Artur Avila
Artur Avila publishes mostly in Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics, on topics such as Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems and Spectral Theory in Mathematical Physics.
- World rank
- #184,157 of 1,633,909 ranked researchers
- Rank in Brazil
- #1,190 of 38,702
- Works
- 44
- Citations
- 244
- Citations per work
- 5.5
What does Artur Avila research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Mathematical Physics38% of their works
- 2Geometry and Topology28% of their works
- 3Statistical and Nonlinear Physics15% of their works
- 4Applied Mathematics7% of their works
- 5Atomic and Molecular Physics, and Optics5% of their works
- 6Computational Theory and Mathematics3% of their works
Research topics
- Mathematical Dynamics and Fractals
- Quantum chaos and dynamical systems
- Spectral Theory in Mathematical Physics
- Advanced Differential Equations and Dynamical Systems
- Advanced Topology and Set Theory
- Analytic and geometric function theory
- Quantum Mechanics and Non-Hermitian Physics
- Geometric and Algebraic Topology
Which keywords describe Artur Avila's research?
The keywords of their largest research topics: Dynamical Systems, Chaos, Fractals, Lagrangian Coherent Structures, Quantum Chaos, Differential Operators, Spectral Theory and Bifurcations.
- Knot Invariants
- PT-Symmetry
- Model Theory
- Complex Analysis
- Bifurcations
- Differential Operators
- Lagrangian Coherent Structures
- Chaos
- Dynamical Systems
- Fractals
- Quantum Chaos
- Spectral Theory
- Planar Systems
- Geometric Function Theory
- Non-Hermitian Physics
- Topological Dynamics
- Symplectic Topology
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 17 words, with their numbers
- Dynamical Systems292 topics
- Chaos181 topic
- Fractals181 topic
- Lagrangian Coherent Structures111 topic
- Quantum Chaos111 topic
- Differential Operators71 topic
- Spectral Theory71 topic
- Bifurcations61 topic
- Planar Systems61 topic
- Complex Analysis41 topic
- Geometric Function Theory41 topic
- Model Theory41 topic
- Non-Hermitian Physics41 topic
- PT-Symmetry41 topic
- Topological Dynamics41 topic
- Knot Invariants31 topic
- Symplectic Topology31 topic
Where does Artur Avila work?
Artur Avila's main affiliation in the publication record is Instituto Nacional de Matemática Pura e Aplicada, Brazil.
How many publications and citations does Artur Avila have?
Science Explorer counts 44 works and 244 citations for Artur Avila, ranking #184,157 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.
Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.