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On the heat diffusion for generic Riemannian and sub-Riemannian structures

 Davide Barilari , Ugo Boscain , Grégoire Charlot , Robert W. Neel
International Mathematics Research Notices, 2017, 15, pp.4639-4672. ⟨10.1093/imrn/rnw141⟩
Article dans une revue hal-00879444v1

Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions

 Davide Barilari , Ugo Boscain , Enrico Le Donne , Mario Sigalotti
2015
Pré-publication, Document de travail hal-01164043v1

On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

 Davide Barilari , Ugo Boscain , Daniele Cannarsa
ESAIM: Control, Optimisation and Calculus of Variations, 2022, 28 (9)
Article dans une revue hal-03091917v1

Time-Optimal Synthesis for Three Relevant Problems: The Brockett Integrator, the Grushin Plane and the Martinet Distribution

 Davide Barilari , Ugo Boscain , Enrico Le Donne , Mario Sigalotti
54th IEEE Conference on Decision and Control, 2015, Osaka, Japan
Communication dans un congrès hal-01216012v1

Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators

 Davide Barilari , Paoli Elisa
2015
Pré-publication, Document de travail hal-01222963v1
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On Jacobi fields and canonical connection in sub-Riemannian geometry

 Davide Barilari , Luca Rizzi
Archivum Mathematicum, 2017, 53 (2), pp.77-92. ⟨10.5817/AM2017-2-77⟩
Article dans une revue hal-01160902v2

On the smoothness of the value function for affine optimal control problems

 Davide Barilari , Boarotto Francesco
2016
Pré-publication, Document de travail hal-01387085v1
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A Formula for Popp’s Volume in Sub-Riemannian Geometry

 Davide Barilari , Luca Rizzi
Analysis and Geometry in Metric Spaces, 2013, 1, ⟨10.2478/agms-2012-0004⟩
Article dans une revue hal-00751222v1
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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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Sub-Riemannian interpolation inequalities

 Davide Barilari , Luca Rizzi
Inventiones Mathematicae, 2019, 215 (3), pp.977-1038. ⟨10.1007/s00222-018-0840-y⟩
Article dans une revue hal-01524541v1
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On 2-step, corank 2 nilpotent sub-Riemannian metrics

 Davide Barilari , Ugo Boscain , Jean-Paul Gauthier
SIAM Journal on Control and Optimization, 2012, 50 (1), pp.559-582
Article dans une revue hal-00596665v2
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Spectral summability for the quartic oscillator with applications to the Engel group

 Hajer Bahouri , Davide Barilari , Isabelle Gallagher , Matthieu Léautaud
2022
Pré-publication, Document de travail hal-03699288v1

Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics

 Andrei Agrachev , Davide Barilari , Paoli Elisa
2016
Pré-publication, Document de travail hal-01284352v1

Small time heat kernel asymptotics at the cut locus on surfaces of revolution

 Davide Barilari , Jacek Jendrej
2012
Pré-publication, Document de travail hal-00750533v1

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

 Davide Barilari , Ugo Boscain , Mario Sigalotti
European Mathematical Society, 2016, EMS Series of Lectures in Mathematics, 978-3-03719-163-7. ⟨10.4171/163⟩
Ouvrages hal-01390382v1

Small time heat kernel asymptotics at the sub-Riemannian cut locus

 Davide Barilari , Ugo Boscain , Robert W. Neel
2012
Pré-publication, Document de travail hal-00687651v1

Sub-Riemannian structures on 3D Lie groups

 Andrei Agrachev , Davide Barilari
2011
Pré-publication, Document de travail hal-00672261v1
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Sharp measure contraction property for generalized H-type Carnot groups

 Davide Barilari , Luca Rizzi
Communications in Contemporary Mathematics, 2018, 20 (6), ⟨10.1142/S021919971750081X⟩
Article dans une revue hal-01468967v2

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

On sub-Riemannian geodesic curvature in dimension three

 Davide Barilari , Mathieu Kohli
2019
Pré-publication, Document de travail hal-02338688v1

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

On the Hausdorff volume in sub-Riemannian geometry

 Andrei Agrachev , Davide Barilari , Ugo Boscain
2011
Pré-publication, Document de travail hal-00672260v1

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
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On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

 Davide Barilari , Yacine Chitour , Frédéric Jean , Dario Prandi , Mario Sigalotti
Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.118-138. ⟨10.1016/j.matpur.2019.04.008⟩
Article dans une revue hal-01757343v2

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

Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry

 Davide Barilari
2011
Pré-publication, Document de travail hal-00672262v1
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Strichartz estimates and Fourier restriction theorems on the Heisenberg group

 Hajer Bahouri , Davide Barilari , Isabelle Gallagher
Journal of Fourier Analysis and Applications, 2021, 27, pp.21. ⟨10.1007/s00041-021-09822-5⟩
Article dans une revue hal-02357244v2

A sub-Riemannian Bonnet-Myers theorem for quaternionic contact structures

 Davide Barilari , Stefan Ivanov
2017
Pré-publication, Document de travail hal-01489727v1

Volume of small balls and sub-Riemannian curvature in 3D contact manifolds

 Davide Barilari , Ivan Beschastnyi , Antonio Lerario
2018
Pré-publication, Document de travail hal-01728613v1
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Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature

 Davide Barilari , Francesco Boarotto
Journal of Evolution Equations, 2018, 18 (3), pp.1115-1146
Article dans une revue hal-01593179v1
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