Publications [mathscinet]
Submitted papers
a. Regularization of chattering phenomena via bounded variation controls,
preprint arXiv:1303.5796
with M.Caponigro, B.Piccoli, E.Trélat [pdf]
Chapter
1. Sobolev and bounded variation functions on metric measure spaces,
Geometry, Analysis and Dynamics in SR manifolds, vol.II,
EMS Lecture Notes series (2016), 63 pp.,
DOI 10.4171/163-1/4
preprint cvgmt
with L.Ambrosio [pdf]
Journal papers
2. Optimal control of a multi-level dynamic model for biofuel production,
Mathematical Control and Related Fields, to appear
preprint arXiv:1303.6688
with B.Piccoli [pdf]
3. Hausdorff volume in non equiregular sub-Riemannian manifolds,
Nonlinear Analysis Series A: Theory, Methods & Applications, 126 pp.345-377, 2015
DOI 10.1016/j.na.2015.06.11
preprint arXiv:1501.05342
with F.Jean [pdf]
4. BV functions and sets of finite perimeter in sub-Riemannian manifolds,
Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, 31 pp. 489-517, 2015
DOI 10/1016/j.anihpc.2014.01.005
preprint arXiv:1303.6074
with L.Ambrosio and V.Magnani [pdf]
5. Normal Forms and invariants for 2-dimensional almost-Riemannian structures,
Differential Geometry and its Applications, 31 (I), pp. 41-62, 2013
DOI 10.1016/j.difgeo2012.10.001
preprint arXiv:10085036,
with U.Boscain, G.Charlot [pdf]
6. A new class of (H^k,1)-rectifiable subsets of metric spaces,
Communications on Pure and Applied Analysis, 12 (2), pp. 881-898, 2013
DOI 10.3934/cpaa.2013.12.881
preprint arXiv:11093181
with F.Jean [pdf]
7. Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces,
Journal of Geometric Analysis, 23 (1), pp 438-455, 2013
DOI 10.1007/s12220-011-9262-4
preprint arXiv:10034842
with U.Boscain, G.Charlot, M.Sigalotti [pdf]
8. On a class of vector fields with discontinuities of divide-by-zero type and its applications
to geodesics in singular metrics,
Journal of Dynamical and Control Systems, 18 (I) pp. 135-158, 2012
DOI 10.1007/s.10883-012-9137-4
with A.Remizov [pdf]
9. The Sphere and the Cut Locus at a Tangency Point in two-dimensional Almost-Riemannian
Geometry,
Journal of Dynamical and Control Systems, 17 (I) pp. 141-161, 2011
DOI 10.1007/s10883-011-9113-4
with B.Bonnard, G.Charlot, G.Janin [pdf]
10. Two-Dimensional Almost-Riemannian Structures with Tangency Points,
Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, 27 (3) pp. 793-807, 2010
DOI 10.1016/j.anihpc.2009.11.011
with A.Agrachev, U.Boscain, G.Charlot, M.Sigalotti [pdf]
Conference Proceedings
11. Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds,
Proceedings of “INdAM Meeting on geometric control and sub-Riemannian
geometry”
Cortona, May 2012,
Springer INdAM Series (5) pp 201-218,
preprint arXiv:1301.3682
with F.Jean [pdf]
12. Two-Dimensional Almost-Riemannian Structures with Tangency Points,
Proceedings of the 48th IEEE Conference on Decision and Control, Shangai, China 2009,
with A.Agrachev, U.Boscain, G.Charlot, M.Sigalotti [pdf]
Seminar Proceedings
13. On almost-Riemannian surfaces,
Séminaire de Théorie Spectrale et Géométrie (Grenoble) 29 (2010-2011), pp. 15-49,
[pdf]
14. On measures in sub-Riemannian geometry,
Séminaire de Théorie Spectrale et Géométrie (Grenoble), to appear
with F. Jean [pdf]
Ph.D. Thesis
Almost-Riemannian Geometry from a Control Theoretical Viewpoint [pdf]