Nombre de documents



Article dans une revue11 documents

  • Luca Rizzi, Ulysse Serres. On the cut locus of free, step two Carnot groups . Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145, pp.5341-5357. 〈hal-01377408v2〉
  • Davide Barilari, Luca Rizzi. On Jacobi fields and canonical connection in sub-Riemannian geometry. Archivum Mathematicum, Masarykova Universita, 2017, 53 (2), pp.77-92. 〈hal-01160902v2〉
  • Ugo Boscain, Robert Neel, Luca Rizzi. Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Advances in Mathematics, Elsevier, 2017, 〈10.1016/j.aim.2017.04.024〉. 〈hal-01122735v2〉
  • Antonio Lerario, Luca Rizzi. How many geodesics join two points on a contact sub-Riemannian manifold?. Journal of Symplectic Geometry, International Press, 2017, 〈10.4310/JSG.2017.v15.n1.a7〉. 〈hal-01096718〉
  • Andrei Agrachev, Davide Barilari, Luca Rizzi. Sub-Riemannian curvature in contact geometry. Journal of Geometric Analysis, 2016, 〈10.1007/s12220-016-9684-0〉. 〈hal-01160901v3〉
  • Luca Rizzi. Measure contraction properties of Carnot groups . Calculus of Variations and Partial Differential Equations, Springer Verlag, 2016, 〈10.1007/s00526-016-1002-y〉. 〈hal-01218376v3〉
  • D. Barilari, L. Rizzi. Comparison theorems for conjugate points in sub-Riemannian geometry. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, 22 (2), 〈10.1051/cocv/2015013〉. 〈hal-00931840〉
  • Andrei Agrachev, Luca Rizzi, Pavel Silveira. On conjugate times of LQ optimal control problems. Journal of Dynamical and Control Systems, Springer Verlag, 2014, pp.14. 〈hal-01096715〉
  • Davide Barilari, Luca Rizzi. A Formula for Popp’s Volume in Sub-Riemannian Geometry. Analysis and Geometry in Metric Spaces, 2013, 1, 〈10.2478/agms-2012-0004〉. 〈hal-00751222〉
  • Luca Rizzi, Oliver Piattella, Sergio Cacciatori, Vittorio Gorini. The step-harmonic potential. American Journal of Physics, American Association of Physics Teachers, 2010, pp.19. 〈10.1119/1.3379290〉. 〈hal-01122823〉
  • R. Brent Tully, Edward J. Shaya, Igor D. Karachentsev, Hélène M. Courtois, Dale D. Kocevski, et al.. Our Peculiar Motion Away from the Local Void. Astrophysical Journal, American Astronomical Society, 2008, 676, pp.184-205. 〈10.1086/527428〉. 〈hal-00416760〉

Pré-publication, Document de travail8 documents

  • Luca Rizzi. A counterexample to gluing theorems for MCP metric measure spaces. IF_PREPUB. 10 pages, 1 figure. 2017. 〈hal-01635434〉
  • Dario Prandi, Luca Rizzi, Marcello Seri. A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators. IF_PREPUB. Final version, to appear on Journal of Differential Geometry. 2017. 〈hal-01221668v3〉
  • Valentina Franceschi, Dario Prandi, Luca Rizzi. On the essential self-adjointness of sub-Laplacians. IF_PREPUB. 2017. 〈hal-01580186〉
  • Davide Barilari, Luca Rizzi. Sub-Riemannian interpolation inequalities: ideal structures. IF_PREPUB. 2017. 〈hal-01524541〉
  • Davide Barilari, Luca Rizzi. Sharp measure contraction property for generalized H-type Carnot groups. IF_PREPUB. 2017. 〈hal-01468967v2〉
  • Andrei Agrachev, Ugo Boscain, Robert Neel, Luca Rizzi. Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. 2016. 〈hal-01259762〉
  • Luca Rizzi, Pavel Silveira. Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds. 2015. 〈hal-01221661〉
  • Andrei Agrachev, Davide Barilari, Luca Rizzi. Curvature: a variational approach. 120 pages, 12 figures. 2014. 〈hal-00838195〉

Thèse1 document

  • Luca Rizzi. The curvature of optimal control problems with applications to sub-Riemannian geometry. Differential Geometry [math.DG]. Scuola Internazionale di Studi Superiori Avanzati (SISSA, Trieste, Italy), 2014. English. 〈tel-01122732〉