Edit Profile (opens in new tab) Boscain, Ugo Co-Author Distance Author ID: boscain.ugo Published as: Boscain, Ugo; Boscain, U.; Boscain, Ugo V. more...less Homepage: http://www.cmapx.polytechnique.fr/~boscain/ External Links: MGP Documents Indexed: 96 Publications since 1998, including 2 Books and 6 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 55 Co-Authors with 97 Joint Publications 1,050 Co-Co-Authors all top 5 Co-Authors 3 single-authored 33 Sigalotti, Mario 17 Gauthier, Jean-Paul A. 13 Barilari, Davide 13 Charlot, Grégoire 11 Rossi, Francesco 10 Mason, Paolo 8 Agrachev, Andreĭ Aleksandrovich 8 Piccoli, Benedetto 8 Prandi, Dario 7 Chambrion, Thomas 7 Neel, Robert Weston 5 Augier, Nicolas 4 Cannarsa, Daniele 4 Chitour, Yacine 4 Pozzoli, Eugenio 4 Remizov, Alexey O. 3 Beschastnyi, Ivan Yu. 3 Caponigro, Marco 3 Chertovskih, Roman A. 3 Ghezzi, Roberta 3 Sacchelli, Ludovic 2 Balde, Moussa 2 Duits, Remco 2 Duplaix, Jean 2 Franceschi, Valentina 2 Polidoro, Sergio 2 Rizzi, Luca 2 Sachkov, Yuriĭ Leonidovich 2 Turco, Giuseppina 1 Adami, Riccardo 1 Asswad, Rand 1 Bellini, Eugenio 1 Chittaro, Francesca C. 1 Duteil, Nastassia Pouradier 1 Gaye, Moussa 1 Grönberg, Fredrik 1 Guérin, Stéphane 1 Habermann, Karen 1 Jauslin, Hans-Rudolf 1 Koch, Christiane P. 1 Kostenko, Aleksey S. 1 Laurent, Camille 1 Le Balc’h, Kévin 1 Le Donne, Enrico 1 Leibscher, M. 1 Long, Ruixing 1 Maillot, Thibault 1 Nikolaev, Igor Vasilievich 1 Panati, Gianluca 1 Pankrashkin, Konstantin 1 Rabitz, Herschel A. 1 Robin, Rémi 1 Seri, Marcello 1 Serres, Ulysse 1 Stefani, Gianna 1 Zelenko, Igor all top 5 Serials 11 SIAM Journal on Control and Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Mathematical Physics 5 Journal of Dynamical and Control Systems 3 Journal of Differential Equations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems 2 Communications in Mathematical Physics 2 Differential Geometry and its Applications 2 Journal of Mathematical Imaging and Vision 2 Journal of Mathematical Sciences (New York) 2 Communications on Pure and Applied Analysis 2 EMS Series of Lectures in Mathematics 1 International Journal of Control 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Automatica 1 IEEE Transactions on Automatic Control 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Rendiconti del Seminario Matematico 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Cambridge Studies in Advanced Mathematics 1 Mathématiques & Applications (Berlin) 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 SIAM Journal on Imaging Sciences 1 The Journal of Mathematical Neuroscience 1 Mathematical Control and Related Fields 1 Springer INdAM Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 44 Differential geometry (53-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 26 Systems theory; control (93-XX) 21 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 Manifolds and cell complexes (57-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-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 80 Publications have been cited 1,303 times in 719 Documents Cited by ▼ Year ▼ A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 1487.53001 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 129 2020 Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 73 2016 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012 Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 66 2009 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016 Boscain, Ugo; Rossi, Francesco 60 2008 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001 Boscain, Ugo; Piccoli, Benedetto 54 2004 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 49 2012 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049 Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 49 2009 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041 Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 43 2008 Stability of planar switched systems: The linear single input case. Zbl 1012.93055 Boscain, Ugo 42 2002 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098 Boscain, Ugo; Mason, Paolo 39 2006 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195 Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 38 2002 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177 Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 35 2012 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066 Barilari, Davide; Boscain, Ugo; Neel, Robert W. 34 2012 A note on stability conditions for planar switched systems. Zbl 1178.93121 Balde, Moussa; Boscain, Ugo; Mason, Paolo 28 2009 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083 Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 28 2005 The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) Zbl 1314.58017 Boscain, Ugo; Laurent, Camille 27 2013 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040 Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 25 2014 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051 Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 25 2015 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029 Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 24 2010 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038 Mason, Paolo; Boscain, Ugo; Chitour, Yacine 23 2006 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002 Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 23 2014 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039 Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 21 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003 Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 19 2014 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041 Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 18 2012 Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006 Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 18 2017 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011 Boscain, 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 1022.53028 Boscain, U.; Chambrion, T.; Gauthier, J.-P. 17 2002 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063 Boscain, Ugo; Prandi, Dario 15 2016 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026 Boscain, Ugo; Polidoro, Sergio 14 2007 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089 Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 12 2014 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196 Boscain, U.; Prandi, D.; Seri, M. 12 2016 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063 Boscain, U.; Charlot, G.; Ghezzi, R. 12 2013 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 12 2018 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025 Boscain, Ugo; Chitour, Yacine 11 2005 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031 Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 11 2013 Extremal synthesis for generic planar systems. Zbl 1013.49025 Boscain, Ugo; Piccoli, Benedetto 9 2001 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001 Boscain, U.; Gauthier, J.-P.; Rossi, F. 9 2014 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039 Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 8 2015 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043 Boscain, Ugo; Neel, Robert; Rizzi, Luca 8 2017 Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1343.53001 8 2016 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006 Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 8 2017 Existence of planar curves minimizing length and curvature. Zbl 1215.53006 Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064 Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 7 2012 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038 Balde, Moussa; Boscain, Ugo 6 2008 High-order angles in almost-Riemannian geometry. Zbl 1159.53320 Boscain, Ugo; Sigalotti, Mario 6 2007 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002 Boscain, Ugo; Charlot, Grégoire 6 2004 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005 Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020 Boscain, Ugo; Neel, Robert W. 6 2020 On the control of spin-boson systems. Zbl 1322.81062 Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 5 2015 Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 1494.53036 Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen 5 2021 Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 1481.53041 Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 5 2018 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015 Boscain, Ugo; Chitour, Yacine 4 2002 Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040 Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario 4 2021 Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 4 2020 Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018 Barilari, Davide; Boscain, Ugo; Neel, Robert W. 4 2019 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013 Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 4 2021 On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 1496.53041 Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele 4 2022 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034 Boscain, Ugo; Rossi, Francesco 3 2010 An introduction to optimal control. Zbl 1093.49001 Boscain, Ugo; Piccoli, Benetto 3 2005 Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 3 2022 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 Point interactions for 3D sub-Laplacians. Zbl 1468.35181 Adami, Riccardo; Boscain, Ugo; Franceschi, Valentina; Prandi, Dario 3 2021 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021 Boscain, Ugo; Gauthier, Jean-Paul 3 2013 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093 Boscain, U. 2 2008 Generic singularities of line fields on 2D manifolds. Zbl 1354.37029 Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario 2 2016 Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050 Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 2 2014 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205 Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 An obstruction to small-time controllability of the bilinear Schrödinger equation. Zbl 1461.81025 Beschastnyi, Ivan; Boscain, Ugo; Sigalotti, Mario 2 2021 Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations. Zbl 1486.81126 Robin, Rémi; Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 2 2022 Stability of planar nonlinear switched systems. Zbl 1115.34048 Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083 Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 1 2010 On automaton recognizability of abnormal extremals. Zbl 1024.49020 Boscain, Ugo; Piccoli, Benedetto 1 2002 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002 Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1351.53003 1 2016 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005 Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031 Boscain, U.; Piccoli, B. 1 1998 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060 Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Lie algebra for rotational subsystems of a driven asymmetric top. Zbl 1506.81040 Pozzoli, E.; Leibscher, M.; Sigalotti, M.; Boscain, U.; Koch, C. P. 1 2022 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227 Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 1496.53041 Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele 4 2022 Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 3 2022 Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations. Zbl 1486.81126 Robin, Rémi; Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 2 2022 Lie algebra for rotational subsystems of a driven asymmetric top. Zbl 1506.81040 Pozzoli, E.; Leibscher, M.; Sigalotti, M.; Boscain, U.; Koch, C. P. 1 2022 Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 1494.53036 Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen 5 2021 Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040 Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario 4 2021 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013 Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 4 2021 Point interactions for 3D sub-Laplacians. Zbl 1468.35181 Adami, Riccardo; Boscain, Ugo; Franceschi, Valentina; Prandi, Dario 3 2021 An obstruction to small-time controllability of the bilinear Schrödinger equation. Zbl 1461.81025 Beschastnyi, Ivan; Boscain, Ugo; Sigalotti, Mario 2 2021 A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 1487.53001 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 129 2020 Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020 Boscain, Ugo; Neel, Robert W. 6 2020 Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 4 2020 Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018 Barilari, Davide; Boscain, Ugo; Neel, Robert W. 4 2019 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055 Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 12 2018 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 1481.53041 Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 5 2018 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227 Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006 Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 18 2017 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043 Boscain, Ugo; Neel, Robert; Rizzi, Luca 8 2017 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006 Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 8 2017 Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 73 2016 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063 Boscain, Ugo; Prandi, Dario 15 2016 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196 Boscain, U.; Prandi, D.; Seri, M. 12 2016 Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1343.53001 8 2016 Generic singularities of line fields on 2D manifolds. Zbl 1354.37029 Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario 2 2016 Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1351.53003 1 2016 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051 Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 25 2015 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039 Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 8 2015 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005 Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 On the control of spin-boson systems. Zbl 1322.81062 Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 5 2015 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205 Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040 Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 25 2014 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002 Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 23 2014 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039 Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 21 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003 Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 19 2014 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089 Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 12 2014 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001 Boscain, U.; Gauthier, J.-P.; Rossi, F. 9 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 Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050 Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 2 2014 The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) Zbl 1314.58017 Boscain, Ugo; Laurent, Camille 27 2013 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063 Boscain, U.; Charlot, G.; Ghezzi, R. 12 2013 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031 Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 11 2013 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021 Boscain, Ugo; Gauthier, Jean-Paul 3 2013 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030 Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 49 2012 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177 Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 35 2012 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066 Barilari, Davide; Boscain, Ugo; Neel, Robert W. 34 2012 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041 Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 18 2012 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011 Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064 Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 7 2012 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029 Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 24 2010 Existence of planar curves minimizing length and curvature. Zbl 1215.53006 Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034 Boscain, Ugo; Rossi, Francesco 3 2010 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083 Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 1 2010 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012 Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 66 2009 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049 Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 49 2009 A note on stability conditions for planar switched systems. Zbl 1178.93121 Balde, Moussa; Boscain, Ugo; Mason, Paolo 28 2009 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016 Boscain, Ugo; Rossi, Francesco 60 2008 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041 Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 43 2008 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038 Balde, Moussa; Boscain, Ugo 6 2008 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093 Boscain, U. 2 2008 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002 Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026 Boscain, Ugo; Polidoro, Sergio 14 2007 High-order angles in almost-Riemannian geometry. Zbl 1159.53320 Boscain, Ugo; Sigalotti, Mario 6 2007 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098 Boscain, Ugo; Mason, Paolo 39 2006 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038 Mason, Paolo; Boscain, Ugo; Chitour, Yacine 23 2006 Stability of planar nonlinear switched systems. Zbl 1115.34048 Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083 Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 28 2005 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025 Boscain, Ugo; Chitour, Yacine 11 2005 An introduction to optimal control. Zbl 1093.49001 Boscain, Ugo; Piccoli, Benetto 3 2005 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001 Boscain, Ugo; Piccoli, Benedetto 54 2004 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002 Boscain, Ugo; Charlot, Grégoire 6 2004 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060 Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Stability of planar switched systems: The linear single input case. Zbl 1012.93055 Boscain, Ugo 42 2002 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195 Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 38 2002 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028 Boscain, U.; Chambrion, T.; Gauthier, J.-P. 17 2002 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015 Boscain, Ugo; Chitour, Yacine 4 2002 On automaton recognizability of abnormal extremals. Zbl 1024.49020 Boscain, Ugo; Piccoli, Benedetto 1 2002 Extremal synthesis for generic planar systems. Zbl 1013.49025 Boscain, Ugo; Piccoli, Benedetto 9 2001 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005 Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031 Boscain, U.; Piccoli, B. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 799 Authors 45 Boscain, Ugo 45 Sachkov, Yuriĭ Leonidovich 36 Sigalotti, Mario 25 Barilari, Davide 21 Agrachev, Andreĭ Aleksandrovich 18 Duits, Remco 18 Rizzi, Luca 17 Le Donne, Enrico 16 Prandi, Dario 13 Mason, Paolo 12 Bonnard, Bernard 12 Citti, Giovanna 12 Mashtakov, Alexey P. 11 Beauchard, Karine 11 Chitour, Yacine 11 Sarti, Alessandro 10 Gauthier, Jean-Paul A. 10 Rossi, Francesco 9 Beschastnyi, Ivan Yu. 9 Boarotto, Francesco 9 Chambrion, Thomas 9 Podobryaev, Alekseĭ V. 8 Bayen, Térence 8 Bekkers, Erik J. 8 Charlot, Grégoire 8 Laurent, Camille 8 Sachkova, Elena F. 7 Franceschi, Valentina 7 Morancey, Morgan 7 Pechen, Alexander Nikolaevich 7 Polidoro, Sergio 7 Pozzoli, Eugenio 7 Sacchelli, Ludovic 7 Sugny, Dominique 7 Trélat, Emmanuel 7 Vallarino, Maria 6 Augier, Nicolas 6 Bauer, Wolfram 6 Bruno, Tommaso 6 D’Alessandro, Domenico 6 Duca, Alessandro 6 Ghezzi, Roberta 6 Greshnov, Aleksandr Valer’evich 6 Grong, Erlend 6 Lokutsievskiy, Lev Viacheslavovich 6 Margaliot, Michael 6 Markina, Irina 6 Neel, Robert Weston 6 Nersesyan, Vahagn 5 Baudoin, Fabrice 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Cinti, Chiara 5 Cots, Olivier 5 Dong, Daoyi 5 Furutani, Kenro 5 Gordina, Maria 5 Jouan, Philippe 5 Léautaud, Matthieu 5 Lee, Tong Heng 5 Martini, Alessio 5 Ottazzi, Alessandro 5 Peloso, Marco Maria 5 Pinamonti, Andrea 5 Schättler, Heinz Michael 5 Speight, Gareth 5 Stefanatos, Dionisis 5 Vittone, Davide 5 Xiang, Cheng 5 Zubareva, Irina Aleksandrovna 4 Ayala, Victor 4 Bacciotti, Andrea 4 Balde, Moussa 4 Caponigro, Marco 4 Habermann, Karen 4 Hakavuori, Eero 4 Hrdina, Jaroslav 4 Iwasaki, Chisato 4 Jean, Frédéric 4 Ledzewicz, Urszula 4 Mairet, Francis 4 Michelangeli, Alessandro 4 Nicolussi Golo, Sebastiano 4 Petersen, Ian Richard 4 Respondek, Witold 4 Rifford, Ludovic 4 Rouchon, Pierre 4 Veloso, Jose Miguel Martins 3 Agarwal, Nikita 3 Albertini, Francesca 3 Ardentov, Andrei A. 3 Arguillère, Sylvain 3 Biggs, Rory 3 Biolo, Carolina 3 Borza, Samuël 3 Borzì, Alfio 3 Bournissou, Mégane 3 Bressan, Alberto 3 Cannarsa, Daniele 3 Cannarsa, Piermarco 3 Chatzakou, Marianna ...and 699 more Authors all top 5 Cited in 180 Serials 51 Journal of Dynamical and Control Systems 30 SIAM Journal on Control and Optimization 30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 Automatica 20 The Journal of Geometric Analysis 19 Systems & Control Letters 19 Journal of Mathematical Imaging and Vision 16 Journal of Differential Equations 14 International Journal of Control 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Calculus of Variations and Partial Differential Equations 14 Journal of Physics A: Mathematical and Theoretical 13 Journal of Mathematical Physics 13 Potential Analysis 12 Siberian Mathematical Journal 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Doklady Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Functional Analysis 9 Differential Geometry and its Applications 9 Proceedings of the Steklov Institute of Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Mathematical Sciences (New York) 8 Quantum Information Processing 8 Mathematical Control and Related Fields 7 Mathematical Notes 6 Journal of Mathematical Analysis and Applications 6 MCSS. Mathematics of Control, Signals, and Systems 6 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Physics 5 Journal of Geometry and Physics 5 Mathematische Zeitschrift 5 Sbornik: Mathematics 5 Regular and Chaotic Dynamics 5 Analysis and Geometry in Metric Spaces 4 International Journal of Theoretical Physics 4 Physics Letters. A 4 Advances in Mathematics 4 Annales de l’Institut Fourier 4 Journal of Optimization Theory and Applications 4 Mathematische Annalen 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 4 The Journal of Fourier Analysis and Applications 4 Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinear Analysis. Hybrid Systems 4 SIAM Journal on Imaging Sciences 4 Journal of Geometric Mechanics 4 Russian Journal of Nonlinear Dynamics 3 Inventiones Mathematicae 3 Proceedings of the American Mathematical Society 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 NoDEA. Nonlinear Differential Equations and Applications 3 European Journal of Control 3 Journal of the European Mathematical Society (JEMS) 3 Lobachevskii Journal of Mathematics 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Journal de l’École Polytechnique – Mathématiques 3 Séminaire Laurent Schwartz. EDP et Applications 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 International Journal of Systems Science 2 Journal d’Analyse Mathématique 2 Journal of the Franklin Institute 2 Russian Mathematical Surveys 2 Geometriae Dedicata 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Geometric and Functional Analysis. GAFA 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 Journal of Computational Neuroscience 2 Electronic Journal of Probability 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Geometric Methods in Modern Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Journal of Spectral Theory 2 Analysis and Mathematical Physics 2 The Journal of Mathematical Neuroscience 2 Journal of Applied Analysis and Computation 2 Control Theory and Technology 2 Transactions of the American Mathematical Society. Series B 1 Applicable Analysis 1 Biological Cybernetics 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics ...and 80 more Serials all top 5 Cited in 52 Fields 305 Differential geometry (53-XX) 198 Systems theory; control (93-XX) 195 Calculus of variations and optimal control; optimization (49-XX) 154 Partial differential equations (35-XX) 114 Global analysis, analysis on manifolds (58-XX) 107 Quantum theory (81-XX) 88 Topological groups, Lie groups (22-XX) 46 Ordinary differential equations (34-XX) 42 Biology and other natural sciences (92-XX) 33 Abstract harmonic analysis (43-XX) 30 Mechanics of particles and systems (70-XX) 29 Probability theory and stochastic processes (60-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Operator theory (47-XX) 22 Numerical analysis (65-XX) 21 Measure and integration (28-XX) 20 Information and communication theory, circuits (94-XX) 19 Computer science (68-XX) 16 Functional analysis (46-XX) 14 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Manifolds and cell complexes (57-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Nonassociative rings and algebras (17-XX) 9 Several complex variables and analytic spaces (32-XX) 9 General topology (54-XX) 7 Potential theory (31-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Functions of a complex variable (30-XX) 6 Geometry (51-XX) 6 Optics, electromagnetic theory (78-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 5 Fluid mechanics (76-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year