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Giuseppe Savaré

Professor of Mathematical Analysis
Department of Decision Sciences, Bocconi University
Via Roentgen 1. 20136, Milano, Italy
Analysis and Applied Mathematics research group at Bocconi University

research

  • Optimal Transport and entropic distances between nonnegative measures
  • Gradient flows, rate-independent problems, and application to evolution PDE's
  • Analysis in metric-measure spaces: calculus, Heat flow, optimal transport, non-smooth Riemannian geometry
  • Variational metohds for Partial Differential Equations

news

- The ERC project OPTiMiSE, Optimal Transport and Metric Structures for Evolution Problems, will start on January 1, 2026

activity

- Modelli matematici del cuore e applicazioni cardiache, in memoria di Piero Colli Franzone. 12 novembre 2025, Istituto Lombardo
- International School Mathematical Analysis and Applications, June 9-13 2025, Lake Como School of Advanced Studies, Villa del Grumello, Como
- Workshop Variational Methods and Non-Smooth Geometric Structures with Applications, June 3-5 2025, Bocconi University, Milan
- Mathematics Colloquium of Milano - Breakthroughs and Perspectives: inaugural cycle, 2025
- Workshop Variational Analysis, Models and Methods in Measure Spaces, April 29-May 3 2024, CIRM, Marseille.

selected publications

2019

  1. Nonlinear diffusion equations and curvature conditions in metric measure spaces
    Luigi Ambrosio, Andrea Mondino, and Giuseppe Savaré
    Mem. Amer. Math. Soc., 2019
    arXiv doi

2018

  1. Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
    Matthias Liero, Alexander Mielke, and Giuseppe Savaré
    Invent. Math., 2018
    doi

2017

  1. Diffusion, optimal transport and Ricci curvature for metric measure spaces
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Eur. Math. Soc. Newsl., 2017
    doi

2015

  1. Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Ann. Probab., 2015
    arXiv doi

2014

  1. Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    Invent. Math., 2014
    arXiv doi

2008

  1. Gradient flows in metric spaces and in the space of probability measures
    Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré
    2008