On the Hausdorff volume in sub-Riemannian geometry, Calc. Var. Partial Differential Equations, vol.43, issue.3-4, pp.355-388, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00672260
A Comprehensive Introduction to Sub-Riemannian geometry, Cambridge Studies in Advanced Mathematics, vol.181, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02019181
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups, J. Funct. Anal, vol.256, issue.8, pp.2621-2655, 2009. ,
Rigid Carnot algebras: a classification, J. Dyn. Control Syst, vol.11, issue.4, pp.449-494, 2005. ,
Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry, Translation of Sovrem. Mat. Prilozh, vol.195, issue.3, pp.391-411, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00672262
The tangent space in sub-Riemannian geometry, Sub-Riemannian geometry, vol.144, pp.1-78, 1996. ,
Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale, Ann. Inst. Fourier (Grenoble), vol.39, issue.1, pp.73-99, 1989. ,
Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. Probab. Theory Related Fields, vol.90, pp.175-202, 1991. ,
Décroissance exponentielle du noyau de la chaleur sur la diagonale, vol.90, pp.377-402, 1991. ,
Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés, Ann. Inst. Fourier (Grenoble), vol.19, issue.1, pp.277-304, 1969. ,
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Differential Geom, vol.17, issue.1, pp.15-53, 1982. ,
Spectral asymptotics for sub-Riemannian Laplacians II: equiregular structures, Grushin and Martinet cases ,
Spectral asymptotics for sub-Riemannian Laplacians, III: general singular structures ,
Quantum ergodicity and quantum limits for sub-Riemannian Laplacians, Séminaire Laurent Schwartz-Équations aux dérivées partielles et applications. Année, 2014. ,
Spectral asymptotics for sub-Riemannian Laplacians, I: Quantum ergodicity and quantum limits in the 3-dimensional contact case, Duke Math. J, vol.167, issue.1, pp.109-174, 2018. ,
Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem, Proc. Lond. Math. Soc, vol.96, issue.3, pp.507-544, 2008. ,
Spectral properties of hypoelliptic operators, Comm. Math. Phys, vol.235, issue.2, pp.233-253, 2003. ,
One-parameter semigroups for linear evolution equations, Graduate Texts in Mathematics, vol.194, 2000. ,
Collapsing of Riemannian manifolds and eigenvalues of Laplace operator, Invent. Math, vol.87, issue.3, pp.517-547, 1987. ,
Collapsing Riemannian metrics to Carnot-Carathéodory metrics and Laplacians to sub-Laplacians, Canad. J. Math, vol.45, issue.3, pp.537-553, 1993. ,
Carnot-Carathéodory spaces seen from within, Sub-Riemannian geometry, vol.144, pp.79-323, 1996. ,
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians, Lecture Notes in Mathematics, vol.1862, 2005. ,
On the division of distributions by polynomials, Ark. Mat, vol.3, pp.555-568, 1958. ,
Hypoelliptic second order differential equations, Acta Math, vol.119, pp.147-171, 1967. ,
On the principle of not feeling the boundary for diffusion processes, J. London Math. Soc, vol.51, issue.2, pp.373-382, 1995. ,
Phénomènes de perturbation singulière dans les problèmes aux limites, Ann. Inst. Fourier. Grenoble, vol.10, pp.61-150, 1960. ,
Control of nonholonomic systems: from sub-Riemannian geometry to motion planning, Springer Briefs in Mathematics, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01137580
Estimates for the heat kernel for a sum of squares of vector fields, Indiana Univ. Math. J, vol.35, issue.4, pp.835-854, 1986. ,
Off diagonal short time asymptotics for fundamental solutions of diffusion equations, Commun. Partial Differ. Equations, vol.2, issue.8, pp.781-830, 1977. ,
Pseudo-differential operators and hypoellipticity, Partial differential equations (Proc. Sympos, vol.XXIII, pp.61-69, 1971. ,
Long time estimates for the heat kernel associated with a uniformly subelliptic symmetric second order operator, Ann. of Math, vol.127, issue.2, pp.165-189, 1988. ,
Lecture Notes on sub-Riemannian geometry, Lecture Notes. Ongoing work, 2017. ,
Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lecture Notes in Mathematics, vol.323, 1973. ,
Estimations du noyau de la chaleur sur les espaces homogènes, J. Geom. Anal, vol.8, issue.1, pp.65-96, 1998. ,
Classification of Carnot algebras: the semi-rigid cases, J. Dyn. Control Syst, vol.13, issue.1, pp.95-119, 2007. ,
The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two, J. Analyse Math, vol.44, p.85, 1984. ,
On the eigenvalues of a class of hypoelliptic operators, Math. Ann, vol.235, issue.1, pp.55-85, 1978. ,
Fonction spectrale et valeurs propres d'une classe d'opérateurs non elliptiques, Comm. Partial Differential Equations, vol.1, issue.5, pp.467-519, 1976. ,
A tour of subriemannian geometries, their geodesics and applications, Mathematical Surveys and Monographs, vol.91, 2002. ,
, Semigroups of linear operators and applications to partial differential equations, 1983.
Sub-Riemannian geometry and optimal transport, Springer Briefs in Mathematics, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01131787
Sub-Riemannian limit of the differential form spectrum of contact manifolds, Geom. Funct. Anal, vol.10, issue.2, pp.407-452, 2000. ,
A note on Poincaré, Sobolev, and Harnack inequalities, Internat. Math. Res. Notices, issue.2, pp.27-38, 1992. ,
Fundamental solutions and geometry of the sum of squares of vector fields, Invent. Math, vol.78, issue.1, pp.143-160, 1984. ,
Sub-Riemannian geometry, J. Differential Geom, vol.24, issue.2, pp.221-263, 1986. ,
Small time Gaussian estimates of heat diffusion kernels. II. The theory of large deviations, J. Funct. Anal, vol.93, issue.1, pp.1-33, 1990. ,