The globalization theorem for the curvature dimension condition F Cavalletti, E Milman arXiv preprint arXiv:1612.07623, 2016 | 136* | 2016 |
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds F Cavalletti, A Mondino Inventiones mathematicae 208, 803-849, 2017 | 123 | 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 | 77 | 2017 |
The Monge problem for distance cost in geodesic spaces S Bianchini, F Cavalletti Communications in Mathematical Physics, 615-673, 2013 | 67 | 2013 |
Local curvature-dimension condition implies measure-contraction property F Cavalletti, KT Sturm Journal of Functional Analysis 262 (12), 5110-5127, 2012 | 60 | 2012 |
Optimal maps in essentially non-branching spaces F Cavalletti, A Mondino Communications in Contemporary Mathematics 19 (06), 1750007, 2017 | 54 | 2017 |
Monge problem in metric measure spaces with Riemannian curvature-dimension condition F Cavalletti Nonlinear Analysis: Theory, Methods & Applications 99, 136-151, 2014 | 46 | 2014 |
New formulas for the Laplacian of distance functions and applications F Cavalletti, A Mondino Analysis & PDE 13 (7), 2091-2147, 2020 | 42 | 2020 |
Decomposition of geodesics in the Wasserstein space and the globalization problem F Cavalletti Geometric and Functional Analysis 24, 493-551, 2014 | 38 | 2014 |
Existence and uniqueness of optimal transport maps F Cavalletti, M Huesmann Annales de l'Institut Henri Poincaré C 32 (6), 1367-1377, 2015 | 34 | 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 | 33 | 2015 |
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications F Cavalletti, A Mondino arXiv preprint arXiv:2004.08934, 2020 | 32 | 2020 |
The Monge problem in Wiener space F Cavalletti Calculus of Variations and Partial Differential Equations 45, 101-124, 2012 | 24 | 2012 |
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 | 22 | 2020 |
Quantitative Isoperimetry à la Levy‐Gromov F Cavalletti, F Maggi, A Mondino Communications on Pure and Applied Mathematics 72 (8), 1631-1677, 2019 | 19 | 2019 |
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 | 18* | 2019 |
Measure rigidity of Ricci curvature lower bounds F Cavalletti, A Mondino Advances in Mathematics 286, 430-480, 2016 | 13 | 2016 |
An overview of L1 optimal transportation on metric measure spaces F Cavalletti arXiv preprint arXiv:1809.04859, 2018 | 12 | 2018 |
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds F Cavalletti, A Mondino Rendiconti Lincei 29 (3), 413-430, 2018 | 12 | 2018 |
Independence of synthetic curvature dimension conditions on transport distance exponent A Akdemir, A Colinet, R McCann, F Cavalletti, F Santarcangelo Transactions of the American Mathematical Society 374 (08), 5877-5923, 2021 | 11 | 2021 |