Associate Professor, SISSA

Email: luca.rizzi AT sissa.it

Research interests: Sub-Riemannian Geometry, Geometric Control Theory, Optimal Control, Optimal transport, Spectral Geometry

Home-page: https://sites.google.com/view/rizziluca/

arxiv id: rizzi_l_1

orcid id: 0000-0002-6497-6155

Available papers (32):

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• D. Barilari - A. Mondino - L. Rizzi (Accepted Paper: Memoirs of the AMS)
  Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures (2024)
• Andrei A. Agrachev - S. Baranzini - E. Bellini - L. Rizzi (preprint)
  Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach (2024)
• A. Lerario - L. Rizzi - D. Tiberio (preprint)
  Sard properties for polynomial maps in infinite dimension (2024)
• T. Bossio - L. Rizzi - T. Rossi (preprint)
  Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups (2024)
• A. Agrachev - L. Rizzi - T. Rossi (Analysis & PDE)
  Relative heat content asymptotics for sub-Riemannian manifolds (2024)
• A. Lerario - L. Rizzi - D. Tiberio (Math. Ann.)
  Quantitative approximate definable choices (2024)
• L. Rizzi - G. Stefani (J. Funct. Anal.)
  Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries (2023)
• F. Baudoin - E. Grong - G. Molino - L. Rizzi (Differential Geometry and its Applications)
  H-type foliations (2022)
• L. Rizzi - T. Rossi (J. Math. Pures Appl.)
  Heat content asymptotics for sub-Riemannian manifolds (2021)
• D. Barilari - L. Rizzi (Mathematische Annalen)
  Bakry-Émery curvature and model spaces in sub-Riemannian geometry (2020)
• V. Franceschi - D. Prandi - L. Rizzi (Potential Anal.)
  On the essential self-adjointness of singular sub-Laplacians (2020)
• T. Mietton - L. Rizzi (Geom. Funct. Anal.)
  Branching geodesics in sub-Riemannian geometry (2020)
• F. Baudoin - E. Grong - L. Rizzi - V. M. Sylvie (Accepted Paper: Calc. Var. Partial Differential Equations)
  Comparison theorems on H-type sub-Riemannian manifolds (2019)
• Y. Chitour - D. Prandi - L. Rizzi (J. Math. Pures Appl.)
  Weyl's law for singular Riemannian manifolds (2019)
• A. Agrachev - D. Barilari - L. Rizzi (Memoirs of the AMS)
  Curvature: a variational approach (2018)
• D. Barilari - L. Rizzi (Inventiones Mathematicae)
  Sub-Riemannian interpolation inequalities (2018)
• D. Prandi - L. Rizzi - M. Seri (Journal of Spectral Theory)
  Quantum confinement on non-complete Riemannian manifolds (2018)
• A. Lerario - L. Rizzi (Journal of symplectic geometry)
  How many geodesics join two points on a contact sub-Riemannian manifold? (2017)
• D. Barilari - L. Rizzi (Archivum Mathematicum)
  On Jacobi fields and a canonical connection in sub-Riemannian geometry (2017)
• U. Boscain - R. Neel - L. Rizzi (Adv. Math.)
  Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry (2017)
• L. Rizzi - U. Serres (Proceedings of the AMS)
  On the cut locus of free, step two Carnot groups (2017)
• L. Rizzi (Bulletin of the London Mathematical Society)
  A counterexample to gluing theorems for MCP metric measure spaces (2017)
• D. Barilari - L. Rizzi (Communications in Contemporary Mathematics)
  Sharp measure contraction property for generalized H-type Carnot groups (2017)
• L. Rizzi (Calculus of Variations and PDEs)
  Measure contraction properties of Carnot groups (2016)
• A. Agrachev - U. Boscain - R. Neel - L. Rizzi (ESAIM: COCV)
  Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling (2016)
• V. Franceschi - D. Prandi - L. Rizzi (Proceedings: Séminaire de Théorie spectrale et géométrie (Grenoble))
  Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points (2016)
• A. Agrachev - D. Barilari - L. Rizzi (Journal of Geometric Analysis)
  Sub-Riemannian curvature in contact geometry (2015)
• L. Rizzi - P. Silveira (Journal of the Institute of Mathematics of Jussieu)
  Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds (2015)
• D. Prandi - L. Rizzi - M. Seri (Journal of Differential Geometry)
  A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators (2015)
• D. Barilari - L. Rizzi (Control, Optimisation and Calculus of Variations)
  Comparison theorems for conjugate points in sub-Riemannian geometry (2014)
• D. Barilari - L. Rizzi (Analysis and Geometry in Metric Spaces)
  A formula for Popp's volume in sub-Riemannian geometry (2013)
• A. Agrachev - L. Rizzi - P. Silveira (Journal of Dynamical and Control Systems)
  On conjugate times of LQ optimal control problems (2013)

Speaker:

• 16 jun 2025 - 18 jun 2025: Three days in Sub-Riemannian geometry
• 12 sep 2024 - 13 sep 2024: DIFFERENTIAL EVOLUTIVE PROBLEMS IN SPACES WITH SINGULARITIES
• 6 sep 2021 - 7 sep 2021: PaPa - Padua Paris sub-Riemannian seminar
• 11 jan 2019 - 11 jan 2019: A Geometry Day in Como
• 19 feb 2018 - 23 feb 2018: Subriemannian geometry and beyond

Organizer:

• 27 mar 2023 - 31 mar 2023: Geometry and Control in Cortona
• 20 jul 2022 - 22 jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2022
• 7 sep 2020 - 11 sep 2020: SRGI conference: Sub-Riemannian Geometry and Interactions
• 18 feb 2019 - 22 feb 2019: Sub-Riemannian Geometry and Beyond. II
• 16 oct 2018 - 17 oct 2018: Sub-Riemannian days 2018
• 17 oct 2017 - 18 oct 2017: Sub-Riemannian days 2017