Gradient flows: in metric spaces and in the space of probability measures L Ambrosio, N Gigli, G Savaré
Springer Science & Business Media, 2005
3878 2005 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
498 2013 Metric measure spaces with Riemannian Ricci curvature bounded from below L Ambrosio, N Gigli, G Savaré
469 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
431 2014 On the differential structure of metric measure spaces and applications N Gigli
American Mathematical Society 236 (1113), 2015
291 2015 Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds L Ambrosio, N Gigli, G Savaré
251 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
229 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
198 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
196 2013 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
195 2005 Nonsmooth differential geometry–An approach tailored for spaces with Ricci curvature bounded from below N Gigli
American Mathematical Society 251 (1196), 2018
194 2018 Heat flow on Alexandrov spaces N Gigli, K Kuwada, S Ohta
Communications on Pure and Applied Mathematics 66 (3), 307-331, 2013
140 2013 The splitting theorem in non-smooth context N Gigli
arXiv preprint arXiv:1302.5555, 2013
136 2013 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
96 2010 Non-collapsed spaces with Ricci curvature bounded from below G De Philippis, N Gigli
Journal de l’École polytechnique—Mathématiques 5, 613-650, 2018
90 2018 On the heat flow on metric measure spaces: existence, uniqueness and stability N Gigli
Calculus of Variations and Partial Differential Equations 39 (1-2), 101-120, 2010
83 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
81 2016 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), 2014
67 * 2014 On the inverse implication of Brenier-Mccann theorems and the structure of (P2 (M),W2 ) N Gigli
Methods and Applications of Analysis 18 (2), 127-158, 2011
62 2011 Behaviour of the reference measure on N Gigli, E Pasqualetto
arXiv preprint arXiv:1607.05188, 2016
57 2016 