Pierre Arnoux

1.5k total citations
38 papers, 784 citations indexed

About

Pierre Arnoux is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Pierre Arnoux has authored 38 papers receiving a total of 784 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 20 papers in Computational Theory and Mathematics and 14 papers in Geometry and Topology. Recurrent topics in Pierre Arnoux's work include Mathematical Dynamics and Fractals (26 papers), semigroups and automata theory (15 papers) and Cellular Automata and Applications (6 papers). Pierre Arnoux is often cited by papers focused on Mathematical Dynamics and Fractals (26 papers), semigroups and automata theory (15 papers) and Cellular Automata and Applications (6 papers). Pierre Arnoux collaborates with scholars based in France, United States and Japan. Pierre Arnoux's co-authors include Shunji Ito, Gérard Rauzy, Valérie Berthé, Christian Mauduit, Gilbert Levitt, Arnaldo Nogueira, Iekata Shiokawa, Pascal Hubert, Donald Ornstein and Benjamin Weiss and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Pierre Arnoux

36 papers receiving 669 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Pierre Arnoux France	15	573	456	182	166	79	38	784
Valérie Berthé France	17	629 1.1×	327 0.7×	107 0.6×	213 1.3×	64 0.8×	75	726
Sébastien Ferenczi France	17	569 1.0×	507 1.1×	144 0.8×	170 1.0×	39 0.5×	40	779
Gérard Rauzy France	9	568 1.0×	412 0.9×	138 0.8×	205 1.2×	64 0.8×	24	766
Luca Q. Zamboni France	19	784 1.4×	298 0.7×	101 0.6×	427 2.6×	35 0.4×	81	915
N. Pytheas Fogg France	2	300 0.5×	199 0.4×	66 0.4×	103 0.6×	59 0.7×	2	375
Julien Cassaigne France	16	624 1.1×	205 0.4×	111 0.6×	396 2.4×	15 0.2×	63	762
Zhi‐Xiong Wen China	12	163 0.3×	227 0.5×	93 0.5×	67 0.4×	26 0.3×	56	413
Louigi Addario‐Berry Canada	14	339 0.6×	245 0.5×	118 0.6×	62 0.4×	24 0.3×	49	684
Tullio Ceccherini‐Silberstein Italy	13	323 0.6×	358 0.8×	276 1.5×	76 0.5×	9 0.1×	71	627
Marcy Barge United States	17	280 0.5×	635 1.4×	341 1.9×	35 0.2×	93 1.2×	55	763

Countries citing papers authored by Pierre Arnoux

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Pierre Arnoux

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre Arnoux. A scholar is included among the top collaborators of Pierre Arnoux 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 Pierre Arnoux. Pierre Arnoux is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Arnoux, Pierre. (2024). Complexité de suites à valeurs dans un ensemble fini : quelques exemples. French digital mathematics library (Numdam). 21–40.

Arnoux, Pierre & Thomas J. Schmidt. (2019). Natural extensions and Gauss measures for piecewise homographic continued fractions. Bulletin de la Société mathématique de France. 147(3). 515–544. 3 indexed citations

Arnoux, Pierre. (2018). Overdrive : théorie d’une sonorité électrique. N° 9(1). 13–48.

Arnoux, Pierre, et al.. (2014). WHAT IS... a Rauzy Fractal?. Notices of the American Mathematical Society. 61(7). 768–768. 3 indexed citations

Arnoux, Pierre, et al.. (2011). Algebraic numbers, free group automorphisms and substitutions on the plane. Transactions of the American Mathematical Society. 363(9). 4651–4699. 5 indexed citations

Arnoux, Pierre, et al.. (2009). Veech surfaces with nonperiodic directions in the trace field. Journal of Modern Dynamics. 3(4). 611–629. 12 indexed citations

Arnoux, Pierre, et al.. (2009). The rise and fall of mathematical enrolments in the French educational system: a case study. International Journal of Mathematical Education in Science and Technology. 40(1). 43–57. 12 indexed citations

Arnoux, Pierre, et al.. (2007). Functional stepped surfaces, flips, and generalized substitutions. Theoretical Computer Science. 380(3). 251–265. 16 indexed citations

Arnoux, Pierre, et al.. (2006). Fractal representation of the attractive lamination of an automorphism of the free group. Annales de l’institut Fourier. 56(7). 2161–2212. 7 indexed citations

10.

Arnoux, Pierre, Valérie Berthé, & Anne Siegel. (2004). Two-dimensional iterated morphisms and discrete planes. Theoretical Computer Science. 319(1-3). 145–176. 19 indexed citations

11.

Arnoux, Pierre, Valérie Berthé, & Shunji Ito. (2002). Discrete planes, ℤ 2 -actions, Jacobi-Perron algorithm and substitutions. Annales de l’institut Fourier. 52(2). 305–349. 25 indexed citations

12.

Arnoux, Pierre & Shunji Ito. (2001). Pisot substitutions and Rauzy fractals. Bulletin of the Belgian Mathematical Society - Simon Stevin. 8(2). 129 indexed citations

13.

Arnoux, Pierre, et al.. (2001). Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions. Discrete Mathematics & Theoretical Computer Science. DMTCS Proceedings vol. AA,...(Proceedings). 21 indexed citations

14.

Arnoux, Pierre & Pascal Hubert. (2000). Fractions continues sur les surfaces de Veech. Journal d Analyse Mathématique. 81(1). 35–64. 12 indexed citations

15.

Arnoux, Pierre, et al.. (1994). Complexity of sequences defined by billiard in the cube. Bulletin de la Société mathématique de France. 122(1). 1–12. 45 indexed citations

16.

Arnoux, Pierre, et al.. (1992). Chaos et déterminisme. 28 indexed citations

17.

Arnoux, Pierre & Gérard Rauzy. (1991). Représentation géométrique de suites de complexité $2n+1$. Bulletin de la Société mathématique de France. 119(2). 199–215. 166 indexed citations

18.

Arnoux, Pierre. (1989). Some remarks about Fibonacci multiplication. Applied Mathematics Letters. 2(4). 319–320. 8 indexed citations

19.

Arnoux, Pierre. (1988). Ergodicité générique des billards polygonaux. French digital mathematics library (Numdam). 30. 203–221. 4 indexed citations

20.

Arnoux, Pierre & Gilbert Levitt. (1986). Sur l'unique ergodicit� des 1-formes ferm�es singuli�res. Inventiones mathematicae. 84(1). 141–156. 28 indexed citations

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.

Explore authors with similar magnitude of impact