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Giuseppe Savaré

Giuseppe Savaré

D-Index & Metrics

Mathematics

D-Index
46
Citations
12044
World Ranking
1328
National Ranking
32

Overview

Giuseppe Savaré is affiliated with Bocconi University in Italy and has a primary focus on mathematics, with 71 publications in the field. Their research spans applied mathematics, computational theory and mathematics, geometry and topology, mathematical physics, and artificial intelligence.

The scientist's work frequently covers topics including geometric analysis and curvature flows, nonlinear partial differential equations, geometry and complex manifolds, point processes and geometric inequalities, optimization and variational analysis, advanced mathematical modeling in engineering, and mathematical dynamics and fractals.

Publication venues where Giuseppe Savaré has contributed include:

  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - S
  • Journal of Differential Equations
  • Institutional Research Information System (Università degli Studi di Brescia)
  • Management Science

Recent papers authored or co-authored by Savaré include:

  • Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: Equivalence and Gamma-convergence, 2022, Journal of Differential Equations
  • Jump processes as generalized gradient flows, 2022, Institutional Research Information System (Università degli Studi di Brescia)
  • Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces, 2022, Probability Theory and Related Fields
  • Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces, 2023, Journal of Functional Analysis
  • Global Sensitivity Analysis via Optimal Transport, 2024, Management Science

Frequent collaborators in their research include Giacomo Enrico Sodini, Giulia Cavagnari, Riccarda Rossi, Massimo Fornasier, and Stefano Lisini, with co-authorship counts ranging from 2 to 9 publications.

In addition to journal articles, Giuseppe Savaré has contributed to book publications, notably with Springer Nature. One such publication is New Trends on Analysis and Geometry in Metric Spaces, released in 2022.

Best Publications

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

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Metric measure spaces with Riemannian Ricci curvature bounded from below

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

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

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures

    Matthias Liero;Alexander Mielke;Giuseppe Savaré

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

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Regularity Results for Elliptic Equations in Lipschitz Domains

    Giuseppe Savaré

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

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

    Luigi Ambrosio;Andrea Mondino;Giuseppe Savaré

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

    Nicola Gigli;Andrea Mondino;Giuseppe Savaré

  • A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations †

    Ricardo H. Nochetto;Giuseppe Savaré;Claudio Verdi

  • Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level

    Piero Colli Franzone;Giuseppe Savaré

  • A new class of transport distances between measures

    Jean Dolbeault;Bruno Nazaret;Giuseppe Savaré

  • The Wasserstein Gradient Flow of the Fisher Information and the Quantum Drift-diffusion Equation

    Ugo Gianazza;Giuseppe Savaré;Giuseppe Toscani

  • Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces

    Giuseppe Savaré

  • Multiscale Modeling for the Bioelectric Activity of the Heart

    Micol Pennacchio;Giuseppe Savaré;Piero Colli Franzone

  • Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance

    Sara Daneri;Giuseppe Savaré

  • A Family of Nonlinear Fourth Order Equations of Gradient Flow Type

    Daniel Matthes;Robert J. McCann;Giuseppe Savaré

  • A new class of transport distances

    Jean Dolbeault;Bruno Nazaret;Giuseppe Savare

  • BV SOLUTIONS AND VISCOSITY APPROXIMATIONS OF RATE-INDEPENDENT SYSTEMS ∗

    Alexander Mielke;Riccarda Rossi;Giuseppe Savaré

  • Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves

    Matthias Liero;Alexander Mielke;Giuseppe Savaré

  • On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of \(\mathsf{RCD}^*(K,N)\) Metric Measure Spaces

    Luigi Ambrosio;Andrea Mondino;Giuseppe Savaré

  • Existence and stability for Fokker–Planck equations with log-concave reference measure

    Luigi Ambrosio;Giuseppe Savaré;Lorenzo Zambotti

Frequent Co-Authors

Alexander Mielke
Alexander Mielke Weierstrass Institute for Applied Analysis and Stochastics
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Nicola Gigli
Nicola Gigli International School for Advanced Studies
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Massimo Fornasier
Massimo Fornasier Technical University of Munich
Ricardo H. Nochetto
Ricardo H. Nochetto University of Maryland, College Park
José A. Carrillo
José A. Carrillo University of Oxford
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Robert J. McCann
Robert J. McCann University of Toronto

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