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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

Point interactions for 3D sub-Laplacians

Riccardo Adami , Ugo Boscain , Valentina Franceschi , Dario Prandi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Article dans une revue hal-02020844v1
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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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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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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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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

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
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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
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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

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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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

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

Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control

Ugo Boscain , Mario Sigalotti , Dominique Sugny
PRX Quantum, 2021, 2 (3), pp.030203. ⟨10.1103/PRXQuantum.2.030203⟩
Article dans une revue hal-02972049v1
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Quantum confinement for the curvature Laplacian $− \Delta + cK$ on 2D-almost-Riemannian manifolds

Ivan Beschastnyi , Ugo Boscain , Eugenio Pozzoli
Potential Analysis, 2021
Article dans une revue hal-02996832v2

Local controllability does imply global controllability

Ugo Boscain , Daniele Cannarsa , Valentina Franceschi , Mario Sigalotti
2021
Pré-publication, Document de travail hal-03379557v1
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A Comprehensive Introduction to sub-Riemannian Geometry

Andrei Agrachev , Davide Barilari , Ugo Boscain
Cambridge University Press, 2020, 978-1-108-47635-5
Ouvrages hal-02019181v1
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Two-Dimensional Almost-Riemannian Structures with Tangency Points

Andrei Agrachev , Ugo Boscain , Grégoire Charlot , Roberta Ghezzi , Mario Sigalotti
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010, 27 (3), pp.793-307. ⟨10.1016/j.anihpc.2009.11.011⟩
Article dans une revue hal-00410127v1

High-order angles in almost-Riemannian geometry

Ugo Boscain , Mario Sigalotti
Séminaire de Théorie Spectrale et Géométrie, 2008, 24, pp.41-54
Article dans une revue hal-00589708v1

Controllability properties of discrete-spectrum Schrödinger equations

Thomas Chambrion , Paolo Mason , Mario Sigalotti , Ugo Boscain
Conference on Decision and Control, Dec 2008, Cancun, Mexico. pp.4540, ⟨10.1109/CDC.2008.4738720⟩
Communication dans un congrès hal-00589550v1
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Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov
SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France. pp.37 - 53, ⟨10.1051/proc/201864037⟩
Communication dans un congrès hal-01721718v1
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A note on stability conditions for planar switched systems

Moussa Balde , Ugo Boscain , Paolo Mason
International Journal of Control, 2009, 82 (10), pp.1882-1888. ⟨10.1080/00207170902802992Actions⟩
Article dans une revue hal-00323682v2
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Local properties of almost-Riemannian structures in dimension 3

Ugo Boscain , Grégoire Charlot , Moussa Gaye , Paolo Mason
Discrete and Continuous Dynamical Systems - Series A, 2014, 35 (9)
Article dans une revue hal-01017378v1
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Generic singularities of line fields on 2D manifolds

Ugo Boscain , Ludovic Sacchelli , Mario Sigalotti
Differential Geometry and its Applications, 2016, Volume 49 (December 2016), pp.326-350
Article dans une revue hal-01318515v1

Invariant sets of defocused switched systems

Petter Nilsson , Ugo Boscain , Mario Sigalotti , James Newling
CDC 2013 - 52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. pp.5987-5992, ⟨10.1109/CDC.2013.6760834⟩
Communication dans un congrès hal-00923634v1

Normal forms and invariants for 2-dimensional almost-Riemannian structures

Ugo Boscain , Grégoire Charlot , Roberta Ghezzi
Differential Geometry and its Applications, 2013, 31 (1), pp.41-62. ⟨10.1016/j.difgeo.2012.10.001⟩
Article dans une revue hal-00924474v1
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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