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Nicola Gigli
Nicola Gigli
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Title
Cited by
Cited by
Year
Gradient flows: in metric spaces and in the space of probability measures
L Ambrosio, N Gigli, G Savaré
Springer Science & Business Media, 2008
48742008
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
6442013
Metric measure spaces with Riemannian Ricci curvature bounded from below
L Ambrosio, N Gigli, G Savaré
5672014
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
5152014
On the differential structure of metric measure spaces and applications
N Gigli
American Mathematical Society 236 (1113), 2015
3602015
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds
L Ambrosio, N Gigli, G Savaré
3002015
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
2602015
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
2562015
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
2522013
Nonsmooth differential geometry–an approach tailored for spaces with Ricci curvature bounded from below
N Gigli
American Mathematical Society 251 (1196), 2018
2182018
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
2092005
The splitting theorem in non-smooth context
N Gigli
arXiv preprint arXiv:1302.5555, 2013
1782013
Heat flow on Alexandrov spaces
N Gigli, K Kuwada, S Ohta
Communications on Pure and Applied Mathematics 66 (3), 307-331, 2013
1582013
Non-collapsed spaces with Ricci curvature bounded from below
G De Philippis, N Gigli
Journal de l’École polytechnique—Mathématiques 5, 613-650, 2018
1392018
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
1322010
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
1002016
Lectures on nonsmooth differential geometry
N Gigli, E Pasqualetto
Springer, 2020
952020
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
952010
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
89*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
842016
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