Jean‐Paul Allouche

4.3k total citations · 1 hit paper
120 papers, 1.9k citations indexed

About

Jean‐Paul Allouche is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Artificial Intelligence. According to data from OpenAlex, Jean‐Paul Allouche has authored 120 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 85 papers in Computational Theory and Mathematics, 39 papers in Mathematical Physics and 35 papers in Artificial Intelligence. Recurrent topics in Jean‐Paul Allouche's work include semigroups and automata theory (77 papers), Mathematical Dynamics and Fractals (36 papers) and Advanced Mathematical Identities (24 papers). Jean‐Paul Allouche is often cited by papers focused on semigroups and automata theory (77 papers), Mathematical Dynamics and Fractals (36 papers) and Advanced Mathematical Identities (24 papers). Jean‐Paul Allouche collaborates with scholars based in France, Canada and United States. Jean‐Paul Allouche's co-authors include Jeffrey Shallit, Michel Cosnard, Michel Mendès France, Jacques Peyrière, Luca Q. Zamboni, David Damanik, Julien Cassaigne, Pierre Liardet, Michael Baake and Mireille Bousquet‐Mélou and has published in prestigious journals such as SHILAP Revista de lepidopterología, Annals of the New York Academy of Sciences and Mathematics of Computation.

In The Last Decade

Jean‐Paul Allouche

109 papers receiving 1.7k citations

Hit Papers

Automatic Sequences: Theory, Applications, Generalizations 2003 2026 2010 2018 2003 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Automatic Sequences: Theory, Applications, Generalizations
    2003 439 citations Jean‐Paul Allouche, Jeffrey Shallit profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jean‐Paul Allouche France 19 1.4k 776 580 254 234 120 1.9k
Mireille Bousquet‐Mélou France 21 542 0.4× 245 0.3× 533 0.9× 313 1.2× 993 4.2× 79 1.5k
Peter Freyd United States 14 483 0.3× 440 0.6× 848 1.5× 341 1.3× 272 1.2× 37 1.7k
Greg Kuperberg United States 20 280 0.2× 320 0.4× 478 0.8× 270 1.1× 525 2.2× 66 1.6k
Paul E. Schupp United States 18 1.5k 1.0× 568 0.7× 1.3k 2.2× 191 0.8× 826 3.5× 58 3.0k
Benjamin Weiss Israel 25 652 0.5× 142 0.2× 1.6k 2.8× 166 0.7× 99 0.4× 76 2.0k
S. Barry Cooper New Zealand 20 634 0.4× 255 0.3× 155 0.3× 569 2.2× 309 1.3× 148 1.4k
Jack H. Koolen South Korea 18 614 0.4× 378 0.5× 107 0.2× 87 0.3× 847 3.6× 171 1.5k
Gareth A. Jones United Kingdom 21 250 0.2× 386 0.5× 405 0.7× 164 0.6× 852 3.6× 91 1.5k
John Leech United Kingdom 14 270 0.2× 327 0.4× 150 0.3× 85 0.3× 246 1.1× 40 1.1k
Eiichi Bannaĭ Japan 21 300 0.2× 961 1.2× 281 0.5× 228 0.9× 1.2k 5.1× 129 2.1k

Countries citing papers authored by Jean‐Paul Allouche

Since Specialization
Citations

This map shows the geographic impact of Jean‐Paul Allouche'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 Jean‐Paul Allouche with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Jean‐Paul Allouche more than expected).

Fields of papers citing papers by Jean‐Paul Allouche

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jean‐Paul Allouche. 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 Jean‐Paul Allouche. The network helps show where Jean‐Paul Allouche may publish in the future.

Co-authorship network of co-authors of Jean‐Paul Allouche

This figure shows the co-authorship network connecting the top 25 collaborators of Jean‐Paul Allouche. A scholar is included among the top collaborators of Jean‐Paul Allouche 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 Jean‐Paul Allouche. Jean‐Paul Allouche 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
1.
Allouche, Jean‐Paul. (2024). Another Euler Constant: The Value of an Euler Integral. 19(1-2). 3–14.
2.
Allouche, Jean‐Paul, et al.. (2024). Ellipsephic harmonic series revisited. Acta Mathematica Academiae Scientiarum Hungaricae. 173(2). 461–470. 1 indexed citations
3.
Allouche, Jean‐Paul & Victor Petrogradsky. (2023). A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra. Journal of Algebra. 639. 708–719.
4.
Allouche, Jean‐Paul & Tom Johnson. (2018). Combinatorics of words and morphisms in some pieces of Tom Johnson. Journal of Mathematics and Music. 12(3). 248–257. 4 indexed citations
5.
Allouche, Jean‐Paul. (2012). Surveying some notions of complexity for finite and infinite sequences (Functions in Number Theory and Their Probabilistic Aspects). Kyoto University Research Information Repository (Kyoto University). 34(34). 27–37. 1 indexed citations
6.
Allouche, Jean‐Paul & Amy Glen. (2010). Extremal properties of (epi)Sturmian sequences and distribution modulo $1$. 56(3). 365–401. 4 indexed citations
7.
Allouche, Jean‐Paul, Matthew Clarke, & Nikita Sidorov. (2009). Periodic unique beta-expansions: the Sharkovskiĭ ordering. Ergodic Theory and Dynamical Systems. 29(4). 1055–1074. 8 indexed citations
8.
Allouche, Jean‐Paul & Michel Mendès France. (2008). Euler, Pisot, Prouhet–Thue–Morse, Wallis and the duplication of sines. Monatshefte für Mathematik. 155(3-4). 301–315. 1 indexed citations
9.
Allouche, Jean‐Paul, Jeffrey Shallit, & Jonathan Sondow. (2006). Summation of series defined by counting blocks of digits. Journal of Number Theory. 123(1). 133–143. 4 indexed citations
10.
Allouche, Jean‐Paul, et al.. (2005). Self-generating sets, integers with missing blocks, and substitutions. Discrete Mathematics. 292(1-3). 1–15. 6 indexed citations
11.
Allouche, Jean‐Paul & Michel Cosnard. (2001). Non-Integer Bases, Iteration of Continuous Real Maps, and an Arithmetic Self-Similar set. Acta Mathematica Academiae Scientiarum Hungaricae. 91(4). 325–332. 13 indexed citations
12.
Allouche, Jean‐Paul, Klaus Scheicher, & Robert F. Tichy. (2000). Regular maps in generalized number systems. Mathematica Slovaca. 50(1). 41–58. 5 indexed citations
13.
Allouche, Jean‐Paul, et al.. (1997). Automaticity of double sequences generated by one-dimensional linear cellular automata. Theoretical Computer Science. 188(1-2). 195–209. 19 indexed citations
14.
Allouche, Jean‐Paul & Mireille Bousquet‐Mélou. (1995). On the conjectures of Rauzy and Shallit for infinite words. Commentationes Mathematicae Universitatis Carolinae. 36(4). 705–711. 4 indexed citations
15.
Allouche, Jean‐Paul & Mireille Bousquet‐Mélou. (1994). Canonical positions for the factors in paperfolding sequences. Theoretical Computer Science. 129(2). 263–278. 11 indexed citations
16.
Allouche, Jean‐Paul. (1993). Finite automata and arithmetic.. 30. 2 indexed citations
17.
Allouche, Jean‐Paul. (1989). Note sur un article de Sharif et Woodcock. Journal de Théorie des Nombres de Bordeaux. 1(1). 163–187. 13 indexed citations
18.
Allouche, Jean‐Paul. (1989). On a sequence of rational functions. Theoretical Computer Science. 65(2). 123–130. 1 indexed citations
19.
Allouche, Jean‐Paul & Michel Mendès France. (1985). On an extremal property of the Rudin‐Shapiro sequence. Mathematika. 32(1). 33–38. 12 indexed citations
20.
Allouche, Jean‐Paul, et al.. (1985). Suite de Rudin-Shapiro et modèle d'Ising. Bulletin de la Société mathématique de France. 79. 273–283. 6 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

Breakdown of academic impact, for papers by Mireille Bousquet‐Mélou Breakdown of academic impact, for papers by Peter Freyd Breakdown of academic impact, for papers by Greg Kuperberg Breakdown of academic impact, for papers by Paul E. Schupp Breakdown of academic impact, for papers by Benjamin Weiss Breakdown of academic impact, for papers by S. Barry Cooper Breakdown of academic impact, for papers by Jack H. Koolen Breakdown of academic impact, for papers by Gareth A. Jones Breakdown of academic impact, for papers by John Leech Breakdown of academic impact, for papers by Eiichi Bannaĭ
Rankless by CCL
2026