Follow
Fabio Cavalletti
Fabio Cavalletti
Verified email at sissa.it
Title
Cited by
Cited by
Year
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
1682017
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
942017
The Monge problem for distance cost in geodesic spaces
S Bianchini, F Cavalletti
Communications in Mathematical Physics, 615-673, 2013
772013
Optimal maps in essentially non-branching spaces
F Cavalletti, A Mondino
Communications in Contemporary Mathematics 19 (06), 1750007, 2017
662017
Local curvature-dimension condition implies measure-contraction property
F Cavalletti, KT Sturm
Journal of Functional Analysis 262 (12), 5110-5127, 2012
652012
New formulas for the Laplacian of distance functions and applications
F Cavalletti, A Mondino
Analysis & PDE 13 (7), 2091-2147, 2020
582020
Monge problem in metric measure spaces with Riemannian curvature-dimension condition
F Cavalletti
Nonlinear Analysis: Theory, Methods & Applications 99, 136-151, 2014
582014
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
F Cavalletti, A Mondino
arXiv preprint arXiv:2004.08934, 2020
572020
Existence and uniqueness of optimal transport maps
F Cavalletti, M Huesmann
Annales de l'IHP Analyse non linéaire 32 (6), 1367-1377, 2015
432015
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
422015
Decomposition of geodesics in the Wasserstein space and the globalization problem
F Cavalletti
Geometric and Functional Analysis 24, 493-551, 2014
412014
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
272020
Quantitative Isoperimetry à la Levy‐Gromov
F Cavalletti, F Maggi, A Mondino
Communications on Pure and Applied Mathematics 72 (8), 1631-1677, 2019
262019
The Monge problem in Wiener space
F Cavalletti
Calculus of Variations and Partial Differential Equations 45, 101-124, 2012
262012
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
172018
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
F Cavalletti, A Mondino
General Relativity and Gravitation 54 (11), 137, 2022
142022
Measure rigidity of Ricci curvature lower bounds
F Cavalletti, A Mondino
Advances in Mathematics 286, 430-480, 2016
142016
Isoperimetric inequality in noncompact 𝖬𝖢𝖯 spaces
F Cavalletti, D Manini
Proceedings of the American Mathematical Society 150 (8), 3537-3548, 2022
132022
The system can't perform the operation now. Try again later.
Articles 1–20