[rizzi1]

Chargé de Recherche CNRS, Institut Fourier

**Email:** *luca.rizzi AT univ-grenoble-alpes.fr*

Research interests: Sub-Riemannian Geometry, Comparison Geometry, Geometric Control Theory, Optimal Control, Optimal transport

**Home-page:** http://rizzilu.perso.math.cnrs.fr/

**arxiv id:** Rizzi_L_1

- D. Barilari - L. Rizzi (Preprint)

Sharp measure contraction property for generalized H-type Carnot groups (2017) - A. Lerario - L. Rizzi (
*Journal of symplectic geometry*)

How many geodesics join two points on a contact sub-Riemannian manifold? (2017) - D. Barilari - L. Rizzi (Preprint)

Sub-Riemannian interpolation inequalities: ideal structures (2017) - U. Boscain - R. Neel - L. Rizzi (
*Adv. Math.*)

Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry (2017) - L. Rizzi - U. Serres (
*Proceedings of the AMS*)

On the cut locus of free, step two Carnot groups (2017) - D. Barilari - L. Rizzi (
*Archivum Mathematicum*)

On Jacobi fields and a canonical connection in sub-Riemannian geometry (2017) - D. Prandi - L. Rizzi - M. Seri (Preprint)

Quantum confinement on non-complete Riemannian manifolds (2016) - L. Rizzi (
*Calculus of Variations and PDEs*)

Measure contraction properties of Carnot groups (2016) - A. Agrachev - U. Boscain - R. Neel - L. Rizzi (Accepted Paper:
*ESAIM: COCV*)

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling (2016) - L. Rizzi - P. Silveira (Accepted Paper:
*Journal of the Institute of Mathematics of Jussieu*)

Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds (2015) - A. Agrachev - D. Barilari - L. Rizzi (
*Journal of Geometric Analysis*)

Sub-Riemannian curvature in contact geometry (2015) - D. Prandi - L. Rizzi - M. Seri (Accepted Paper:
*Journal of Differential Geometry*)

A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators (2015) - D. Barilari - L. Rizzi (
*Control, Optimisation and Calculus of Variations*)

Comparison theorems for conjugate points in sub-Riemannian geometry (2014) - A. Agrachev - D. Barilari - L. Rizzi (Accepted Paper:
*Memoirs of the AMS*)

Curvature: a variational approach (2013) - D. Barilari - L. Rizzi (
*Analysis and Geometry in Metric Spaces*)

A formula for Popp's volume in sub-Riemannian geometry (2013) - A. Agrachev - L. Rizzi - P. Silveira (
*Journal of Dynamical and Control Systems*)

On conjugate times of LQ optimal control problems (2013)