Fabio Cavalletti

Applied Mathematics · 2011–2018

A researcher in the Science corpus: 8 papers; trusts 46 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 174 citations into it; #846 of 7,620 by trust here, #651 by citations
• Geometry and Topology — 102 citations into it; #1,523 of 7,422 by trust here, #1,030 by citations
• Astronomy and Astrophysics — 70 citations into it; #2,979 of 10,964 by trust here, #6,524 by citations
• Computational Theory and Mathematics — 13 citations into it
• Mathematical Physics — 11 citations into it
• Optimization & Training — 9 citations into it
• Genetics — 6 citations into it
• Radiology, Nuclear Medicine and Imaging — 5 citations into it

Whom Fabio Cavalletti trusts overall

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

1. Karl‐Theodor Sturm
2. Cédric Villani
3. Shin-ichi Ohta
4. Nicola Gigli
5. Luigi Ambrosio
6. J. Lott
7. Andrea Mondino
8. Emanuel Milman
9. T. Rajala
10. C. Ketterer

Who trusts Fabio Cavalletti overall

1. Andrea Mondino
2. Nicola Gigli
3. Emanuel Milman
4. Luigi Ambrosio
5. Zoltán M. Balogh
6. Yu Kitabeppu
7. V. Kapovitch
8. Shin-ichi Ohta
9. Elia Brué
10. C. Ketterer

Papers from Fabio Cavalletti's perspective

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

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. On the geometry of metric measure spaces. II
3. A Convexity Principle for Interacting Gases
4. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
5. Topics in Optimal Transportation
6. On the measure contraction property of metric measure spaces
7. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces
8. Existence and uniqueness of monotone measure-preserving maps
9. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION
10. Existence and uniqueness of optimal maps on Alexandrov spaces

Their papers

• New formulas for the Laplacian of distance functions and applications (2018) — 69 citations
• The globalization theorem for the Curvature-Dimension condition (2016) — 189 citations
• Optimal maps in essentially non-branching spaces (2016) — 66 citations
• Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds (2015) — 105 citations
• Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds (2015) — 185 citations
• Monge problem in metric measure spaces with Riemannian curvature-dimension condition (2013) — 53 citations
• Local curvature-dimension condition implies measure-contraction property (2011) — 69 citations
• The Monge Problem for Distance Cost in Geodesic Spaces (2011) — 79 citations