Gradient flows: in metric spaces and in the space of probability measures L Ambrosio, N Gigli, G Savaré Springer Science & Business Media, 2005 | 4113 | 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 | 528 | 2013 |

Metric measure spaces with Riemannian Ricci curvature bounded from below L Ambrosio, N Gigli, G Savaré | 494 | 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 | 452 | 2014 |

On the differential structure of metric measure spaces and applications N Gigli American Mathematical Society 236 (1113), 2015 | 315 | 2015 |

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds L Ambrosio, N Gigli, G Savaré | 270 | 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 | 238 | 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 | 218 | 2013 |

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 | 208 | 2015 |

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 | 196 | 2005 |

Nonsmooth differential geometry–an approach tailored for spaces with Ricci curvature bounded from below N Gigli American Mathematical Society 251 (1196), 2018 | 169 | 2018 |

Heat flow on Alexandrov spaces N Gigli, K Kuwada, S Ohta Communications on Pure and Applied Mathematics 66 (3), 307-331, 2013 | 147 | 2013 |

The splitting theorem in non-smooth context N Gigli arXiv preprint arXiv:1302.5555, 2013 | 144 | 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 | 104 | 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 | 101 | 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 | 86 | 2016 |

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 | 84 | 2010 |

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 | 71* | 2014 |

Lectures on nonsmooth differential geometry N Gigli, E Pasqualetto Springer, 2020 | 66 | 2020 |

On the inverse implication of Brenier-Mccann theorems and the structure of (P_{2}(M),W_{2})N Gigli Methods and Applications of Analysis 18 (2), 127-158, 2011 | 64 | 2011 |