Gradient flows: in metric spaces and in the space of probability measures L Ambrosio, N Gigli, G Savaré Springer Science & Business Media, 2008 | 4810 | 2008 |
A user’s guide to optimal transport L Ambrosio, A Bressan, D Helbing, A Klar, E Zuazua, L Ambrosio, N Gigli Modelling and Optimisation of Flows on Networks: Cetraro, Italy 2009 …, 2013 | 637 | 2013 |
Metric measure spaces with Riemannian Ricci curvature bounded from below L Ambrosio, N Gigli, G Savaré | 560 | 2014 |
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below L Ambrosio, N Gigli, G Savaré Inventiones mathematicae 195 (2), 289-391, 2014 | 506 | 2014 |
On the differential structure of metric measure spaces and applications N Gigli American Mathematical Society 236 (1113), 2015 | 353 | 2015 |
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds L Ambrosio, N Gigli, G Savaré | 298 | 2015 |
Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure L Ambrosio, N Gigli, A Mondino, T Rajala Transactions of the American Mathematical Society 367 (7), 4661-4701, 2015 | 255 | 2015 |
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows N Gigli, A Mondino, G Savaré Proceedings of the London Mathematical Society 111 (5), 1071-1129, 2015 | 254 | 2015 |
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces L Ambrosio, N Gigli, G Savaré Revista Matemática Iberoamericana 29 (3), 969-996, 2013 | 250 | 2013 |
Nonsmooth differential geometry–an approach tailored for spaces with Ricci curvature bounded from below N Gigli American Mathematical Society 251 (1196), 2018 | 212 | 2018 |
Gradient flows in metric spaces and in the Wasserstein space of probability measures L Ambrosio, N Gigli, G Savare Lectures in Mathematics, ETH Zurich, Birkhäuser, 2005 | 207 | 2005 |
The splitting theorem in non-smooth context N Gigli arXiv preprint arXiv:1302.5555, 2013 | 173 | 2013 |
Heat flow on Alexandrov spaces N Gigli, K Kuwada, S Ohta Communications on Pure and Applied Mathematics 66 (3), 307-331, 2013 | 156 | 2013 |
Non-collapsed spaces with Ricci curvature bounded from below G De Philippis, N Gigli Journal de l’École polytechnique—Mathématiques 5, 613-650, 2018 | 131 | 2018 |
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions A Figalli, N Gigli Journal de mathématiques pures et appliquées 94 (2), 107-130, 2010 | 131 | 2010 |
Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below N Gigli, T Rajala, KT Sturm The Journal of geometric analysis 26, 2914-2929, 2016 | 100 | 2016 |
On the heat flow on metric measure spaces: existence, uniqueness and stability N Gigli Calculus of Variations and Partial Differential Equations 39 (1), 101-120, 2010 | 94 | 2010 |
Lectures on nonsmooth differential geometry N Gigli, E Pasqualetto Springer, 2020 | 92 | 2020 |
An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature N Gigli Analysis and Geometry in Metric Spaces 2 (1), 20141006, 2014 | 86* | 2014 |
From volume cone to metric cone in the nonsmooth setting G De Philippis, N Gigli Geometric and Functional Analysis 26 (6), 1526-1587, 2016 | 80 | 2016 |