The globalization theorem for the curvature-dimension condition F Cavalletti, E Milman Inventiones mathematicae 226 (1), 1-137, 2021 | 181* | 2021 |
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds F Cavalletti, A Mondino Inventiones mathematicae 208, 803-849, 2017 | 168 | 2017 |
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds F Cavalletti, A Mondino Geometry & Topology 21 (1), 603-645, 2017 | 94 | 2017 |
The Monge problem for distance cost in geodesic spaces S Bianchini, F Cavalletti Communications in Mathematical Physics, 615-673, 2013 | 77 | 2013 |
Optimal maps in essentially non-branching spaces F Cavalletti, A Mondino Communications in Contemporary Mathematics 19 (06), 1750007, 2017 | 66 | 2017 |
Local curvature-dimension condition implies measure-contraction property F Cavalletti, KT Sturm Journal of Functional Analysis 262 (12), 5110-5127, 2012 | 65 | 2012 |
New formulas for the Laplacian of distance functions and applications F Cavalletti, A Mondino Analysis & PDE 13 (7), 2091-2147, 2020 | 58 | 2020 |
Monge problem in metric measure spaces with Riemannian curvature-dimension condition F Cavalletti Nonlinear Analysis: Theory, Methods & Applications 99, 136-151, 2014 | 58 | 2014 |
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications F Cavalletti, A Mondino arXiv preprint arXiv:2004.08934, 2020 | 57 | 2020 |
Existence and uniqueness of optimal transport maps F Cavalletti, M Huesmann Annales de l'IHP Analyse non linéaire 32 (6), 1367-1377, 2015 | 43 | 2015 |
A simple proof of global existence for the 1D pressureless gas dynamics equations F Cavalletti, M Sedjro, M Westdickenberg SIAM Journal on Mathematical Analysis 47 (1), 66-79, 2015 | 42 | 2015 |
Decomposition of geodesics in the Wasserstein space and the globalization problem F Cavalletti Geometric and Functional Analysis 24, 493-551, 2014 | 41 | 2014 |
Almost Euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds F Cavalletti, A Mondino International Mathematics Research Notices 2020 (5), 1481-1510, 2020 | 27 | 2020 |
Quantitative Isoperimetry à la Levy‐Gromov F Cavalletti, F Maggi, A Mondino Communications on Pure and Applied Mathematics 72 (8), 1631-1677, 2019 | 26 | 2019 |
The Monge problem in Wiener space F Cavalletti Calculus of Variations and Partial Differential Equations 45, 101-124, 2012 | 26 | 2012 |
A variational time discretization for compressible Euler equations F Cavalletti, M Sedjro, M Westdickenberg Transactions of the American Mathematical Society 371 (7), 5083-5155, 2019 | 19* | 2019 |
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds F Cavalletti, A Mondino Rendiconti Lincei 29 (3), 413-430, 2018 | 17 | 2018 |
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds F Cavalletti, A Mondino General Relativity and Gravitation 54 (11), 137, 2022 | 14 | 2022 |
Measure rigidity of Ricci curvature lower bounds F Cavalletti, A Mondino Advances in Mathematics 286, 430-480, 2016 | 14 | 2016 |
Isoperimetric inequality in noncompact 𝖬𝖢𝖯 spaces F Cavalletti, D Manini Proceedings of the American Mathematical Society 150 (8), 3537-3548, 2022 | 13 | 2022 |