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1

The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier, Francesco Rossi

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 301 KB

english, 2009

2

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

Agrachev, Andrei, Boscain, Ugo, Neel, Robert, Rizzi, Luca

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2018

Language:

english

File:

PDF, 722 KB

english, 2018

3

Generic singularities of line fields on 2D manifolds

Boscain, Ugo, Sacchelli, Ludovic, Sigalotti, Mario

Journal:

Differential Geometry and its Applications

Year:

2016

Language:

english

File:

PDF, 1.52 MB

english, 2016

4

On the Hausdorff volume in sub-Riemannian geometry

Andrei Agrachev, Davide Barilari, Ugo Boscain

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 404 KB

english, 2012

5

On theK+PProblem for a Three-Level Quantum System: Optimality Implies Resonance

U. Boscain, T. Chambrion, J.-P. Gauthier

Journal:

Journal of Dynamical and Control Systems

Year:

2002

Language:

english

File:

PDF, 300 KB

english, 2002

6

A Weak Spectral Condition for the Controllability of the Bilinear Schrödinger Equation with Application to the Control of a Rotating Planar Molecule

U. Boscain, M. Caponigro, T. Chambrion, M. Sigalotti

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 479 KB

english, 2012

7

Common Polynomial Lyapunov Functions for Linear Switched Systems

Mason, Paolo, Boscain, Ugo, Chitour, Yacine

Journal:

SIAM Journal on Control and Optimization

Year:

2006

Language:

english

File:

PDF, 256 KB

english, 2006

8

Time minimal trajectories for a spin 1∕2 particle in a magnetic field

Boscain, Ugo, Mason, Paolo

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 1.24 MB

english, 2006

9

Adiabatic Control of the Schrödinger Equation via Conical Intersections of the Eigenvalues

Boscain, U. V., Chittaro, F., Mason, P., Sigalotti, M.

Journal:

IEEE Transactions on Automatic Control

Year:

2012

Language:

english

File:

PDF, 759 KB

english, 2012

10

[IEEE 44th IEEE Conference on Decision and Control - Seville, Spain (12-15 Dec. 2005)] Proceedings of the 44th IEEE Conference on Decision and Control - Time Minimal Trajectories for two-level Quantum Systems with Drift

Boscain, U., Mason, P.

Year:

2005

Language:

english

File:

PDF, 222 KB

english, 2005

11

[Springer INdAM Series] Geometric Control Theory and Sub-Riemannian Geometry Volume 5 ||

Stefani, Gianna, Boscain, Ugo, Gauthier, Jean-Paul, Sarychev, Andrey, Sigalotti, Mario

Year:

2014

Language:

english

File:

PDF, 4.02 MB

english, 2014

12

Minimal time trajectories for two-level quantum systems with two bounded controls

Boscain, Ugo, Grönberg, Fredrik, Long, Ruixing, Rabitz, Herschel

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 2.82 MB

english, 2014

13

Curve cuspless reconstruction via sub-Riemannian geometry

Boscain, Ugo, Duits, Remco, Rossi, Francesco, Sachkov, Yuri

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2014

Language:

english

File:

PDF, 1.21 MB

english, 2014

14

Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds

Boscain, U., Prandi, D., Seri, M.

Journal:

Communications in Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 633 KB

english, 2016

15

Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry

Boscain, Ugo, Neel, Robert, Rizzi, Luca

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 875 KB

english, 2017

16

On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures

Barilari, Davide, Boscain, Ugo, Charlot, Grégoire, Neel, Robert W.

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 476 KB

english, 2016

17

Controllability of the discrete-spectrum Schrödinger equation driven by an external field

Thomas Chambrion, Paolo Mason, Mario Sigalotti, Ugo Boscain

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

File:

PDF, 347 KB

2009

18

Two-dimensional almost-Riemannian structures with tangency points

A.A. Agrachev, U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2010

Language:

english

File:

PDF, 362 KB

english, 2010

19

Classification of stable time-optimal controls on 2-manifolds

U. Boscain, I. Nikolaev, B. Piccoli

Journal:

Journal of Mathematical Sciences

Year:

2006

Language:

english

File:

PDF, 267 KB

english, 2006

20

Existence of planar curves minimizing length and curvature

Ugo Boscain, Grégoire Charlot, Francesco Rossi

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.30 MB

english, 2010

21

Morse Properties for the Minimum Time Function on 2-D Manifolds

Ugo Boscain, Benedetto Piccoli

Journal:

Journal of Dynamical and Control Systems

Year:

2001

File:

PDF, 16.75 MB

2001

22

Limit Time Optimal Synthesis for a Control-Affine System on $S^2$

Mason, P., Salmoni, R., Boscain, U., Chitour, Y.

Journal:

SIAM Journal on Control and Optimization

Year:

2008

Language:

english

File:

PDF, 628 KB

english, 2008

23

Time-Optimal Synthesis for Left-Invariant Control Systems on SO (3)

Boscain, Ugo, Chitour, Yacine

Journal:

SIAM Journal on Control and Optimization

Year:

2005

Language:

english

File:

PDF, 431 KB

english, 2005

24

Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion

Boscain, Ugo, Duplaix, Jean, Gauthier, Jean-Paul, Rossi, Francesco

Journal:

SIAM Journal on Control and Optimization

Year:

2012

Language:

english

File:

PDF, 1.34 MB

english, 2012

25

On 2-Step, Corank 2, Nilpotent Sub-Riemannian Metrics

Barilari, Davide, Boscain, Ugo, Gauthier, Jean-Paul

Journal:

SIAM Journal on Control and Optimization

Year:

2012

Language:

english

File:

PDF, 297 KB

english, 2012

26

Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

Boscain, Ugo, Rossi, Francesco

Journal:

SIAM Journal on Control and Optimization

Year:

2008

Language:

english

File:

PDF, 878 KB

english, 2008

27

Extremal Synthesis for Generic Planar Systems

Ugo Boscain, Benedetto Piccoli

Journal:

Journal of Dynamical and Control Systems

Year:

2001

Language:

english

File:

PDF, 1.10 MB

english, 2001

28

Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces

U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti

Journal:

Journal of Geometric Analysis

Year:

2013

Language:

english

File:

PDF, 403 KB

english, 2013

29

Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2)

Duits, R., Boscain, U., Rossi, F., Sachkov, Y.

Journal:

Journal of Mathematical Imaging and Vision

Year:

2014

Language:

english

File:

PDF, 2.54 MB

english, 2014

30

On the Spherical Hausdorff Measure in Step 2 Corank 2 Sub-Riemannian Geometry

Boscain, Ugo, Gauthier, Jean-Paul

Journal:

SIAM Journal on Control and Optimization

Year:

2013

Language:

english

File:

PDF, 236 KB

english, 2013

31

Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum

Boscain, Ugo, Caponigro, Marco, Sigalotti, Mario

Journal:

Journal of Differential Equations

Year:

2014

Language:

english

File:

PDF, 374 KB

english, 2014

32

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

Boscain, U., Charlot, G., Ghezzi, R.

Journal:

Differential Geometry and its Applications

Year:

2013

Language:

english

File:

PDF, 741 KB

english, 2013

33

Lyapunov and Minimum-Time Path Planning for Drones

Maillot, Thibault, Boscain, Ugo, Gauthier, Jean-Paul, Serres, Ulysse

Journal:

Journal of Dynamical and Control Systems

Year:

2015

Language:

english

File:

PDF, 3.66 MB

english, 2015

34

Hypoelliptic Heat Kernel Over 3-Step Nilpotent Lie Groups

Boscain, U., Gauthier, J.-P., Rossi, F.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 233 KB

english, 2014

35

Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist

Boscain, U., Chertovskih, R. A., Gauthier, J. P., Remizov, A. O.

Journal:

SIAM Journal on Imaging Sciences

Year:

2014

Language:

english

File:

PDF, 3.40 MB

english, 2014

36

On the minimum time problem for driftless left-invariant control systems on SO(3)

Chitour, Yacine, Boscain, Ugo

Journal:

Communications on Pure and Applied Analysis

Year:

2002

Language:

english

File:

PDF, 935 KB

english, 2002

37

[IEEE 2010 49th IEEE Conference on Decision and Control (CDC) - Atlanta, GA, USA (2010.12.15-2010.12.17)] 49th IEEE Conference on Decision and Control (CDC) - Image reconstruction via optimal control on the bundle of directions of the plane

Boscain, Ugo, Duplaix, Jean, Gauthier, Jean-Paul, Rossi, Francesco

Year:

2010

Language:

english

File:

PDF, 821 KB

english, 2010

38

[IEEE 2012 IEEE 51st Annual Conference on Decision and Control (CDC) - Maui, HI, USA (2012.12.10-2012.12.13)] 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - Optimal control for reconstruction of curves without cusps

Boscain, Ugo, Duits, Remco, Rossi, Francesco, Sachkov, Yuri

Year:

2012

Language:

english

File:

PDF, 686 KB

english, 2012

39

[IEEE 2008 47th IEEE Conference on Decision and Control - Cancun, Mexico (2008.12.9-2008.12.11)] 2008 47th IEEE Conference on Decision and Control - Controllability properties of discrete-spectrum Schrödinger equations

Chambrion, Thomas, Mason, Paolo, Sigalotti, Mario, Boscain, Ugo

Year:

2008

Language:

english

File:

PDF, 257 KB

english, 2008

40

[IEEE 2008 47th IEEE Conference on Decision and Control - Cancun, Mexico (2008.12.9-2008.12.11)] 2008 47th IEEE Conference on Decision and Control - Limit time optimal synthesis for a two-level quantum system

Mason, Paolo, Salmoni, Rebecca, Boscain, Ugo, Chitour, Yacine

Year:

2008

Language:

english

File:

PDF, 326 KB

english, 2008

41

A note on stability conditions for planar switched systems

Balde, Moussa, Boscain, Ugo, Mason, Paolo

Journal:

International Journal of Control

Year:

2009

Language:

english

File:

PDF, 174 KB

english, 2009

42

On Automaton Recognizability of Abnormal Extremals

Boscain, Ugo, Piccoli, Benedetto

Journal:

SIAM Journal on Control and Optimization

Year:

2002

Language:

english

File:

PDF, 369 KB

english, 2002

43

Optimal control in laser-induced population transfer for two- and three-level quantum systems

Boscain, Ugo, Charlot, Grégoire, Gauthier, Jean-Paul, Guérin, Stéphane, Jauslin, Hans-Rudolf

Journal:

Journal of Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 469 KB

english, 2002

44

[IEEE 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) - Firenze (2013.12.10-2013.12.13)] 52nd IEEE Conference on Decision and Control - Invariant sets of defocused switched systems

Nilsson, Petter, Boscain, Ugo, Sigalotti, Mario, Newling, James

Year:

2013

Language:

english

File:

PDF, 420 KB

english, 2013

45

[IEEE 44th IEEE Conference on Decision and Control - Seville, Spain (12-15 Dec. 2005)] Proceedings of the 44th IEEE Conference on Decision and Control - Stability of Nonlinear Switched Systems on the Plane

Boscain, U., Charlot, G., Sigalotti, M.

Year:

2005

Language:

english

File:

PDF, 202 KB

english, 2005

46

[IEEE 2003 International Conference Physics and Control. - Saint Petersburg, Russia (20-22 Aug. 2003)] 2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775) - Design of laser pulses for STIRAP processes with geometric control techniques

Boscain, U., Charlot, G.

Year:

2003

Language:

english

File:

PDF, 263 KB

english, 2003

47

[IEEE 2012 IEEE 51st Annual Conference on Decision and Control (CDC) - Maui, HI, USA (2012.12.10-2012.12.13)] 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - Time minimal trajectories for two-level quantum systems with two bounded controls

Boscain, Ugo, Long, Ruixing

Year:

2012

Language:

english

File:

PDF, 605 KB

english, 2012

48

[IEEE 2012 IEEE 51st Annual Conference on Decision and Control (CDC) - Maui, HI, USA (2012.12.10-2012.12.13)] 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - Controllability of the Schrödinger equation via adiabatic methods and conical intersections of the eigenvalues

Chittaro, Francesca Carlotta, Mason, Paolo, Boscain, Ugo, Sigalotti, Mario

Year:

2012

Language:

english

File:

PDF, 665 KB

english, 2012

49

[IEEE 2008 47th IEEE Conference on Decision and Control - Cancun, Mexico (2008.12.9-2008.12.11)] 2008 47th IEEE Conference on Decision and Control - Shortest paths on 3-D simple Lie groups with nonholonomic constraint

Boscain, Ugo, Rossi, Francesco

Year:

2008

Language:

english

File:

PDF, 410 KB

english, 2008

50

[IEEE 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC) - Shanghai, China (2009.12.15-2009.12.18)] Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference - Generic controllability properties for the bilinear Schrödinger equation

Sigalotti, Mario, Mason, Paolo, Boscain, Ugo, Chambrion, Thomas

Year:

2009

Language:

english

File:

PDF, 503 KB

english, 2009