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Giuseppe Savaré

Professor of Mathematical Analysis
Department of Decision Sciences, Bocconi University
Via Roentgen 1. 20136, Milano, Italy

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
  • Reaction-Diffusion Systems for the Cardiac Electric Field
  • Optimal error estimates for the approximation of evolution problems

news

- Workshop Variational Analysis, Models and Methods in Measure Spaces, April 29-May 3 2024, CIRM, Marseille.

activity

- Workshop Mathematics for Artificial Intelligence and Machine Learning, 17-19 January 2024, Bocconi University, Milano.
- In ricordo di Enrico Magenes, intervento al Workshop Boundary value problems and applications - The legacy of Enrico Magenes, November 2023, Pavia.
- Workshop Variational and Geometric Structures for Evolution, 9-13 October 2023, Levico Terme
The conference celebrated Alexander Mielke’s 65th birthday

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