Papers and Preprints

Topics in sub-Riemannian Geometry (Ph.D Thesis, Supervisor: prof Andrei A. Agrachev)

Papers

  • 1. Conformal equivalence of sub-Riemannian 3D contact structures on Lie Groups, J. Dyn. Control Syst. Volume 22, Number 2 (2016), 251-283. DOI: https://doi.org/10.1007/s10883-015-9273-8

  • 2. Homotopy properties of horizontal path spaces and a theorem of Serre in sub-Riemannian geometry (with A. Lerario), Communications in Analysis and Geometry. Volume 25, Number 2 (2017), 269-301. DOI: http://dx.doi.org/10.4310/CAG.2017.v25.n2.a1

  • 3. Homotopically invisible singular curves (with A. A. Agrachev and A. Lerario), Calc. Var. Partial Differential Equations. Volume 56, Issue 4, 1 August 2017, Article number 105. DOI: https://doi.org/10.1007/s00526-017-1203-z

  • 4. On the set of points of smoothness for the value function of affine optimal control problems (with D. Barilari), SIAM Journal of Control and Optimization, 56 (2018), no. 2, 649–671. DOI: https://doi.org/10.1137/17M1123948

  • 5. Time-optimal trajectories of generic control-affine systems have at worst iterated Fuller singularities (with M. Sigalotti), Annales Institut Henri Poincaré - Analyse Non Linéaire, Volume 36, Issue 2, (2019), 327-346. DOI: https://doi.org/10.1016/j.anihpc.2018.05.005

  • 6. Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature (with D. Barilari), Journal of Evolution Equations, Volume 18, Issue 3, (2018), 1115-1146. DOI: https://doi.org/10.1007/s00028-018-0434-6

  • 7. Dwell-time control sets and applications to the stability analysis of linear switched systems (with M. Sigalotti), J. Differential Equations 268 (2020), no. 4, 1345-1378. DOI: https://doi.org/10.1016/j.jde.2019.08.049

  • 8. A dynamical approach to the Sard problem in Carnot groups (with D. Vittone), J. Differential Equations 269 (2020), no. 6, 4998-5033. DOI: https://doi.org/10.1016/j.jde.2020.03.050

  • 9. Fuller singularities for generic control-affine systems with an even number of controls (with Y. Chitour and M. Sigalotti), SIAM Journal of Control and Optimization, 58 (2020), no. 2, 1207-1228. DOI: https://doi.org/10.1137/19M1285305

  • 10. Third order open mapping theorems and applications to the end-point map (with R. Monti and F. Palmurella), Nonlinearity 33 (2020), no. 9, 4539–4567. DOI: https://doi.org/10.1088/1361-6544/ab8bad

  • 11. Normal forms for the endpoint map near nice singular curves for rank-two distributions (with A. A. Agrachev), ESAIM Control Optim. Calc. Var. 27 (2021), suppl., Paper No. S30, 32 pp. DOI: https://doi.org/10.1051/cocv/2020089

  • 12. On the Lebesgue measure of the boundary of the evoluted sets (with L. Caravenna, F. Rossi and D. Vittone), Systems Control Lett. 158 (2021), Paper No. 105078. DOI: https://doi.org/10.1016/j.sysconle.2021.105078