 4 2013 Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058Bounabat, Abdellah; Gauthier, Jean-Paul 3 1991 Controllability of right invariant systems on semi-simple Lie groups. Zbl 0839.93019El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K. 3 1995 Generic singularities of sub-Riemannian metrics on \(\mathbb{R}^ 3\). Zbl 0843.53025Agrachev, Andrei; El Alaoui, El-Houcine Chakir; Gauthier, Jean-Paul; Kupka, Ivan 3 1996 A stable control structure for binary distillation columns. Zbl 0886.93045Viel, F.; Busvelle, E.; Gauthier, J. P. 3 1997 Luenberger observers for infinite-dimensional systems, back and forth nudging, and application to a crystallization process. Zbl 1459.93056Brivadis, Lucas; Andrieu, Vincent; Serres, Ulysse; Gauthier, Jean-Paul 3 2021 Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001 3 2014 Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013Gauthier, J. P.; Bornard, G. 3 1984 Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001Gauthier, Jean-Paul 3 1984 Unitary immersions of nonlinear systems. Zbl 0626.93028Gauthier, J. P.; Guérin, J. P. 3 1986 Une méthode d’invariants de l’analyse harmonique en reconnaissance de formes. (Invariants from harmonic analysis for pattern recognition). Zbl 0679.68165Gourd, François; Gauthier, Jean-Paul 3 1989 How humans fly. Zbl 1280.93038Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse 3 2013 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 Contemporary trends in nonlinear geometric control theory and its applications. International conference, México City, México, summer 2000. Dedicated to Velimir Jurdjevic on his 60th birthday. Zbl 0984.00078 2 2002 Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014Gauthier, J. P.; Bornard, G. 2 1982 Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M. 2 2008 Finding invariants of group actions on function spaces, a general methodology from non-abelian harmonic analysis. Zbl 1148.43004Gauthier, Jean-Paul; Smach, Fethi; Lemaître, Cedric; Miteran, Johel 2 2008 Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020Gauthier, J. P.; Kupka, I. A. K. 2 1995 Geometric time optimal control in batch reactors. Zbl 0800.49025Bonnard, B.; Gauthier, J. P.; de Morant, J. 2 1991 Robot motion planning: a wild case. Zbl 1138.70316Gauthier, J. P.; Zakalyukin, V. M. 2 2005 Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic 2 2021 New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse 2 2021 Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse 2 2021 A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z. 2 1998 Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition. Zbl 1425.68365Bohi, Amine; Prandi, Dario; Guis, Vincente; Bouchara, Frédéric; Gauthier, Jean-Paul 2 2017 How humans control arm movements. Zbl 1236.93012Berret, B.; Gauthier, J.-P.; Papaxanthis, C. 2 2008 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016Celle, F.; Gauthier, J. P.; Milani, E. 2 1986 Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009El Assoudi, R.; Gauthier, J. P. 2 1989 Un résultat de stabilité des filtres de Kalman étendu continu- continu et continu-discret. (A stability result on the continuous- continuous and continuous-discrete extended Kalman filters). Zbl 0760.93076Deza, François; Busvelle, Éric; Gauthier, Jean-Paul; Rakotopara, Daniel 1 1992 Contrôlabilité sur l’espace quotient d’un group de Lie par un sous- groupe compact. (Controllability on the quotient of a Lie group by a compact subgroup). Zbl 0717.93004Assoudi, Rachida El; Gauthier, Jean-Paul 1 1990 Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009Agrachev, A. A.; Gauthier, J. P. A. 1 1999 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Entropy estimations for motion planning problems in robotics. Zbl 1152.93045Gauthier, J.-P.; Zakalyukin, V. M. 1 2007 A biomechanical inactivation principle. Zbl 1218.92012Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric 1 2010 From local to global asymptotic stabilizability for weakly contractive control systems. Zbl 1461.93411Brivadis, Lucas; Sacchelli, Ludovic; Andrieu, Vincent; Gauthier, Jean-Paul; Serres, Ulysse 1 2021 A universal gap for non-spin quantum control systems. Zbl 1457.81052Gauthier, Jean-Paul; Rossi, Francesco 1 2021 Generalized Fourier descriptors with applications to objects recognition in SVM context. Zbl 05537234Smach, Fethi; Lemaître, Cedric; Gauthier, Jean-Paul; Miteran, Johel; Atri, Mohamed 1 2008 Existence et unicité de réalisations analytiques minimales globales de systèmes non linéaires. (Existence and uniqueness of analytic minimal global realizations of nonlinear systems). Zbl 0571.93017Gauthier, Jean-Paul; Bornard, Guy 1 1984 Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012Celle, F.; Gauthier, J. P.; Kazakos, D. 1 1986 Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012Gauthier, J. P.; Celle, F. 1 1988 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 Luenberger observers for infinite-dimensional systems, back and forth nudging, and application to a crystallization process. Zbl 1459.93056Brivadis, Lucas; Andrieu, Vincent; Serres, Ulysse; Gauthier, Jean-Paul 3 2021 Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic 2 2021 New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse 2 2021 Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse 2 2021 From local to global asymptotic stabilizability for weakly contractive control systems. Zbl 1461.93411Brivadis, Lucas; Sacchelli, Ludovic; Andrieu, Vincent; Gauthier, Jean-Paul; Serres, Ulysse 1 2021 A universal gap for non-spin quantum control systems. Zbl 1457.81052Gauthier, Jean-Paul; Rossi, Francesco 1 2021 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition. Zbl 1415.68007Prandi, Dario; Gauthier, Jean-Paul 6 2018 Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253Chittaro, Francesca C.; Gauthier, Jean-Paul 5 2018 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition. Zbl 1425.68365Bohi, Amine; Prandi, Dario; Guis, Vincente; Bouchara, Frédéric; Gauthier, Jean-Paul 2 2017 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 23 2015 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 22 2014 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 8 2014 Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001 3 2014 On the motion planning of the ball with a trailer. Zbl 1273.49003Boizot, Nicolas; Gauthier, Jean-Paul 4 2013 Motion planning for kinematic systems. Zbl 1369.93409Boizot, Nicolas; Gauthier, Jean-Paul 4 2013 How humans fly. Zbl 1280.93038Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse 3 2013 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 7 2012 Sensor fault reconstruction and observability for unknown inputs, with an application to wastewater treatment plants. Zbl 1245.93025Methnani, Salowa; Gauthier, Jean-Paul; Lafont, Frederic 5 2011 An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul 39 2010 Motion planning and fastly oscillating controls. Zbl 1206.53035Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir 5 2010 A biomechanical inactivation principle. Zbl 1218.92012Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric 1 2010 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 63 2009 Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M. 2 2008 Finding invariants of group actions on function spaces, a general methodology from non-abelian harmonic analysis. Zbl 1148.43004Gauthier, Jean-Paul; Smach, Fethi; Lemaître, Cedric; Miteran, Johel 2 2008 How humans control arm movements. Zbl 1236.93012Berret, B.; Gauthier, J.-P.; Papaxanthis, C. 2 2008 Generalized Fourier descriptors with applications to objects recognition in SVM context. Zbl 05537234Smach, Fethi; Lemaître, Cedric; Gauthier, Jean-Paul; Miteran, Johel; Atri, Mohamed 1 2008 Entropy estimations for motion planning problems in robotics. Zbl 1152.93045Gauthier, J.-P.; Zakalyukin, V. M. 1 2007 On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025Gauthier, Jean-Paul; Zakalyukin, Vladimir 15 2006 On the codimension one motion planning problem. Zbl 1079.53049Gauthier, J.-P.; Zakalyukin, V. 9 2005 On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032Gauthier, J.-P.; Zakalyukin, V. 8 2005 Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507Busvelle, Eric; Gauthier, Jean-Paul 7 2005 Robot motion planning: a wild case. Zbl 1138.70316Gauthier, J. P.; Zakalyukin, V. M. 2 2005 On complexity and motion planning for co-rank one sub-Riemannian metrics. Zbl 1101.93030Romero-Meléndez, Cutberto; Gauthier, Jean Paul; Monroy-Pérez, Felipe 6 2004 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 34 2002 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 16 2002 High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047Busvelle, E.; Gauthier, J. P. 4 2002 Contemporary trends in nonlinear geometric control theory and its applications. International conference, México City, México, summer 2000. Dedicated to Velimir Jurdjevic on his 60th birthday. Zbl 0984.00078 2 2002 Deterministic observation: theory and applications. Zbl 0990.93001Gauthier, Jean-Paul; Kupka, Ivan 86 2001 On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014Agrachev, Andrei; Gauthier, Jean-Paul 15 2001 Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019Agrachev, A. A.; Gauthier, J. P. A. 5 2001 On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M. 7 2000 On the Dido problem and plane isoperimetric problems. Zbl 0977.53068Agrachev, Andrei A.; Gauthier, Jean-Paul A. 7 1999 Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009Agrachev, A. A.; Gauthier, J. P. A. 1 1999 Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P. 16 1998 A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z. 2 1998 A stable control structure for binary distillation columns. Zbl 0886.93045Viel, F.; Busvelle, E.; Gauthier, J. P. 3 1997 Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I. 22 1996 On subsemigroups of semisimple Lie groups. Zbl 0848.93006El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K. 21 1996 Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008Gauthier, J. P.; Kupka, I. A. K. 14 1996 Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026Jouan, P.; Gauthier, J.-P. 12 1996 Generic singularities of sub-Riemannian metrics on \(\mathbb{R}^ 3\). Zbl 0843.53025Agrachev, Andrei; El Alaoui, El-Houcine Chakir; Gauthier, Jean-Paul; Kupka, Ivan 3 1996 Stability of polymerization reactors using I/O linearization and a high- gain observer. Zbl 0825.93539Viel, F.; Busvelle, E.; Gauthier, J. P. 13 1995 An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P. 12 1995 An observer for infinite-dimensional skew-adjoint bilinear systems. Zbl 0832.93008Gauthier, J. P.; Xu, C. Z.; Bounabat, A. 7 1995 Controllability of right invariant systems on semi-simple Lie groups. Zbl 0839.93019El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K. 3 1995 Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020Gauthier, J. P.; Kupka, I. A. K. 2 1995 Observability and observers for nonlinear systems. Zbl 0802.93008Gauthier, J. P.; Kupka, I. A. K. 81 1994 Exponential observers for nonlinear systems. Zbl 0792.93046Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 16 1993 A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020Gauthier, J. P.; Hammouri, H.; Othman, S. 287 1992 High gain estimation for nonlinear systems. Zbl 0779.93018Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 54 1992 A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102Gauthier, J. P.; Kupka, I. 27 1992 Global time-varying linearization up to output injection. Zbl 0771.93033Hammouri, H.; Gauthier, J. P. 18 1992 Un résultat de stabilité des filtres de Kalman étendu continu- continu et continu-discret. (A stability result on the continuous- continuous and continuous-discrete extended Kalman filters). Zbl 0760.93076Deza, François; Busvelle, Éric; Gauthier, Jean-Paul; Rakotopara, Daniel 1 1992 H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028Gauthier, J. P.; Xu, C. Z. 6 1991 Analyse et commande d’un échangeur thermique à contre-courant. (Analysis and control of a heat exchanger with counter-current). Zbl 0741.93064Xu, C.-Z.; Gauthier, J.-P. 5 1991 Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine 4 1991 Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058Bounabat, Abdellah; Gauthier, Jean-Paul 3 1991 Geometric time optimal control in batch reactors. Zbl 0800.49025Bonnard, B.; Gauthier, J. P.; de Morant, J. 2 1991 Contrôlabilité sur l’espace quotient d’un group de Lie par un sous- groupe compact. (Controllability on the quotient of a Lie group by a compact subgroup). Zbl 0717.93004Assoudi, Rachida El; Gauthier, Jean-Paul 1 1990 Synthesis of nonlinear observers: A harmonic-analysis approach. Zbl 0691.93005Celle, F.; Gauthier, J. P.; Kazakos, D.; Sallet, G. 20 1989 Une méthode d’invariants de l’analyse harmonique en reconnaissance de formes. (Invariants from harmonic analysis for pattern recognition). Zbl 0679.68165Gourd, François; Gauthier, Jean-Paul 3 1989 Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009El Assoudi, R.; Gauthier, J. P. 2 1989 Bilinearization up to output injection. Zbl 0648.93024Hammouri, H.; Gauthier, J. P. 28 1988 Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\). Zbl 0672.93009El Assoudi, R.; Gauthier, J. P. 9 1988 Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013Gauthier, J. P.; Kazakos, D. 5 1988 Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012Gauthier, J. P.; Celle, F. 1 1988 Realizations of nonlinear analytic input-output maps. Zbl 0638.93016Celle, F.; Gauthier, J. P. 5 1987 Global realizations of analytic input-output mappings. Zbl 0602.93013Gauthier, J. P.; Bornard, G. 4 1986 Unitary immersions of nonlinear systems. Zbl 0626.93028Gauthier, J. P.; Guérin, J. P. 3 1986 Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016Celle, F.; Gauthier, J. P.; Milani, E. 2 1986 Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012Celle, F.; Gauthier, J. P.; Kazakos, D. 1 1986 Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010Gauthier, J. P.; Kupka, I.; Sallet, G. 19 1984 Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013Gauthier, J. P.; Bornard, G. 3 1984 Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001Gauthier, Jean-Paul 3 1984 Existence et unicité de réalisations analytiques minimales globales de systèmes non linéaires. (Existence and uniqueness of analytic minimal global realizations of nonlinear systems). Zbl 0571.93017Gauthier, Jean-Paul; Bornard, Guy 1 1984 Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024Gauthier, J. P.; Bornard, G. 5 1983 Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038Gauthier, J. P.; Bornard, G. 4 1983 Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005Gauthier, J.-P.; Bornard, G. 16 1982 An openness condition for the controllability of nonlinear systems. Zbl 0509.93015Gauthier, J. P.; Bornard, G. 4 1982 Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014Gauthier, J. P.; Bornard, G. 2 1982 Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014Gauthier, J. P.; Bornard, G. 84 1981 Stabilisation des systèmes non linéaires. Zbl 0513.93045Gauthier, J. P.; Bornard, G. 6 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,083 Authors 39 Gauthier, Jean-Paul A. 27 Boscain, Ugo 22 Hammouri, Hassan 19 Farza, Mondher 17 Sachkov, Yuriĭ Leonidovich 15 Besançon, Gildas 15 M’Saad, Mohammed 14 Duits, Remco 13 Sigalotti, Mario 12 Agrachev, Andreĭ Aleksandrovich 12 Ahmed-Ali, Tarek 12 Tornambè, Antonio 12 Vivalda, Jean-Claude 11 Andrieu, Vincent 11 Barilari, Davide 11 Ménard, Tomas 11 Praly, Laurent 10 Bonnard, Bernard 10 Giri, Fouad 10 Vaidyanathan, Sundarapandian 9 Lin, Wei 9 Martinez-Guerra, Rafael 9 Prandi, Dario 9 Sacchelli, Ludovic 8 Busvelle, Éric 8 Karafyllis, Iasson 8 Marconi, Lorenzo 8 Menini, Laura 8 Moreno, Jaime A. 8 Possieri, Corrado 8 Serres, Ulysse 8 Trélat, Emmanuel 7 Ammar, Sabeur 7 Boutat, Driss 7 Efimov, Denis V. 7 Isidori, Alberto 7 Rizzi, Luca 7 Rossi, Francesco 7 San Martin, Luiz Antonio Barrera 7 Sarti, Alessandro 7 Shen, Yanjun 7 Xia, Xiaohua 7 Zemouche, Ali 6 Bekkers, Erik J. 6 Bernard, Pauline 6 Charlot, Grégoire 6 Citti, Giovanna 6 D’Alessandro, Domenico 6 Germani, Alfredo 6 Iggidr, Abderrahman 6 Lamnabhi-Lagarrigue, Françoise 6 Ortega, Romeo S. 6 Tsinias, John 6 Vallarino, Maria 5 Alessandri, Angelo 5 Barbot, Jean-Pierre 5 Bauer, Wolfram 5 Boizot, Nicolas 5 Bornard, Guy 5 Brivadis, Lucas 5 Bruno, Tommaso 5 Busawon, Krishna K. 5 Defoort, Michael 5 Duca, Alessandro 5 Ghezzi, Roberta 5 Jean, Frédéric 5 Mashtakov, Alexey P. 5 Mason, Paolo 5 Mazenc, Frédéric 5 Moulay, Emmanuel 5 Pechen, Alexander Nikolaevich 5 Prieur, Christophe 5 Qian, Chunjiang 5 Sallet, Gauthier 5 Teel, Andrew Richard 5 Xu, Cheng-Zhong 4 Astolfi, Daniele 4 Ben Abdennour, Ridha 4 Chyba, Monique 4 Coirault, Patrick 4 El Assoudi-Baikari, Rachida 4 Furutani, Kenro 4 Gordina, Maria 4 Hammami, Mohamed Ali 4 Iwasaki, Chisato 4 Jerbi, Hamadi 4 Jouan, Philippe 4 Khalil, Hassan K. 4 Kravaris, Costas 4 Kupka, Ivan A. K. 4 Lynch, Alan F. 4 Manes, Costanzo 4 Markina, Irina 4 Nadri, Madiha 4 Neel, Robert Weston 4 Nijmeijer, Henk 4 Peloso, Marco Maria 4 Perruquetti, Wilfrid 4 Rajamani, Rajesh 4 Rouot, Jérémy ...and 983 more Authors all top 5 Cited in 164 Serials 109 Automatica 81 Systems & Control Letters 56 International Journal of Control 31 International Journal of Robust and Nonlinear Control 31 Journal of Dynamical and Control Systems 24 Journal of the Franklin Institute 23 SIAM Journal on Control and Optimization 22 European Journal of Control 20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Journal of Mathematical Imaging and Vision 15 MCSS. Mathematics of Control, Signals, and Systems 13 International Journal of Systems Science 13 Applied Mathematics Letters 12 Journal of Mathematical Physics 12 Kybernetika 10 International Journal of Systems Science. Principles and Applications of Systems and Integration 9 Journal of Mathematical Sciences (New York) 7 Proceedings of the Steklov Institute of Mathematics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Potential Analysis 6 Mathematical Control and Related Fields 5 Applied Mathematics and Computation 5 Mathematische Zeitschrift 5 Mathematical and Computer Modelling 5 The Journal of Geometric Analysis 5 Automation and Remote Control 5 Mathematical Problems in Engineering 5 Journal of Physics A: Mathematical and Theoretical 5 Asian Journal of Control 4 Mathematical Biosciences 4 Journal of Differential Equations 4 Mathematics and Computers in Simulation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 International Journal of Adaptive Control and Signal Processing 4 Differential Geometry and its Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Nonlinear Dynamics 4 Nonlinear Analysis. Hybrid Systems 4 SIAM Journal on Imaging Sciences 3 Computers & Mathematics with Applications 3 International Journal of Theoretical Physics 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Journal of Optimization Theory and Applications 3 Mathematical Systems Theory 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 Transactions of the American Mathematical Society 3 Applied and Computational Harmonic Analysis 3 Journal of Lie Theory 3 Bulletin des Sciences Mathématiques 3 Sbornik: Mathematics 3 Doklady Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Applied Mathematics and Computer Science 3 Lobachevskii Journal of Mathematics 3 Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Quantum Information Processing 3 Control Theory and Technology 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Information Sciences 2 Stochastic Analysis and Applications 2 Revista Matemática Iberoamericana 2 Applied Mathematical Modelling 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Archives of Control Sciences 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Computational Neuroscience 2 The Journal of Fourier Analysis and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Institute of Mathematics of Jussieu 2 Advances in Difference Equations 2 Advances in Calculus of Variations 1 Applicable Analysis 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics ...and 64 more Serials all top 5 Cited in 46 Fields 586 Systems theory; control (93-XX) 118 Differential geometry (53-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 62 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 52 Biology and other natural sciences (92-XX) 50 Topological groups, Lie groups (22-XX) 50 Ordinary differential equations (34-XX) 48 Quantum theory (81-XX) 30 Dynamical systems and ergodic theory (37-XX) 23 Mechanics of particles and systems (70-XX) 23 Information and communication theory, circuits (94-XX) 20 Computer science (68-XX) 19 Abstract harmonic analysis (43-XX) 17 Numerical analysis (65-XX) 14 Nonassociative rings and algebras (17-XX) 13 Operations research, mathematical programming (90-XX) 10 Operator theory (47-XX) 10 Manifolds and cell complexes (57-XX) 10 Probability theory and stochastic processes (60-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year