Francesco Rossi

Applied Mathematics · 2007–2017

A researcher in the Science corpus: 5 papers; trusts 15 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 23 citations into it; #1,429 of 7,620 by trust here, #1,615 by citations
• Geometry and Topology — 14 citations into it; #2,713 of 7,422 by trust here, #2,575 by citations
• Control and Systems Engineering — 8 citations into it
• Computational Theory and Mathematics — 7 citations into it; #10,320 of 12,182 by trust here, #10,349 by citations
• Astronomy and Astrophysics — 6 citations into it; #5,435 of 10,964 by trust here, #8,796 by citations
• Statistical and Nonlinear Physics — 5 citations into it

Whom Francesco Rossi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Cédric Villani
2. Luigi Ambrosio
3. Victor M. Becerra
4. Benedetto Piccoli
5. Bertrand Maury
6. Wilfrid Gangbo
7. Nicola Gigli
8. Piotr Gwiazda
9. Richard Bellman
10. Andrea Tosin

Who trusts Francesco Rossi overall

1. Stanislav Kondratyev
2. Davide Barilari
3. G. Peyr'e
4. Andrei A. Agrachev
5. Lénaïc Chizat
6. Léonard Monsaingeon
7. Benoît Bonnet
8. Dmitry Vorotnikov
9. Marco Cuturi

Papers from Francesco Rossi's perspective

Ordered by how strongly the researchers Francesco Rossi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Topics in Optimal Transportation
2. Optimal Transport: Old and New
3. Transport equation and Cauchy problem for BV vector fields
4. Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow
5. A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients
6. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
7. Hamiltonian ODEs in the Wasserstein space of probability measures
8. Structured Populations, Cell Growth and Measure Valued Balance Laws
9. STRUCTURED POPULATION EQUATIONS IN METRIC SPACES
10. A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

Their papers

• The Pontryagin Maximum Principle in the Wasserstein Space (2017) — 64 citations
• On Properties of the Generalized Wasserstein Distance (2013) — 117 citations
• Generalized Wasserstein Distance and its Application to Transport Equations with Source (2012) — 219 citations
• The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups (2008) — 187 citations
• Invariant Carnot-Caratheodory metrics on $S^3$, $SO(3)$, $SL(2)$ and lens spaces (2007) — 153 citations