Pierre Arnoux
Impact in
- Mathematical Physics top 2%
- Mathematical Dynamics and Fractals
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- semigroups and automata theory
- Cellular Automata and Applications
- Computability, Logic, AI Algorithms
Papers in
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- Mathematical Dynamics and Fractals 26
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- semigroups and automata theory 15
- Cellular Automata and Applications 6
- Co-authors
- Shunji Ito (5 shared papers)Gérard Rauzy (1 shared paper)Valérie Berthé (5 shared papers)Christian Mauduit (3 shared papers)Gilbert Levitt (1 shared paper)Arnaldo Nogueira (1 shared paper)Iekata Shiokawa (2 shared papers)Pascal Hubert (3 shared papers)
- Journals
- Bulletin de la Société mathématique de France (4 papers)Theoretical Computer Science (3 papers)Annales de l’institut Fourier (2 papers)Acta Arithmetica (2 papers)Ergodic Theory and Dynamical Systems (2 papers)
- Partner nations
- FranceUnited StatesJapan
In The Last Decade
Pierre Arnoux
36 papers receiving 678 citations
Peers
Comparison fields: 5 of 63
- Mathematical Physics 463
- Computational Theory and Mathematics 583
- Geometry and Topology 185
- Discrete Mathematics and Combinatorics 66
- Theoretical Computer Science 13
Countries citing papers authored by Pierre Arnoux
This map shows the geographic impact of Pierre Arnoux'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 Pierre Arnoux with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Pierre Arnoux more than expected).
Fields of papers citing papers by Pierre Arnoux
This network shows the impact of papers produced by Pierre Arnoux. 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 Pierre Arnoux. The network helps show where Pierre Arnoux may publish in the future.
Co-authors
The 24 scholars most cited alongside Pierre Arnoux, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 38 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1991 | 170 | |
| 2 | 2001 | 131 | |
| 3 | 1994 | 45 | |
| 4 | 2001 | 36 | |
| 5 | 1988 | 33 | |
| 6 | 1985 | 29 | |
| 7 | Chaos et déterminisme | 1992 | 28 |
| 8 | 1986 | 28 | |
| 9 | 1993 | 27 | |
| 10 | 2002 | 26 | |
| 11 | 2001 | 21 | |
| 12 | 2004 | 19 | |
| 13 | 2005 | 18 | |
| 14 | 1991 | 16 | |
| 15 | 2007 | 16 | |
| 16 | 2009 | 13 | |
| 17 | 1999 | 13 | |
| 18 | 2017 | 12 | |
| 19 | 2000 | 12 | |
| 20 | 2001 | 12 |
About Pierre Arnoux
Pierre Arnoux is a scholar working on Mathematical Physics, Computational Theory and Mathematics, Geometry and Topology, Artificial Intelligence and Statistical and Nonlinear Physics, having authored 38 papers that have together received 796 indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (26 papers), semigroups and automata theory (15 papers), Cellular Automata and Applications (6 papers), Algorithms and Data Compression (5 papers), Geometric and Algebraic Topology (5 papers), Quantum chaos and dynamical systems (4 papers), Advanced Differential Equations and Dynamical Systems (3 papers) and Mathematics and Applications (3 papers). The work is most often cited by research in Mathematical Physics (463 citations), Computational Theory and Mathematics (583 citations), Geometry and Topology (185 citations), Discrete Mathematics and Combinatorics (66 citations) and Theoretical Computer Science (13 citations). Pierre Arnoux has collaborated with scholars based in France, United States and Japan. Frequent co-authors include Shunji Ito, Gérard Rauzy, Valérie Berthé, Christian Mauduit, Gilbert Levitt, Arnaldo Nogueira, Iekata Shiokawa, Pascal Hubert, Donald Ornstein and Benjamin Weiss. Their work appears in journals such as Bulletin de la Société mathématique de France, Theoretical Computer Science, Annales de l’institut Fourier, Acta Arithmetica and Ergodic Theory and Dynamical Systems.
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.