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Author ID: boscain.ugo Recent zbMATH articles by "Boscain, Ugo"
Published as: Boscain, Ugo; Boscain, U.; Boscain, Ugo V.
Homepage: http://www.cmapx.polytechnique.fr/~boscain/
External Links: MGP
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

Publications by Year

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 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
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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