Luca Rizzi

Publications

Article dans une revue (26)

Weyl’s law for singular Riemannian manifolds Yacine Chitour,Dario Prandi,Luca Rizzi Journal de Mathématiques Pures et Appliquées, 2024, 181, pp.113-151. ⟨10.1016/j.matpur.2023.10.004⟩ Article dans une revue hal-01902740v5
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries Luca Rizzi,Giorgio Stefani Journal of Functional Analysis, 2023, 285 (9), pp.110099. ⟨10.1016/j.jfa.2023.110099⟩ Article dans une revue hal-03921243v1
Heat content asymptotics for sub-Riemannian manifolds Luca Rizzi,Tommaso Rossi Journal de Mathématiques Pures et Appliquées, 2021, 9 (148), pp.267--307. ⟨10.1016/j.matpur.2020.12.004⟩ Article dans une revue hal-02563090v1
Branching geodesics in sub-Riemannian geometry Thomas Mietton,Luca Rizzi Geometric And Functional Analysis, 2020, 30, pp.1139 - 1151. ⟨10.1007/s00039-020-00539-z⟩ Article dans une revue hal-02493682v2
Bakry-Émery curvature and model spaces in sub-Riemannian geometry Davide Barilari,Luca Rizzi Mathematische Annalen, 2020, 377 (1-2), pp.435-482. ⟨10.1007/s00208-020-01982-x⟩ Article dans une revue hal-02163180v1
On the Essential Self-Adjointness of Singular Sub-Laplacians Valentina Franceschi,Dario Prandi,Luca Rizzi Potential Analysis, 2019, 53, pp.89-112. ⟨10.1007/s11118-018-09760-w⟩ Article dans une revue hal-01981861v1
An introduction to Sub-Laplacians and their self-adjointness properties Luca Rizzi Oberwolfach Reports, 2019, 16 (4), pp.2911-2950. ⟨10.4171/OWR/2019/47⟩ Article dans une revue hal-02994095v1
A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators Dario Prandi,Luca Rizzi,Marcello Seri Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩ Article dans une revue hal-01221668v3
Curvature: a variational approach Andrei Agrachev,Davide Barilari,Luca Rizzi Memoirs of the American Mathematical Society, 2019, 256 (1225), ⟨10.1090/memo/1225⟩ Article dans une revue hal-00838195v1
Sub-Riemannian interpolation inequalities Davide Barilari,Luca Rizzi Inventiones Mathematicae, 2019, 215 (3), pp.977-1038. ⟨10.1007/s00222-018-0840-y⟩ Article dans une revue hal-01524541v1
Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds Luca Rizzi,Pavel Silveira Journal of the Institute of Mathematics of Jussieu, 2019, 18 (4), pp.783-827. ⟨10.1017/S1474748017000226⟩ Article dans une revue hal-01221661v1
A counterexample to gluing theorems for MCP metric measure spaces Luca Rizzi Bulletin of the London Mathematical Society, 2018, 50 (5), pp.781-790. ⟨10.1112/blms.12186⟩ Article dans une revue hal-01635434v1
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling Andrei Agrachev,Ugo Boscain,Robert Neel,Luca Rizzi ESAIM: Control, Optimisation and Calculus of Variations, inPress, 24 (3), pp.1075-1105. ⟨10.1051/cocv/2017037⟩ Article dans une revue hal-01259762v1
Quantum confinement on non-complete Riemannian manifolds Dario Prandi,Marcello Seri,Luca Rizzi Journal of Spectral Theory, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩ Article dans une revue hal-01362030v2
Sharp measure contraction property for generalized H-type Carnot groups Davide Barilari,Luca Rizzi Communications in Contemporary Mathematics, 2018, 20 (6), ⟨10.1142/S021919971750081X⟩ Article dans une revue hal-01468967v2
On the cut locus of free, step two Carnot groups Luca Rizzi,Ulysse Serres Proceedings of the American Mathematical Society, 2017, 145, pp.5341-5357. ⟨10.1090/proc/13658⟩ Article dans une revue hal-01377408v2
How many geodesics join two points on a contact sub-Riemannian manifold? Antonio Lerario,Luca Rizzi Journal of Symplectic Geometry, 2017, ⟨10.4310/JSG.2017.v15.n1.a7⟩ Article dans une revue hal-01096718v1
On Jacobi fields and canonical connection in sub-Riemannian geometry Davide Barilari,Luca Rizzi Archivum Mathematicum, 2017, 53 (2), pp.77-92. ⟨10.5817/AM2017-2-77⟩ Article dans une revue hal-01160902v2
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry Ugo Boscain,Robert Neel,Luca Rizzi Advances in Mathematics, 2017, ⟨10.1016/j.aim.2017.04.024⟩ Article dans une revue hal-01122735v2
Sub-Riemannian curvature in contact geometry Andrei Agrachev,Davide Barilari,Luca Rizzi The Journal of Geometric Analysis, 2016, ⟨10.1007/s12220-016-9684-0⟩ Article dans une revue hal-01160901v3
Comparison theorems for conjugate points in sub-Riemannian geometry D. Barilari,L. Rizzi ESAIM: Control, Optimisation and Calculus of Variations, 2016, 22 (2), ⟨10.1051/cocv/2015013⟩ Article dans une revue hal-00931840v1
Measure contraction properties of Carnot groups Luca Rizzi Calculus of Variations and Partial Differential Equations, 2016, ⟨10.1007/s00526-016-1002-y⟩ Article dans une revue hal-01218376v3
On conjugate times of LQ optimal control problems Andrei Agrachev,Luca Rizzi,Pavel Silveira Journal of Dynamical and Control Systems, 2014, 21 (4), pp.625-641. ⟨10.1007/s10883-014-9251-6⟩ Article dans une revue hal-01096715v1
A Formula for Popp’s Volume in Sub-Riemannian Geometry Davide Barilari,Luca Rizzi Analysis and Geometry in Metric Spaces, 2013, 1, ⟨10.2478/agms-2012-0004⟩ Article dans une revue hal-00751222v1
The step-harmonic potential Luca Rizzi,Oliver Piattella,Sergio Cacciatori,Vittorio Gorini American Journal of Physics, 2010, pp.19. ⟨10.1119/1.3379290⟩ Article dans une revue hal-01122823v1
Our Peculiar Motion Away from the Local Void R. Brent Tully,Edward J. Shaya,Igor D. Karachentsev,Hélène M. Courtois,Dale D. Kocevskiet al. The Astrophysical Journal, 2008, 676, pp.184-205. ⟨10.1086/527428⟩ Article dans une revue hal-00416760v1

Pré-publication, Document de travail (4)

Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups Tania Bossio,Luca Rizzi,Tommaso Rossi 2026 Pré-publication, Document de travail hal-05429285v1
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures Davide Barilari,Andrea Mondino,Luca Rizzi 2022 Pré-publication, Document de travail hal-03856993v1
Comparison theorems on H-type sub-Riemannian manifolds Fabrice Baudoin,Erlend Grong,Gianmarco Molino,Luca Rizzi 2019 Pré-publication, Document de travail hal-02282474v1
H-type foliations Fabrice Baudoin,Erlend Grong,Gianmarco Molino,Luca Rizzi 2018 Pré-publication, Document de travail hal-01947678v1

Thèse (1)

The curvature of optimal control problems with applications to sub-Riemannian geometry Luca Rizzi Differential Geometry [math.DG]. Scuola Internazionale di Studi Superiori Avanzati (SISSA, Trieste, Italy), 2014. English. ⟨NNT : ⟩ Thèse tel-01122732v1

HDR (1)

Interpolation inequalities and spectral geometry on sub-Riemannian structures Luca Rizzi Optimization and Control [math.OC]. Université Grenoble - Alpes, 2021 HDR tel-03282295v1