S. Bianchini, F. Cavalletti: The Monge Problem For Distance Cost In Geodesic Spaces Comm. Math. Phys. (Accepted Paper) 2009 S. Bianchini, F. Cavalletti: The Monge problem in geodesic spaces ``Nonlinear Conservation Laws and Applications", IMA Vol. Math. Appl., Springer, New York. (Accepted Paper) 2010 F. Cavalletti: The Monge problem in Wiener space Calc. Var. Partial Differential Equations (Accepted Paper) 2011 F. Cavalletti: Optimal transport with branching distance cost and the obstacle problem SIAM J. Math. Anal. (Accepted Paper) 2011 F. Cavalletti, K. T. Sturm: Local CD(K,N) implies MCP(K,N) J. Funct. Anal. (Accepted Paper) 2012 F. Cavalletti: Decomposition of geodesics in the Wasserstein space and the globalization problem GAFA (Accepted Paper) p. 39, 2013 F. Cavalletti, M. Westdickenberg: The polar cone of the set of monontone maps Proc. AMS (Accepted Paper) 2013 F. Cavalletti: A note on a residual subset of Lispchitz functions on metric spaces Proceedings of Edinburgh Math. Society (Accepted Paper) 2013 F. Cavalletti, M. Sedjro, M. Westdickenberg: A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations SIAM J. Math. Anal. (Accepted Paper) 2013 F. Cavalletti: Monge problem in metric measure spaces with Riemannian Curvature-Dimension condition Nonlinear Analysis 2013 F. Cavalletti, M. Huesmann: Existence and Uniqueness of optimal transport map Ann. Inst. H. Poincar� Anal. Non Lin�aire (Accepted Paper) 2013 F. Cavalletti, M. Huesmann: Self-intersection of Optimal geodesics Bull. London Math. Soc. 2013 F. Cavalletti, M. Sedjro, M. Westdickenberg: A Variational Time Discretization for Compressible Euler Equations Trans. AMS (Accepted Paper) 2014 F. Cavalletti, A. Mondino: Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds Geom. Topol. () 2015 F. Cavalletti, T. Rajala: Tangent lines and Lipschitz differentiability spaces Anal. Geom. Metr. Spaces (Accepted Paper) 2015 F. Cavalletti, A. Mondino: Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds Invent. Math. (Accepted Paper) 2015 F. Cavalletti, A. Mondino: Optimal maps in essentially non-branching spaces Commun. Contemp. Math. (Accepted Paper) 2016 F. Cavalletti: An overview of L1 optimal transportation on metric measure spaces (Preprint) 2016 F. Cavalletti, A. Mondino: Measure rigidity of Ricci curvature lower bounds Advances in Math. (accepted) Vol. 286, 2016 F. Cavalletti, A. Mondino: Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds Rend. Lincei. Mat. Appl. (Accepted Paper) 2016 F. Cavalletti, F. Maggi, A. Mondino: Rigidity for critical points in the Levy-Gromov inequality Math. Zeit p. 5, 2016 F. Cavalletti, E. Milman: The Globalization Theorem for the Curvature Dimension Condition Inventiones Math. (Accepted Paper) 2016 F. Cavalletti, A. Mondino: Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds Intern. Math. Res. Not. (Accepted Paper) 2017 F. Cavalletti, F. Maggi, A. Mondino: Quantitative isoperimetry � la Levy-Gromov Comm. Pure and Applied Math. (Accepted Paper) 2017 F. Cavalletti, F. Santarcangelo: Isoperimetric inequality under Measure-Contraction property J. Funct. Anal. 2018 F. Cavalletti, A. Mondino: New formulas for the Laplacian of distance functions and applications Analysis and PDE (Accepted Paper) 2018 F. Cavalletti, N. Gigli, F. Santarcangelo: Displacement convexity of Entropy and the distance cost Optimal Transportation Annales de la facult� des sciences de Toulouse (Accepted Paper) 2020 A. Akdemir, F. Cavalletti, A. Colinet, R. J. McCann, F. Santarcangelo: Independence of synthetic Curvature Dimension conditions on transport distance exponent Trans. Amer. Math. Soc. (Accepted Paper) 2020 F. Cavalletti, S. Farinelli: Indeterminacy estimates and the size of nodal sets in singular spaces Advances Math (Accepted Paper) 2020 F. Cavalletti, A. Mondino: Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications Cambridge Journal of Mathematics (Accepted Paper) 2020 P. Antonini, F. Cavalletti: Geometry of Grassmannians and optimal transport of quantum states (Preprint) 2021 F. Cavalletti, A. Mondino: A review of Lorentzian synthetic theory of timelike Ricci curvature bounds General Relativity and Gravitation 2022 F. Cavalletti, A. Mondino, D. Semola: Quantitative Obata's Theorem Analysis & PDE Vol. 16, N. 6, p. 13891431, 2023 F. Cavalletti, D. Manini, A. Mondino: Optimal transport on null hypersurfaces and the null energy condition (preprint) http://arxiv.org/abs/2408.08986 2024 F. Cavalletti, A. Mondino: A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds (Preprint) 2025