Full Professor, Università di Milano Statale

Email: fabio.cavalletti AT unimi.it

Available papers (35):

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• F. Cavalletti - A. Mondino (Preprint)
  A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds (2024)
• F. Cavalletti - D. Manini - A. Mondino (preprint)
  Optimal transport on null hypersurfaces and the null energy condition (2024)
• F. Cavalletti - A. Mondino - D. Semola (Analysis & PDE)
  Quantitative Obata's Theorem (2023)
• F. Cavalletti - A. Mondino (General Relativity and Gravitation)
  A review of Lorentzian synthetic theory of timelike Ricci curvature bounds (2022)
• F. Cavalletti - P. Antonini (Preprint)
  Geometry of Grassmannians and optimal transport of quantum states (2021)
• F. Cavalletti - N. Gigli - F. Santarcangelo (Accepted Paper: Annales de la faculté des sciences de Toulouse)
  Displacement convexity of Entropy and the distance cost Optimal Transportation (2020)
• A. Akdemir - F. Cavalletti - A. Colinet - R. J. McCann - F. Santarcangelo (Accepted Paper: Trans. Amer. Math. Soc.)
  Independence of synthetic Curvature Dimension conditions on transport distance exponent (2020)
• F. Cavalletti - S. Farinelli (Accepted Paper: Advances Math)
  Indeterminacy estimates and the size of nodal sets in singular spaces (2020)
• F. Cavalletti - A. Mondino (Accepted Paper: Cambridge Journal of Mathematics)
  Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications (2020)
• F. Cavalletti - A. Mondino (Accepted Paper: Analysis and PDE)
  New formulas for the Laplacian of distance functions and applications (2018)
• F. Cavalletti - F. Santarcangelo (J. Funct. Anal.)
  Isoperimetric inequality under Measure-Contraction property (2018)
• F. Cavalletti - A. Mondino (Accepted Paper: Intern. Math. Res. Not.)
  Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds (2017)
• F. Cavalletti - F. Maggi - A. Mondino (Accepted Paper: Comm. Pure and Applied Math.)
  Quantitative isoperimetry à la Levy-Gromov (2017)
• F. Cavalletti - A. Mondino (Accepted Paper: Commun. Contemp. Math.)
  Optimal maps in essentially non-branching spaces (2016)
• F. Cavalletti - A. Mondino (accepted: Advances in Math.)
  Measure rigidity of Ricci curvature lower bounds (2016)
• F. Cavalletti (Preprint)
  An overview of L1 optimal transportation on metric measure spaces (2016)
• F. Cavalletti - A. Mondino (Accepted Paper: Rend. Lincei. Mat. Appl.)
  Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds (2016)
• F. Cavalletti - F. Maggi - A. Mondino (Math. Zeit)
  Rigidity for critical points in the Levy-Gromov inequality (2016)
• F. Cavalletti - E. Milman (Accepted Paper: Inventiones Math.)
  The Globalization Theorem for the Curvature Dimension Condition (2016)
• F. Cavalletti - A. Mondino (Geom. Topol.)
  Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds (2015)
• F. Cavalletti - T. Rajala (Accepted Paper: Anal. Geom. Metr. Spaces)
  Tangent lines and Lipschitz differentiability spaces (2015)
• F. Cavalletti - A. Mondino (Accepted Paper: Invent. Math. )
  Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds (2015)
• F. Cavalletti - M. Sedjro - M. Westdickenberg (Accepted Paper: Trans. AMS)
  A Variational Time Discretization for Compressible Euler Equations (2014)
• F. Cavalletti (Accepted Paper: GAFA)
  Decomposition of geodesics in the Wasserstein space and the globalization problem (2013)
• F. Cavalletti - M. Westdickenberg (Accepted Paper: Proc. AMS)
  The polar cone of the set of monontone maps (2013)
• F. Cavalletti (Accepted Paper: Proceedings of Edinburgh Math. Society)
  A note on a residual subset of Lispchitz functions on metric spaces (2013)
• F. Cavalletti - M. Huesmann (Bull. London Math. Soc. )
  Self-intersection of Optimal geodesics (2013)
• F. Cavalletti - M. Sedjro - M. Westdickenberg (Accepted Paper: SIAM J. Math. Anal.)
  A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations (2013)
• F. Cavalletti (Nonlinear Analysis)
  Monge problem in metric measure spaces with Riemannian Curvature-Dimension condition (2013)
• F. Cavalletti - M. Huesmann (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Existence and Uniqueness of optimal transport map (2013)
• F. Cavalletti - K. T. Sturm (Accepted Paper: J. Funct. Anal.)
  Local CD(K,N) implies MCP(K,N) (2012)
• F. Cavalletti (Accepted Paper: Calc. Var. Partial Differential Equations)
  The Monge problem in Wiener space (2011)
• F. Cavalletti (Accepted Paper: SIAM J. Math. Anal.)
  Optimal transport with branching distance cost and the obstacle problem (2011)
• S. Bianchini - F. Cavalletti (Accepted Paper: ``Nonlinear Conservation Laws and Applications", IMA Vol. Math. Appl., Springer, New York.)
  The Monge problem in geodesic spaces (2010)
• S. Bianchini - F. Cavalletti (Accepted Paper: Comm. Math. Phys.)
  The Monge Problem For Distance Cost In Geodesic Spaces (2009)

Speaker:

• 15 dec 2019 - 18 dec 2019: Junior Math Days 2019
• 1 apr 2019 - 5 apr 2019: Optimal Transport and Geometric Analysis
• 12 nov 2018 - 16 nov 2018: Optimal Transport and Applications

Organizer:

• 23 sep 2024 - 1 oct 2024: School and Conference on Metric Measure Spaces, Ricci Curvature, and Optimal Transport
• 23 feb 2015 - 27 feb 2015: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis