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Control of the bilinear Schrödinger equation for fully coupling potentials

Marco Caponigro , Ugo Boscain , Thomas Chambrion , Mario Sigalotti
18th World Congress of the International Federation of Automatic Control (IFAC), 2011, Milan, Italy
Communication dans un congrès hal-00589363v1
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Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

Andrei Agrachev , Ugo Boscain , Robert Neel , Luca Rizzi
ESAIM: Control, Optimisation and Calculus of Variations, In press, 24 (3), pp.1075-1105. ⟨10.1051/cocv/2017037⟩
Article dans une revue hal-01259762v1
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Lipschitz classification of almost-Riemannian distances on compact oriented surfaces

Ugo Boscain , Grégoire Charlot , Roberta Ghezzi , Mario Sigalotti
Journal of Geometric Analysis, 2013, 23, pp.438-455. ⟨10.1007/s12220-011-9262-4⟩
Article dans une revue hal-00464414v1
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Normal forms and invariants for 2-dimensional almost-Riemannian structures

Ugo Boscain , Grégoire Charlot , Roberta Ghezzi
2011
Pré-publication, Document de travail hal-00512380v2

Hypoelliptic diffusion and human vision: a semi-discrete new twist on the Petitot theory

Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Alexey Remizov
2013
Pré-publication, Document de travail hal-00924430v1
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Classical and quantum controllability of a rotating 3D symmetric molecule

Ugo Boscain , Eugenio Pozzoli , Mario Sigalotti
SIAM Journal on Control and Optimization, 2021, 59 (1), ⟨10.1137/20M1311442⟩
Article dans une revue hal-02421593v1
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A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule

Ugo Boscain , Marco Caponigro , Thomas Chambrion , Mario Sigalotti
Communications in Mathematical Physics, 2012, 311 (2), pp.423-455. ⟨10.1007/s00220-012-1441-z⟩
Article dans une revue hal-00557742v5

Equivalence between Exact and Approximate Controllability for Finite-Dimensional Quantum Systems

Ugo Boscain , Jean-Paul Gauthier , Francesco Rossi , Mario Sigalotti
54th IEEE Conference on Decision and Control, 2015, Osaka, Japan
Communication dans un congrès hal-01216023v1

Lie algebra for rotational subsystems of a driven asymmetric top

Eugenio Pozzoli , Monika Leibscher , Mario Sigalotti , Ugo Boscain , Christiane P. Koch
Journal of Physics A: Mathematical and Theoretical, 2022
Article dans une revue hal-03515595v1
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Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry

Ugo Boscain , Robert Neel , Luca Rizzi
Advances in Mathematics, 2017, ⟨10.1016/j.aim.2017.04.024⟩
Article dans une revue hal-01122735v2

Limit time optimal synthesis for a two-level quantum system

Paolo Mason , Rebecca Salmoni , Ugo Boscain , Yacine Chitour
47th IEEE Conference on Decision and Control, CDC 2008, Dec 2008, Cancun, Mexico. pp.4546-4551, ⟨10.1109/CDC.2008.4738782⟩
Communication dans un congrès hal-02320807v1

Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds

Davide Barilari , Ugo Boscain , Daniele Cannarsa , Karen Habermann
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, In press, ⟨10.1214/20-AIHP1124⟩
Article dans une revue hal-02557862v1
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An obstruction to small-time controllability of the bilinear Schrödinger equation

Ivan Beschastnyi , Ugo Boscain , Mario Sigalotti
Journal of Mathematical Physics, 2021, 62, ⟨10.1063/5.0003524⟩
Article dans une revue hal-02385244v2
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A Gauss-Bonnet-like Formula on Two-Dimensional almost-Riemannian Manifolds

Andrei A. Agrachev , Ugo Boscain , Mario Sigalotti
Discrete and Continuous Dynamical Systems - Series A, 2008, 20 (4), pp.801-822. ⟨10.3934/dcds.2008.20.801⟩
Article dans une revue hal-00097173v1

Introduction to geodesics in sub-Riemannian geometry

Andrei Agrachev , Davide Barilari , Ugo Boscain
Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds - Volume II, 2016, EMS Series of Lectures in Mathematics
Chapitre d'ouvrage hal-01392516v1
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Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation

Nicolas Augier , Ugo Boscain , Mario Sigalotti
Automatica, 2022, 136, pp.110034. ⟨10.1016/j.automatica.2021.110034⟩
Article dans une revue hal-02562363v2

On the Hausdorff volume in sub-Riemannian geometry

Andrei Agrachev , Davide Barilari , Ugo Boscain
2011
Pré-publication, Document de travail hal-00672260v1
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L’opérateur de Laplace-Beltrami en Géométrie presque-Riemannienne

Ugo Boscain , Camille Laurent
Annales de l'Institut Fourier, 2013, 63 (5), pp.1739 - 1770. ⟨10.5802/aif.2813⟩
Article dans une revue hal-00593163v1
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Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems

Ugo Boscain , Jean-Paul Gauthier , Francesco Rossi , Mario Sigalotti
Communications in Mathematical Physics, 2015, 333 (3), pp.1225-1239. ⟨10.1007/s00220-014-2195-6⟩
Article dans une revue hal-00869706v1

Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group

Davide Barilari , Ugo Boscain , Robert W. Neel
2016
Pré-publication, Document de travail hal-01327103v1

Limit time optimal synthesis for a control-affine system on S2

Paolo Mason , Rebecca Salmoni , Ugo Boscain , Yacine Chitour
SIAM Journal on Control and Optimization, 2008, 47 (1), pp.111-143. ⟨10.1137/060675988⟩
Article dans une revue hal-02320804v1
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Motion planning in quantum control via intersection of eigenvalues

Ugo Boscain , Francesca Chittaro , Paolo Mason , Rémi Pacqueau , Mario Sigalotti
49th IEEE Conference on Decision and Control, Dec 2010, Atlanta, United States. 6 p
Communication dans un congrès hal-00522702v1

Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy.

Grégoire Charlot , Ugo Boscain , Thomas Chambrion
Discrete and Continuous Dynamical Systems - Series B, 2005, 5 (4), pp.957--990. ⟨10.3934/dcdsb.2005.5.957⟩
Article dans une revue hal-00376872v1
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Stability of Planar Switched Systems: the Nondiagonalizable Case

Moussa Balde , Ugo Boscain
2006
Pré-publication, Document de travail hal-00105866v1

Geometric Control Theory and sub-Riemannian Geometry

Gianna Stefani , Ugo Boscain , Jean-Paul Gauthier , Andrey Sarychev , Mario Sigalotti
Springer, pp.372, 2014, Springer INdAM Series, 978-3-319-02132-4
Ouvrages hal-00923636v1

Geometry, Analysis and Dynamics on sub-Riemannian Manifolds - Volume I

Davide Barilari , Ugo Boscain , Mario Sigalotti
European Mathematical Society, 2016, EMS Series of Lectures in Mathematics, 978-3-03719-162-0. ⟨10.4171/162⟩
Ouvrages hal-01390381v1
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Quantum control of ro-vibrational dynamics and application to light-induced molecular chirality

Monika Leibscher , Eugenio Pozzoli , Alexander Blech , Mario Sigalotti , Ugo Boscain , et al.
2023
Pré-publication, Document de travail hal-04254059v1
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Controllability of spin-boson systems

Ugo Boscain , Paolo Mason , Gianluca Panati , Mario Sigalotti
Journal of Mathematical Physics, 2015, 56
Article dans une revue hal-01132741v1
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Schrödinger eigenfunctions sharing the same modulus and applications to the control of quantum systems

Ugo Boscain , Kévin Le Balc'H , Mario Sigalotti
2024
Pré-publication, Document de travail hal-04496433v1
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Self-adjoint extensions and stochastic completeness of the Laplace–Beltrami operator on conic and anticonic surfaces

Ugo Boscain , Dario Prandi
Journal of Differential Equations, 2016, 260 (4), pp.3234-3269. ⟨10.1016/j.jde.2015.10.011⟩
Article dans une revue hal-00848792v1