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Researcher · Instituto Nacional de Matemática Pura e Aplicada · Brazil

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.

OpenAlex
World rank
#436,384
of 7,710,434 ranked researchers
Rank in Brazil
#2,041
of 253,246
Works
159
Citations
3.4k
Citations per work
21.2
h-index
31
i10-index 62Top 3.6% in Mathematical Physics
Artur Avila

What does Artur Avila research?

Artur Avila's work is mostly in Mathematics (67%), Physics and Astronomy (17%), Computer Science (6%).

Physical Sciences: 143 works · 89.7% of their workMathematics: 107 works · 67.0% of their workMathematical Physics: 60 works · 37.9% of their workGeometry and Topology: 31 works · 19.6% of their workApplied Mathematics: 15 works · 9.5% of their workPhysics and Astronomy: 27 works · 17.0% of their workStatistical and Nonlinear Physics: 27 works · 17.0% of their workComputer Science: 9 works · 5.7% of their workComputational Theory and Mathematics: 7 works · 4.2% of their workComputer Networks and Communications: 2 works · 1.5% of their workEverything else: 16 works · 10.3% of their workTHEIR WORKArtur Avila159works
Physical Sciences90%

Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.

The fields and subfields, with their numbers
    1. Mathematics10767.0%
    2. Physics and Astronomy2717.0%
    3. Computer Science95.7%
  2. Everything else1610.3%
  1. 1Mathematical Physics38% of their works
  2. 2Geometry and Topology20% of their works
  3. 3Statistical and Nonlinear Physics17% of their works
  4. 4Applied Mathematics10% of their works
  5. 5Computational Theory and Mathematics4% of their works
  6. 6Computer Networks and Communications2% of their works

Research topics

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.

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
  1. Dynamical Systems1642 topics
  2. Chaos1011 topic
  3. Fractals1011 topic
  4. Lagrangian Coherent Structures631 topic
  5. Quantum Chaos631 topic
  6. Differential Operators381 topic
  7. Spectral Theory381 topic
  8. Bifurcations251 topic
  9. Planar Systems251 topic
  10. Knot Invariants151 topic
  11. Model Theory151 topic
  12. Symplectic Topology151 topic
  13. Topological Dynamics151 topic
  14. Kähler Metrics131 topic
  15. Stability131 topic
  16. Complex Analysis111 topic
  17. Geometric Function Theory111 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?

OpenAlex counts 159 works and 3,370 citations for Artur Avila, an h-index of 31, ranking #436,384 of 7,710,434 researchers worldwide on the quality 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 have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.

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