Ambrosio Luigi

Applied Mathematics · 2018

A researcher in the Science corpus: 1 paper; trusts 4 researchers and is trusted by 3 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 32 citations into it; #6,006 of 7,620 by trust here, #6,241 by citations
• Geometry and Topology — 18 citations into it
• Astronomy and Astrophysics — 13 citations into it; #8,645 of 10,964 by trust here, #10,575 by citations

Whom Ambrosio Luigi trusts overall

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

1. Luigi Ambrosio
2. Nicola Gigli
3. Cédric Villani
4. Karl‐Theodor Sturm
5. Andrea Mondino
6. J. Lott
7. Giuseppe Savar'e
8. Guido De Philippis

Who trusts Ambrosio Luigi overall

1. Elia Brué
2. Enrico Pasqualetto

Papers from Ambrosio Luigi's perspective

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

1. On the geometry of metric measure spaces. II
2. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
3. A Convexity Principle for Interacting Gases
4. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
5. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION
6. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces
7. Topics in Optimal Transportation
8. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
9. Ricci curvature of Markov chains on metric spaces
10. Regularity of Potential Functions of the Optimal Transportation Problem

Their papers

• Rigidity of the 1-Bakry–Émery Inequality and Sets of Finite Perimeter in RCD Spaces (2018) — 60 citations