Artur Avila

3.1k total citations · 1 hit paper
60 papers, 1.2k citations indexed

About

Artur Avila is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Artur Avila has authored 60 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Mathematical Physics, 34 papers in Statistical and Nonlinear Physics and 27 papers in Geometry and Topology. Recurrent topics in Artur Avila's work include Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (32 papers) and Spectral Theory in Mathematical Physics (14 papers). Artur Avila is often cited by papers focused on Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (32 papers) and Spectral Theory in Mathematical Physics (14 papers). Artur Avila collaborates with scholars based in France, Brazil and United States. Artur Avila's co-authors include Svetlana Jitomirskaya, Marcelo Viana, Mikhail Lyubich, Sébastien Gouëzel, Raphaël Krikorian, Bassam Fayad, Jean-Christophe Yoccoz, Jairo Bochi, Welington de Melo and Pascal Hubert and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Artur Avila

56 papers receiving 1.1k citations

Hit Papers

The Ten Martini Problem 2009 2026 2014 2020 2009 50 100 150

Peers

Artur Avila
Comparison fields: 5 of 43
  • Mathematical Physics 1.0k
  • Statistical and Nonlinear Physics 682
  • Geometry and Topology 317
  • Atomic and Molecular Physics, and Optics 238
  • Computational Theory and Mathematics 208
Svetlana Jitomirskaya United States
Jiangong You China
David Damanik United States
Yoram Last Israel
L. H. Eliasson Sweden
Michael R. Herman France
Pierre Moussa France
Boris Mityagin United States
Artur O. Lopes Brazil
Alexander Teplyaev United States
Svetlana Jitomirskaya United States View profile →
Citations per field, relative to Artur Avila
Artur Avila · 1×
Citations per year, relative to Artur Avila
Artur Avila · 1×

Countries citing papers authored by Artur Avila

Since Specialization
Citations

This map shows the geographic impact of Artur Avila's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Artur Avila with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Artur Avila more than expected).

Fields of papers citing papers by Artur Avila

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Artur Avila. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Artur Avila. The network helps show where Artur Avila may publish in the future.

Co-authorship network of co-authors of Artur Avila

This figure shows the co-authorship network connecting the top 25 collaborators of Artur Avila. A scholar is included among the top collaborators of Artur Avila based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Artur Avila. Artur Avila is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
# Work Indexed citations
1 2
2 0
3 8
4 4
5 2
6 2
7 15
8 118
9 27
10 11
11 9
12 7
13 6
14 13
15 60
16 2
17 60
18 0
19 23
20 1

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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