Nicola Gigli

Overview

Best Publications

• Gradient Flows: In Metric Spaces and in the Space of Probability Measures

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  3883
  Citations

• Metric measure spaces with Riemannian Ricci curvature bounded from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  643
  Citations

• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  589
  Citations

• A User’s Guide to Optimal Transport

  Luigi Ambrosio;Nicola Gigli

  517
  Citations

• Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  315
  Citations

• On the Differential Structure of Metric Measure Spaces and Applications

  Nicola Gigli

  312
  Citations

• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces.

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  264
  Citations

• Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure

  Luigi Ambrosio;Nicola Gigli;Andrea Mondino;Tapio Rajala

  263
  Citations

• Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

  Nicola Gigli;Andrea Mondino;Giuseppe Savaré

  253
  Citations

• The splitting theorem in non-smooth context

  Nicola Gigli

  219
  Citations

• Metric measure spaces with Riemannian Ricci curvature bounded from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  192
  Citations

• Nonsmooth Differential Geometry: An Approach Tailored for Spaces With Ricci Curvature Bounded from Below

  Nicola Gigli

  189
  Citations

• Heat flow on Alexandrov spaces

  Nicola Gigli;Kazumasa Kuwada;Shin Ichi Ohta

  145
  Citations

• Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure

  Luigi Ambrosio;Nicola Gigli;Andrea Mondino;Tapio Rajala

  144
  Citations

• Non-collapsed spaces with Ricci curvature bounded from below

  Guido De Philippis;Nicola Gigli

  111
  Citations

• A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

  Alessio Figalli;Nicola Gigli

  107
  Citations

• An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature

  Nicola Gigli

  105
  Citations

• On the heat flow on metric measure spaces: existence, uniqueness and stability

  Nicola Gigli

  95
  Citations

• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  90
  Citations

• Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

  Nicola Gigli;Nicola Gigli;Tapio Rajala;Karl-Theodor Sturm

  89
  Citations

• Bakry-'Emery curvature-dimension condition and Riemannian Ricci curvature bounds

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  83
  Citations

• From volume cone to metric cone in the nonsmooth setting

  Guido De Philippis;Nicola Gigli

  72
  Citations

• Lectures on Nonsmooth Differential Geometry

  Nicola Gigli;Enrico Pasqualetto

  71
  Citations

• On the inverse implication of Brenier-Mccann theorems and the structure of (P 2 (M),W 2 )

  Nicola Gigli

  70
  Citations

• OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

  Nicola Gigli

  64
  Citations

• Gradient flows with metric and differentiable structures, and applications to the Wasserstein space

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  58
  Citations

• Second order differentiation formula on RCD*$(K,N)$ spaces

  Nicola Gigli;Luca Tamanini

  57
  Citations

• The continuity equation on metric measure spaces

  Nicola Gigli;Bang-Xian Han

  56
  Citations

• Independence on p of weak upper gradients on RCD spaces

  Nicola Gigli;Bang-Xian Han

  52
  Citations

• Measure Theory in Non-Smooth Spaces

  Unknown

  49
  Citations

• Behaviour of the reference measure on $\sf RCD$ spaces under charts

  Nicola Gigli;Enrico Pasqualetto

  30
  Citations