Nombre de documents



Article dans une revue8 documents

  • 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>
  • 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>
  • 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>
  • 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>

Pré-publication, Document de travail8 documents

  • Davide Barilari, Luca Rizzi. Sharp measure contraction property for generalized H-type Carnot groups. IF_PREPUB. 2017. <hal-01468967>
  • 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>
  • Davide Barilari, Luca Rizzi. Sub-Riemannian interpolation inequalities: ideal structures. IF_PREPUB. 2017. <hal-01524541>
  • Davide Barilari, Luca Rizzi. On Jacobi fields and canonical connection in sub-Riemannian geometry. IF_PREPUB. Final version, to appear on Archivum Mathematicum. 2017. <hal-01160902v2>
  • Luca Rizzi, Ulysse Serres. On the cut locus of free, step two Carnot groups. IF_PREPUB. 13 pages. To appear on Proceedings of the AMS. 2017. <hal-01377408v2>
  • 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>