Davide Barilari

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Refined Strichartz Estimates for sub-Laplacians in Heisenberg and $H$-type groups	2025	Davide Barilari Steven Flynn
+	Hypoelliptic Operators in Geometry	2023	Davide Barilari Xiaonan Ma Nikhil Savale Yi Wang
+ PDF Chat	Steiner and tube formulae in 3D contact sub-Riemannian geometry	2023	Davide Barilari Tania Bossio
+ PDF Chat	Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures	2022	Davide Barilari Andrea Mondino Luca Rizzi
+	Spectral summability for the quartic oscillator with applications to the Engel group	2022	Hajer Bahouri Davide Barilari Isabelle Gallagher Matthieu Léautaud
+	Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures	2022	Davide Barilari Andrea Mondino L. Rizzi
+ PDF Chat	On sub-Riemannian geodesic curvature in dimension three	2021	Davide Barilari Mathieu Kohli
+ PDF Chat	Strichartz Estimates and Fourier Restriction Theorems on the Heisenberg Group	2021	Hajer Bahouri Davide Barilari Isabelle Gallagher
+ PDF Chat	Bakry–Émery curvature and model spaces in sub-Riemannian geometry	2020	Davide Barilari Luca Rizzi
+ PDF Chat	Volume of small balls and sub-Riemannian curvature in 3D contact manifolds	2020	Davide Barilari Ivan Beschastnyi Antonio Lerario
+ PDF Chat	Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group	2019	Davide Barilari Ugo Boscain Robert W. Neel
+	Geometry of Surfaces in R3	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Nonholonomic Tangent Space	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Regularity of the Sub-Riemannian Distance	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Volumes in Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Geometry of Parametrized Curves in Lagrangian Grassmannians Igor Zelenko	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Sub-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Curves in the Lagrange Grassmannian	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	First Integrals and Integrable Systems	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Asymptotic Expansion of the 3D Contact Exponential Map	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Endpoint Map and Exponential Map	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Vector Fields	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Lie Groups and Left-Invariant Sub-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Introduction	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Some Model Spaces	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Preface	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Riemannian Curvature	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Curvature in 3D Contact Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Jacobi Curves	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Integrability of the Sub-Riemannian Geodesic Flow on 3D Lie Groups	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	2D Almost-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Pontryagin Extremals: Characterization and Local Minimality	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	The Sub-Riemannian Heat Equation	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Index	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+ PDF Chat	A Comprehensive Introduction to Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+ PDF Chat	Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics	2019	Andrei Agrachev Davide Barilari Elisa Paoli
+ PDF Chat	On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures	2019	Davide Barilari Yacine Chitour Frédéric Jean Dario Prandi Mario Sigalotti
+ PDF Chat	A Bonnet–Myers type theorem for quaternionic contact structures	2019	Davide Barilari Stefan Ivanov
+	Strichartz estimates and Fourier restriction theorems on the Heisenberg group	2019	Hajer Bahouri Davide Barilari Isabelle Gallagher
+ PDF Chat	Sub-Riemannian interpolation inequalities	2018	Davide Barilari Luca Rizzi
+	Curvature: A Variational Approach	2018	Andrei Agrachev Davide Barilari Luca Rizzi
+ PDF Chat	Curvature: A Variational Approach	2018	Andrei Agrachev Davide Barilari Luca Rizzi
+	On the regularity of abnormal minimizers for rank $2$ sub-Riemannian structures	2018	Davide Barilari Yacine Chitour Frédéric Jean Dario Prandi Mario Sigalotti
+ PDF Chat	Kolmogorov–Fokker–Planck operators in dimension two: heat kernel and curvature	2018	Davide Barilari Francesco Boarotto
+ PDF Chat	On the Set of Points of Smoothness for the Value Function of Affine Optimal Control Problems	2018	Davide Barilari Francesco Boarotto
+	On the regularity of abnormal minimizers for rank $2$ sub-Riemannian structures	2018	Davide Barilari Yacine Chitour Frédéric Jean Dario Prandi Mario Sigalotti
+ PDF Chat	Sharp measure contraction property for generalized H-type Carnot groups	2017	Davide Barilari Luca Rizzi
+ PDF Chat	Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators	2017	Davide Barilari Elisa Paoli
+	Sub-Riemannian interpolation inequalities: ideal structures	2017	Davide Barilari Luca Rizzi
+	A sub-Riemannian Bonnet-Myers theorem for quaternionic contact structures	2017	Davide Barilari Stefan Ivanov
+	A Bonnet-Myers type theorem for quaternionic contact structures	2017	Davide Barilari Stefan Ivanov
+ PDF Chat	On Jacobi fields and a canonical connection in sub-Riemannian geometry	2017	Davide Barilari Luca Rizzi
+	Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature	2017	Davide Barilari Francesco Boarotto
+	A Bonnet-Myers type theorem for quaternionic contact structures	2017	Davide Barilari Stefan Ivanov
+	On the smoothness of the value function for affine optimal control problems	2016	Davide Barilari Francesco Boarotto
+	On the set of points of smoothness for the value function for affine optimal control problems	2016	Davide Barilari Francesco Boarotto
+	Davide Barilari - Distorsion géodésique du volume et courbure de Ricci	2016	Davide Barilari Fanny Bastien
+	Introduction to geodesics in sub-Riemannian geometry	2016	Andrei Agrachev Davide Barilari Ugo Boscain
+	Geometry, Analysis and Dynamics on sub-Riemannian Manifolds	2016	Davide Barilari Ugo Boscain Mario Sigalotti
+ PDF Chat	Sub-Finsler Structures from the Time-Optimal Control Viewpoint for some Nilpotent Distributions	2016	Davide Barilari Ugo Boscain Enrico Le Donne Mario Sigalotti
+ PDF Chat	On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures	2016	Davide Barilari Ugo Boscain G. Charlot Robert W. Neel
+	Geometry, Analysis and Dynamics on sub-Riemannian Manifolds	2016	Davide Barilari Ugo Boscain Mario Sigalotti
+ PDF Chat	Sub-Riemannian Curvature in Contact Geometry	2016	Andrei Agrachev Davide Barilari Luca Rizzi
+	On the set of points of smoothness for the value function for affine optimal control problems	2016	Davide Barilari Francesco Boarotto
+	Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group	2016	Davide Barilari Ugo Boscain Robert W. Neel
+ PDF Chat	Time-optimal synthesis for three relevant problems: The Brockett integrator, the Grushin plane and the Martinet distribution	2015	Davide Barilari Ugo Boscain Enrico Le Donne Mario Sigalotti
+	Curvature terms in small time heat kernel expansion for a model class of hypoelliptic H\"{o}rmander operators	2015	Davide Barilari Elisa Paoli
+ PDF Chat	Comparison theorems for conjugate points in sub-Riemannian geometry	2015	Davide Barilari Luca Rizzi
+	Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions	2015	Davide Barilari Ugo Boscain Enrico Le Donne Mario Sigalotti
+	Geometry of Maslov cycles	2014	Davide Barilari Antonio Lerario
+ PDF Chat	Asymptotiques en temps petit du noyau de la chaleur des métriques riemanniennes et sous-riemanniennes	2014	Davide Barilari Ugo Boscain G. Charlot Robert W. Neel
+ PDF Chat	Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry	2013	Davide Barilari
+	The curvature: a variational approach	2013	Andrei Agrachev Davide Barilari Luca Rizzi
+	Small time heat kernel asymptotics at the cut locus on surfaces of revolution	2013	Davide Barilari Jacek Jendrej
+ PDF Chat	A Formula for Popp’s Volume in Sub-Riemannian Geometry	2013	Davide Barilari Luca Rizzi
+	On the heat diffusion for generic Riemannian and sub-Riemannian structures	2013	Davide Barilari Ugo Boscain G. Charlot Robert W. Neel
+	Geometry of Maslov cycles	2013	Davide Barilari Antonio Lerario
+	Small time heat kernel asymptotics at the cut locus on two-spheres of revolution	2012	Davide Barilari Jacek Jendrej
+	Small time heat kernel asymptotics at the cut locus on surfaces of revolution	2012	Davide Barilari Jacek Jendrej
+ PDF Chat	Small-time heat kernel asymptotics at the sub-Riemannian cut locus	2012	Davide Barilari Ugo Boscain Robert W. Neel
+	Introduction to Riemannian and Sub-Riemannian geometry	2012	Andrei Agrachev Davide Barilari Ugo Boscain
+	A formula for Popp\'s volume in sub-Riemannian geometry	2012	Luca Rizzi Davide Barilari
+ PDF Chat	Sub-Riemannian structures on 3D lie groups	2012	Andrei Agrachev Davide Barilari
+ PDF Chat	On 2-Step, Corank 2, Nilpotent Sub-Riemannian Metrics	2012	Davide Barilari Ugo Boscain Jean-Paul Gauthier
+	Small time heat kernel asymptotics at the sub-Riemannian cut locus	2012	Davide Barilari Ugo Boscain Robert W. Neel
+ PDF Chat	On 2-step, corank 2 nilpotent sub-Riemannian metrics	2012	Davide Barilari Ugo Boscain Jean-Paul Gauthier
+	Small time heat kernel asymptotics at the cut locus on surfaces of revolution	2012	Davide Barilari Jacek Jendrej
+	Invariants, volumes and heat kernels in sub-Riemannian geometry	2011	Andrei Agrachev Davide Barilari
+	Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry	2011	Davide Barilari
+ PDF Chat	On the Hausdorff volume in sub-Riemannian geometry	2011	Andrei Agrachev Davide Barilari Ugo Boscain
+	Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry	2011	Davide Barilari
+	Sub-Riemannian structures on 3D Lie groups	2010	Andrei Agrachev Davide Barilari
+	Sub-Riemannian structures on 3D Lie groups	2010	Andrei Agrachev Davide Barilari

Common Coauthors

Coauthor	Papers Together
Ugo Boscain	41
Andrei Agrachev	36
Luca Rizzi	13
Mario Sigalotti	8
Robert W. Neel	7
Francesco Boarotto	6
Stefan Ivanov	4
Jacek Jendrej	4
G. Charlot	3
Isabelle Gallagher	3
Enrico Le Donne	3
Elisa Paoli	3
Antonio Lerario	3
Hajer Bahouri	3
Yacine Chitour	3
Dario Prandi	3
Frédéric Jean	3
Andrea Mondino	2
Jean-Paul Gauthier	2
Fanny Bastien	1
Tania Bossio	1
L. Rizzi	1
Matthieu Léautaud	1
Nikhil Savale	1
Mathieu Kohli	1
Ivan Beschastnyi	1
Yi Wang	1
Xiaonan Ma	1
Steven Flynn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery	47
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov	45
+	Exponential mappings for contact sub-Riemannian structures	1996	Andrei Agrachev	43
+ PDF Chat	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups	2009	Andrei Agrachev Ugo Boscain Jean-Paul Gauthier Francesco Rossi	42
+ PDF Chat	Sub-Riemannian geometry	1986	Robert S. Strichartz	40
+	Differential geometry of curves in Lagrange Grassmannians with given Young diagram	2009	Igor Zelenko Chengbo Li	36
+ PDF Chat	Morse-Sard type results in sub-Riemannian geometry	2005	Ludovic Rifford E. Tr�lat	36
+ PDF Chat	Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry	2013	Davide Barilari	35
+ PDF Chat	Any sub-Riemannian metric has points of smoothness	2009	Andrei Agrachev	35
+ PDF Chat	Sub-Riemannian structures on 3D lie groups	2012	Andrei Agrachev Davide Barilari	35
+ PDF Chat	A Formula for Popp’s Volume in Sub-Riemannian Geometry	2013	Davide Barilari Luca Rizzi	34
+ PDF Chat	Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale	1989	Gérard Ben Arous	34
+ PDF Chat	Small-time heat kernel asymptotics at the sub-Riemannian cut locus	2012	Davide Barilari Ugo Boscain Robert W. Neel	34
+ PDF Chat	Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds	2014	Andrei Agrachev Paul W. Y. Lee	33
+	Small sub-Riemannian balls onR 3	1996	El-H. Ch. El-Alaoui Jean-Yves Gauthier Ivan Kupka	33
+	Sub-Riemannian Geometry and Optimal Transport	2014	Ludovic Rifford	33
+ PDF Chat	Curvature: A Variational Approach	2018	Andrei Agrachev Davide Barilari Luca Rizzi	33
+ PDF Chat	On the subanalyticity of Carnot–Caratheodory distances	2001	Andrei Agrachev Jean-Paul Gauthier	32
+ PDF Chat	Maxwell strata in sub-Riemannian problem on the group of motions of a plane	2009	Игорь Анатольевич Моисеев Yuri L. Sachkov	32
+ PDF Chat	Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces	2008	Ugo Boscain Francesco Rossi	32
+ PDF Chat	On Carnot-Carathéodory metrics	1985	John W. Mitchell	32
+ PDF Chat	Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents	1977	Bernard Gaveau	32
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	32
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	32
+	Local invariants of smooth control systems	1989	Andrei Agrachev Р. В. Гамкрелидзе Andrey Sarychev	31
+	Sub-Riemannian homogeneous spaces in dimensions 3 and 4	1996	Elisha Falbel Cláudio Gorodski	31
+	Stratified Lie Groups and Potential Theory for their Sub-Laplacians	2007	Andrea Bonfiglioli Ermanno Lanconelli Francesco Uguzzoni	30
+	Nonholonomic manifolds and nilpotent analysis	1988	V. Gershkovich A. M. Vershik	30
+	On subriemannian caustics and wave fronts, for contact distributions in the three-space	2000	Andrei Agrachev G. Charlot Jean-Paul Gauthier V. M. Zakalyukin	30
+ PDF Chat	Carnot-Carathéodory spaces seen from within	1996	Mikhael Gromov	30
+	DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY	1975	Stanislav Molchanov	30
+ PDF Chat	Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane	2009	Yuri L. Sachkov	30
+	Feedback-invariant optimal control theory and differential geometry—I. Regular extremals	1997	Andrei Agrachev Р. В. Гамкрелидзе	29
+ PDF Chat	On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures	2016	Davide Barilari Ugo Boscain G. Charlot Robert W. Neel	29
+	Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group	1974	Gerald B. Folland E. M. Stein	29
+ PDF Chat	The Laplace-Beltrami operator in almost-Riemannian Geometry	2013	Ugo Boscain Camille Laurent	29
+	A Panoramic View of Riemannian Geometry	2003	Marcel Berger	29
+ PDF Chat	Subelliptic estimates and function spaces on nilpotent Lie groups	1975	Gerald B. Folland	29
+ PDF Chat	Sub-Riemannian sphere in Martinet flat case	1997	Andrei Agrachev Bernard Bonnard Monique Chyba Ivan Kupka	29
+ PDF Chat	On 2-Step, Corank 2, Nilpotent Sub-Riemannian Metrics	2012	Davide Barilari Ugo Boscain Jean-Paul Gauthier	28
+ PDF Chat	Optimal transportation under nonholonomic constraints	2009	Andrei Agrachev Paul Lee	28
+	None	1999	Andrei Agrachev Jean-Paul André Gauthier	28
+ PDF Chat	Genericity results for singular curves	2006	Yacine Chitour Frédéric Jean Emmanuel Trélat	28
+ PDF Chat	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	28
+	A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds	2008	Andrei Agrachev Ugo Boscain Mario Sigalotti	27
+ PDF Chat	The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds	2008	Fabrice Baudoin Michel Bonnefont	27
+	Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes	1933	Élie Cartan	27
+	Linear differential systems with singularities and an application to transitive Lie algebras	1966	Tadashi Nagano	27
+	The Laplacian on a Riemannian Manifold	1997	Steven Rosenberg	27
+ PDF Chat	An extension of a theorem of Nagano on transitive Lie algebras	1974	Héctor J. Sussmann	27