Artur Avila
- Mathematical Physics top 0.5%
- Mathematical Dynamics and Fractals 40
- Spectral Theory in Mathematical Physics 14
- Advanced Algebra and Geometry 5
-
- Quantum chaos and dynamical systems 32
- Geometry and Topology top 2%
- Advanced Differential Equations and Dynamical Systems 12
- Geometry and complex manifolds 5
- Applied Mathematics top 5%
- Holomorphic and Operator Theory 4
-
- Nonlinear Dynamics and Pattern Formation 5
- Co-authors
- Svetlana JitomirskayaMarcelo VianaMikhail LyubichSébastien GouëzelRaphaël KrikorianBassam FayadJean-Christophe YoccozJairo Bochi
- Journals
- Communications in Mathematical Physics (3 papers)Annals of Mathematics (3 papers)Inventiones mathematicae (6 papers)
- Partner nations
- FranceBrazilUnited States
In The Last Decade
Artur Avila
56 papers receiving 1.1k citations
Hit Papers
Peers
Comparison fields: 5 of 43
- Mathematical Physics 1.0k
- Statistical and Nonlinear Physics 682
- Geometry and Topology 317
- Applied Mathematics 184
- Computational Theory and Mathematics 208
Countries citing papers authored by Artur Avila
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
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
The 25 scholars most cited alongside Artur Avila, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2023 | 2 | |
| 2 | 2021 | 0 | |
| 3 | 2019 | 8 | |
| 4 | 2018 | 4 | |
| 5 | 2018 | 2 | |
| 6 | 2017 | 2 | |
| 7 | 2015 | 15 | |
| 8 | 2015 | 118 | |
| 9 | 2014 | 27 | |
| 10 | 2013 | 11 | |
| 11 | 2013 | 9 | |
| 12 | 2012 | 7 | |
| 13 | 2011 | 6 | |
| 14 | 2010 | 13 | |
| 15 | 2010 | 60 | |
| 16 | 2009 | 2 | |
| 17 | 2007 | 60 | |
| 18 | 2004 | 0 | |
| 19 | 2004 | 23 | |
| 20 | 2002 | 1 |
About Artur Avila
Artur Avila is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics, having authored 60 papers that have together received 1.2k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (32 papers), Spectral Theory in Mathematical Physics (14 papers), Advanced Differential Equations and Dynamical Systems (12 papers), Geometry and complex manifolds (5 papers), Advanced Algebra and Geometry (5 papers), Nonlinear Dynamics and Pattern Formation (5 papers) and Holomorphic and Operator Theory (4 papers). The work is most often cited by research in Mathematical Physics (1.0k citations), Statistical and Nonlinear Physics (682 citations) and Geometry and Topology (317 citations). Artur Avila has collaborated with scholars based in France, Brazil and United States. Frequent 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. Their work appears in journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.
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.