Luigi Ambrosio
Luigi Ambrosio publishes mostly in Applied Mathematics, Mathematical Physics and Geometry and Topology, on topics such as Geometric Analysis and Curvature Flows, Nonlinear Partial Differential Equations and Advanced Mathematical Modeling in Engineering.
- World rank
- #155,997 of 1,633,909 ranked researchers
- Rank in Italy
- #4,572 of 65,712
- Works
- 59
- Citations
- 347
- Citations per work
- 5.9
What does Luigi Ambrosio research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Applied Mathematics36% of their works
- 2Mathematical Physics15% of their works
- 3Geometry and Topology12% of their works
- 4Computational Theory and Mathematics10% of their works
- 5Computational Mechanics6% of their works
- 6Astronomy and Astrophysics5% of their works
Research topics
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Geometry and complex manifolds
- Navier-Stokes equation solutions
- Point processes and geometric inequalities
- Mathematical Dynamics and Fractals
- Advanced Differential Geometry Research
Which keywords describe Luigi Ambrosio's research?
The keywords of their largest research topics: Optimal Transport, Ricci Curvature, Fractional Laplacian, Sobolev Spaces, Heterogeneous, Kähler Metrics, Multiscale Methods and Stability.
- Spatstat
- Point Processes
- Finsler Geometry
- Compressible Flows
- Stability
- Kähler Metrics
- Sobolev Spaces
- Ricci Curvature
- Optimal Transport
- Fractional Laplacian
- Heterogeneous
- Multiscale Methods
- Chaos
- Dynamical Systems
- Navier-Stokes Equations
- Riemannian Manifolds
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 16 words, with their numbers
- Optimal Transport131 topic
- Ricci Curvature131 topic
- Fractional Laplacian61 topic
- Sobolev Spaces61 topic
- Heterogeneous51 topic
- Kähler Metrics51 topic
- Multiscale Methods51 topic
- Stability51 topic
- Chaos41 topic
- Compressible Flows41 topic
- Dynamical Systems41 topic
- Finsler Geometry41 topic
- Navier-Stokes Equations41 topic
- Point Processes41 topic
- Riemannian Manifolds41 topic
- Spatstat41 topic
Where does Luigi Ambrosio work?
Luigi Ambrosio's main affiliation in the publication record is Scuola Normale Superiore, Italy.
How many publications and citations does Luigi Ambrosio have?
Science Explorer counts 59 works and 347 citations for Luigi Ambrosio, ranking #155,997 of 1,633,909 researchers worldwide on the composite score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
Other researchers named Luigi Ambrosio
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