Michel Petitot

782 total citations
19 papers, 320 citations indexed

About

Michel Petitot is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Michel Petitot has authored 19 papers receiving a total of 320 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Algebra and Number Theory, 6 papers in Discrete Mathematics and Combinatorics and 6 papers in Geometry and Topology. Recurrent topics in Michel Petitot's work include Advanced Mathematical Identities (8 papers), Advanced Combinatorial Mathematics (6 papers) and Analytic Number Theory Research (5 papers). Michel Petitot is often cited by papers focused on Advanced Mathematical Identities (8 papers), Advanced Combinatorial Mathematics (6 papers) and Analytic Number Theory Research (5 papers). Michel Petitot collaborates with scholars based in France and United States. Michel Petitot's co-authors include Hoang Ngoc Minh, Olivier Didrit, Éric Walter, Joris van der Hoeven, François Boulier, Nicolas Auffray, François Ollivier, Boris Kolev, Daniel Lazard and Lilianne Denis-Vidal and has published in prestigious journals such as IEEE Transactions on Robotics and Automation, Theoretical Computer Science and Discrete Mathematics.

In The Last Decade

Michel Petitot

18 papers receiving 282 citations

Peers

Michel Petitot
George Boros United States
Andrew Pollington United States
Khristo N. Boyadzhiev United States
Christoph Koutschan Austria
Ronald L. Lipsman United States
Thomas S. Shores United States
Shigeyuki Morita Japan
Gert Almkvist Sweden
Morton L. Curtis United States
Martin Moskowitz United States
George Boros United States
Michel Petitot
Citations per year, relative to Michel Petitot Michel Petitot (= 1×) peers George Boros

Countries citing papers authored by Michel Petitot

Since Specialization
Citations

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

Fields of papers citing papers by Michel Petitot

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michel Petitot. 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 Michel Petitot. The network helps show where Michel Petitot may publish in the future.

Co-authorship network of co-authors of Michel Petitot

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

All Works

19 of 19 papers shown
1.
Auffray, Nicolas, Boris Kolev, & Michel Petitot. (2013). On Anisotropic Polynomial Relations for the Elasticity Tensor. Journal of Elasticity. 115(1). 77–103. 27 indexed citations
2.
Boulier, François, Daniel Lazard, François Ollivier, & Michel Petitot. (2009). Computing representations for radicals of finitely generated differential ideals. Applicable Algebra in Engineering Communication and Computing. 20(1). 73–121. 36 indexed citations
3.
Petitot, Michel, et al.. (2008). New classification techniques for ordinary differential equations. Journal of Symbolic Computation. 44(7). 836–851. 2 indexed citations
4.
Petitot, Michel, et al.. (2008). Élie Cartan’s geometrical vision or how to avoid expression swell. Journal of Symbolic Computation. 44(3). 261–270. 5 indexed citations
5.
Petitot, Michel, et al.. (2007). Towards a new ode solver based on cartan's equivalence method. 135–142. 1 indexed citations
6.
Olver, Peter J., Michel Petitot, & Patrick Solé. (2006). Generalized transvectants and Siegel modular forms. Advances in Applied Mathematics. 38(3). 404–418. 2 indexed citations
7.
Minh, Hoang Ngoc, et al.. (2005). Structure and asymptotic expansion of multiple harmonic sums. 100–107. 9 indexed citations
8.
Petitot, Michel, et al.. (2003). A COMPLETE MAPLE PACKAGE FOR NONCOMMUTATIVE RATIONAL POWER SERIES. 174–188. 1 indexed citations
9.
Petitot, Michel, et al.. (2002). Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables. Theoretical Computer Science. 273(1-2). 271–282. 18 indexed citations
10.
Petitot, Michel, et al.. (2002). La géométrie de l'équation y‴=f(x,y,y′,y″). Comptes Rendus Mathématique. 335(6). 515–518. 35 indexed citations
11.
Petitot, Michel, et al.. (2002). Finitely discretizable nonlinear systems: concepts and definitions. 1. 19–24. 11 indexed citations
12.
Minh, Hoang Ngoc, et al.. (2001). DE L'ALG EBRE DES DE RIEMANN MULTIVARI EES A L'ALG EBRE DES DE HURWITZ MULTIVARI EES. 5 indexed citations
13.
Denis-Vidal, Lilianne, et al.. (2001). An Algorithm to Test Identifiability of Non-Linear Systems. IFAC Proceedings Volumes. 34(6). 197–201. 25 indexed citations
14.
Minh, Hoang Ngoc, Michel Petitot, & Joris van der Hoeven. (2000). Shuffle algebra and polylogarithms. Discrete Mathematics. 225(1-3). 217–230. 34 indexed citations
15.
Minh, Hoang Ngoc & Michel Petitot. (2000). Lyndon words, polylogarithms and the Riemann ζ function. Discrete Mathematics. 217(1-3). 273–292. 46 indexed citations
16.
Minh, Hoang Ngoc, et al.. (1999). Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.). 43. 5 indexed citations
17.
Didrit, Olivier, Michel Petitot, & Éric Walter. (1998). Guaranteed solution of direct kinematic problems for general configurations of parallel manipulators. IEEE Transactions on Robotics and Automation. 14(2). 259–266. 53 indexed citations
18.
Minh, Hoang Ngoc, Michel Petitot, & Joris van der Hoeven. (1998). Computation of the monodromy of generalized polylogarithms. 276–283. 4 indexed citations
19.
Boulier, François & Michel Petitot. (1995). Complete Computation of the Relations for Implicit Dynamical Systems. IFAC Proceedings Volumes. 28(8). 585–589. 1 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.

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