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