Edit Profile (opens in new tab) Boscain, Ugo Compute Distance To: Compute 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: 86 Publications since 1998, including 2 Books 4 Contributions as Editor Co-Authors: 51 Co-Authors with 87 Joint Publications 819 Co-Co-Authors all top 5 Co-Authors 3 single-authored 27 Sigalotti, Mario 17 Gauthier, Jean-Paul A. 13 Barilari, Davide 13 Charlot, Grégoire 10 Mason, Paolo 10 Rossi, Francesco 8 Agrachev, Andreĭ Aleksandrovich 8 Prandi, Dario 7 Neel, Robert Weston 7 Piccoli, Benedetto 6 Chambrion, Thomas 4 Augier, Nicolas 4 Chitour, Yacine 4 Remizov, Alexey O. 3 Chertovskih, Roman A. 3 Ghezzi, Roberta 3 Sacchelli, Ludovic 2 Balde, Moussa 2 Cannarsa, Daniele 2 Caponigro, Marco 2 Duits, Remco 2 Duplaix, Jean 2 Polidoro, Sergio 2 Rizzi, Luca 2 Sachkov, Yuriĭ Leonidovich 2 Turco, Giuseppina 1 Adami, Riccardo 1 Asswad, Rand 1 Beschastnyi, Ivan Yu. 1 Chittaro, Francesca C. 1 Franceschi, Valentina 1 Gaye, Moussa 1 Grönberg, Fredrik 1 Guérin, Stéphane 1 Habermann, Karen 1 Jauslin, Hans-Rudolf 1 Kostenko, Aleksey S. 1 Laurent, Camille 1 Le Donne, Enrico 1 Long, Ruixing 1 Maillot, Thibault 1 Nikolaev, Igor Vasilievich 1 Panati, Gianluca 1 Pankrashkin, Konstantin 1 Pozzoli, Eugenio 1 Rabitz, Herschel A. 1 Robin, Rémi 1 Salmoni, R. 1 Seri, Marcello 1 Serres, Ulysse 1 Stefani, Gianna 1 Zelenko, Igor all top 5 Serials 11 SIAM Journal on Control and Optimization 5 Journal of Mathematical Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Calculus of Variations and Partial Differential Equations 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Oberwolfach Reports 1 Cambridge Studies in Advanced Mathematics 1 Mathématiques & Applications (Berlin) 1 Proceedings of the Steklov Institute of Mathematics 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 43 Differential geometry (53-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 20 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 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) 5 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) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-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 76 Publications have been cited 1,009 times in 571 Documents Cited by ▼ Year ▼ Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 64 2016 A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 62 2020 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 61 2009 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016Boscain, Ugo; Rossi, Francesco 52 2008 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001Boscain, Ugo; Piccoli, Benedetto 48 2004 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 41 2009 Stability of planar switched systems: The linear single input case. Zbl 1012.93055Boscain, Ugo 40 2002 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 40 2012 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098Boscain, Ugo; Mason, Paolo 33 2006 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 31 2008 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 30 2012 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066Barilari, Davide; Boscain, Ugo; Neel, Robert W. 29 2012 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 29 2002 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 26 2005 A note on stability conditions for planar switched systems. Zbl 1178.93121Balde, Moussa; Boscain, Ugo; Mason, Paolo 22 2009 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 21 2014 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038Mason, Paolo; Boscain, Ugo; Chitour, Yacine 21 2006 The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) Zbl 1314.58017Boscain, Ugo; Laurent, Camille 19 2013 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 19 2015 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 19 2014 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 18 2010 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 17 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 17 2014 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 15 2012 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026Boscain, Ugo; Polidoro, Sergio 14 2007 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 13 2002 Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 13 2017 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025Boscain, Ugo; Chitour, Yacine 9 2005 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063Boscain, Ugo; Prandi, Dario 9 2016 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 8 2018 Extremal synthesis for generic planar systems. Zbl 1013.49025Boscain, Ugo; Piccoli, Benedetto 8 2001 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 8 2013 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063Boscain, U.; Charlot, G.; Ghezzi, R. 8 2013 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 8 2014 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 7 2014 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043Boscain, Ugo; Neel, Robert; Rizzi, Luca 7 2017 Existence of planar curves minimizing length and curvature. Zbl 1215.53006Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 6 2017 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038Balde, Moussa; Boscain, Ugo 6 2008 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002Boscain, Ugo; Charlot, Grégoire 6 2004 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 6 2012 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 On the control of spin-boson systems. Zbl 1322.81062Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 5 2015 High-order angles in almost-Riemannian geometry. Zbl 1159.53320Boscain, Ugo; Sigalotti, Mario 5 2007 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 4 2016 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 4 2015 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 spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 An introduction to optimal control. Zbl 1093.49001Boscain, Ugo; Piccoli, Benetto 3 2005 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015Boscain, Ugo; Chitour, Yacine 3 2002 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034Boscain, Ugo; Rossi, Francesco 3 2010 Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 1481.53041Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 2 2018 Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 2 2020 Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018Barilari, Davide; Boscain, Ugo; Neel, Robert W. 2 2019 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196Boscain, U.; Prandi, D.; Seri, M. 2 2016 Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 2 2014 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 07007408Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 1 2018 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031Boscain, U.; Piccoli, B. 1 1998 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 1 2010 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 1 2021 Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario 1 2021 On automaton recognizability of abnormal extremals. Zbl 1024.49020Boscain, Ugo; Piccoli, Benedetto 1 2002 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 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 Generic singularities of line fields on 2D manifolds. Zbl 1354.37029Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario 1 2016 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 Stability of planar nonlinear switched systems. Zbl 1115.34048Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093Boscain, U. 1 2008 On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 07466630Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele 1 2022 Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020Boscain, Ugo; Neel, Robert W. 1 2020 Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 1 2022 Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 07481253Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen 1 2021 On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 07466630Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele 1 2022 Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 1 2022 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 1 2021 Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario 1 2021 Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 07481253Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen 1 2021 A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 62 2020 Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 2 2020 Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020Boscain, Ugo; Neel, Robert W. 1 2020 Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018Barilari, Davide; Boscain, Ugo; Neel, Robert W. 2 2019 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 8 2018 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, 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 1481.53041Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 2 2018 Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 07007408Boscain, 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 1377.49006Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 13 2017 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043Boscain, Ugo; Neel, Robert; Rizzi, Luca 7 2017 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 6 2017 Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 64 2016 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063Boscain, Ugo; Prandi, Dario 9 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 4 2016 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196Boscain, U.; Prandi, D.; Seri, M. 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 Generic singularities of line fields on 2D manifolds. Zbl 1354.37029Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario 1 2016 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 19 2015 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 On the control of spin-boson systems. Zbl 1322.81062Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 5 2015 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 4 2015 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 21 2014 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 19 2014 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 17 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 17 2014 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 8 2014 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 7 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 1375.53050Barilari, 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 1314.58017Boscain, Ugo; Laurent, Camille 19 2013 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 8 2013 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063Boscain, U.; Charlot, G.; Ghezzi, R. 8 2013 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 40 2012 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 30 2012 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066Barilari, Davide; Boscain, Ugo; Neel, Robert W. 29 2012 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 15 2012 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 6 2012 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 18 2010 Existence of planar curves minimizing length and curvature. Zbl 1215.53006Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034Boscain, Ugo; Rossi, Francesco 3 2010 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 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 61 2009 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 41 2009 A note on stability conditions for planar switched systems. Zbl 1178.93121Balde, Moussa; Boscain, Ugo; Mason, Paolo 22 2009 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016Boscain, Ugo; Rossi, Francesco 52 2008 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 31 2008 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038Balde, Moussa; Boscain, Ugo 6 2008 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093Boscain, U. 1 2008 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026Boscain, Ugo; Polidoro, Sergio 14 2007 High-order angles in almost-Riemannian geometry. Zbl 1159.53320Boscain, Ugo; Sigalotti, Mario 5 2007 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098Boscain, Ugo; Mason, Paolo 33 2006 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038Mason, Paolo; Boscain, Ugo; Chitour, Yacine 21 2006 Stability of planar nonlinear switched systems. Zbl 1115.34048Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 26 2005 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025Boscain, Ugo; Chitour, Yacine 9 2005 An introduction to optimal control. Zbl 1093.49001Boscain, Ugo; Piccoli, Benetto 3 2005 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001Boscain, Ugo; Piccoli, Benedetto 48 2004 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002Boscain, Ugo; Charlot, Grégoire 6 2004 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Stability of planar switched systems: The linear single input case. Zbl 1012.93055Boscain, Ugo 40 2002 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 29 2002 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 13 2002 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015Boscain, Ugo; Chitour, Yacine 3 2002 On automaton recognizability of abnormal extremals. Zbl 1024.49020Boscain, Ugo; Piccoli, Benedetto 1 2002 Extremal synthesis for generic planar systems. Zbl 1013.49025Boscain, Ugo; Piccoli, Benedetto 8 2001 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031Boscain, U.; Piccoli, B. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 645 Authors 42 Boscain, Ugo 37 Sachkov, Yuriĭ Leonidovich 31 Sigalotti, Mario 22 Barilari, Davide 19 Agrachev, Andreĭ Aleksandrovich 16 Duits, Remco 16 Rizzi, Luca 14 Prandi, Dario 11 Beauchard, Karine 11 Bonnard, Bernard 11 Citti, Giovanna 11 Mason, Paolo 10 Gauthier, Jean-Paul A. 10 Le Donne, Enrico 10 Rossi, Francesco 10 Sarti, Alessandro 9 Ardentov, Andrei A. 9 Boarotto, Francesco 9 Laurent, Camille 9 Mashtakov, Alexey P. 8 Bayen, Térence 8 Chambrion, Thomas 8 Charlot, Grégoire 7 Bekkers, Erik J. 7 Beschastnyi, Ivan Yu. 7 Morancey, Morgan 7 Podobryaev, Alekseĭ V. 7 Sacchelli, Ludovic 7 Trélat, Emmanuel 6 Bauer, Wolfram 6 Chitour, Yacine 6 Duca, Alessandro 6 Ghezzi, Roberta 6 Margaliot, Michael 6 Neel, Robert Weston 6 Nersesyan, Vahagn 6 Polidoro, Sergio 6 Vallarino, Maria 5 Baudoin, Fabrice 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Cinti, Chiara 5 Cots, Olivier 5 D’Alessandro, Domenico 5 Dong, Daoyi 5 Furutani, Kenro 5 Gordina, Maria 5 Léautaud, Matthieu 5 Lee, Tong Heng 5 Markina, Irina 5 Ottazzi, Alessandro 5 Sachkova, Elena F. 5 Sugny, Dominique 5 Xiang, Cheng 4 Augier, Nicolas 4 Bacciotti, Andrea 4 Balde, Moussa 4 Bruno, Tommaso 4 Caponigro, Marco 4 Franceschi, Valentina 4 Greshnov, Aleksandr Valer’evich 4 Grong, Erlend 4 Hakavuori, Eero 4 Iwasaki, Chisato 4 Jean, Frédéric 4 Jouan, Philippe 4 Lokutsievskiy, Lev Viacheslavovich 4 Mairet, Francis 4 Martini, Alessio 4 Peloso, Marco Maria 4 Petersen, Ian Richard 4 Respondek, Witold 4 Speight, Gareth 4 Vittone, Davide 4 Zubareva, Irina Aleksandrovna 3 Albertini, Francesca 3 Arguillère, Sylvain 3 Ayala, Victor 3 Biggs, Rory 3 Biolo, Carolina 3 Borzì, Alfio 3 Cannarsa, Daniele 3 Cannarsa, Piermarco 3 Choi, Woocheol 3 Cong, Shen 3 Coron, Jean-Michel 3 Franceschiello, Benedetta 3 Ghosh, Arpan 3 Godoy Molina, Mauricio 3 Habermann, Karen 3 Hermosilla, Cristopher 3 Huang, Zhihong 3 Kuznetsov, M. V. 3 Lerario, Antonio 3 Paoli, Elisa 3 Pinamonti, Andrea 3 Ponge, Raphaël S. 3 Portegies, Jorg M. 3 Pozzoli, Eugenio 3 Remizov, Alexey O. 3 Remsing, Claudiu-Cristian ...and 545 more Authors all top 5 Cited in 152 Serials 39 Journal of Dynamical and Control Systems 27 SIAM Journal on Control and Optimization 24 Automatica 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Systems & Control Letters 17 Journal of Mathematical Imaging and Vision 16 The Journal of Geometric Analysis 14 International Journal of Control 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Mathematical Physics 13 Journal of Differential Equations 12 Calculus of Variations and Partial Differential Equations 11 Siberian Mathematical Journal 9 Differential Geometry and its Applications 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Potential Analysis 7 Journal of Functional Analysis 7 Doklady Mathematics 6 Mathematical Notes 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 MCSS. Mathematics of Control, Signals, and Systems 6 Journal of Mathematical Sciences (New York) 6 Quantum Information Processing 6 Mathematical Control and Related Fields 5 Journal of Mathematical Analysis and Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Mathematische Zeitschrift 5 Discrete and Continuous Dynamical Systems 5 Regular and Chaotic Dynamics 5 Proceedings of the Steklov Institute of Mathematics 4 Communications in Mathematical Physics 4 International Journal of Theoretical Physics 4 Physics Letters. A 4 Journal of Geometry and Physics 4 Annales de l’Institut Fourier 4 Journal of Optimization Theory and Applications 4 Transactions of the American Mathematical Society 4 Sbornik: Mathematics 4 The Journal of Fourier Analysis and Applications 4 Nonlinear Analysis. Hybrid Systems 4 SIAM Journal on Imaging Sciences 4 Journal of Geometric Mechanics 4 Russian Journal of Nonlinear Dynamics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Communications in Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Differential Equations 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Physics A: Mathematical and Theoretical 3 Analysis and Geometry in Metric Spaces 3 Séminaire Laurent Schwartz. EDP et Applications 2 International Journal of Systems Science 2 Memoirs of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Computational Neuroscience 2 European Journal of Control 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Institute of Mathematics of Jussieu 2 Analysis and Mathematical Physics 2 The Journal of Mathematical Neuroscience 2 Journal of Applied Analysis and Computation 2 Control Theory and Technology 2 Journal de l’École Polytechnique – Mathématiques 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Applicable Analysis 1 Biological Cybernetics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry ...and 52 more Serials all top 5 Cited in 47 Fields 232 Differential geometry (53-XX) 173 Systems theory; control (93-XX) 165 Calculus of variations and optimal control; optimization (49-XX) 112 Partial differential equations (35-XX) 89 Global analysis, analysis on manifolds (58-XX) 81 Quantum theory (81-XX) 67 Topological groups, Lie groups (22-XX) 38 Biology and other natural sciences (92-XX) 37 Ordinary differential equations (34-XX) 24 Probability theory and stochastic processes (60-XX) 23 Abstract harmonic analysis (43-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Mechanics of particles and systems (70-XX) 19 Numerical analysis (65-XX) 18 Information and communication theory, circuits (94-XX) 15 Operator theory (47-XX) 14 Measure and integration (28-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 General topology (54-XX) 6 Real functions (26-XX) 6 Manifolds and cell complexes (57-XX) 5 Geometry (51-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year