Patrick Dehornoy

2.4k total citations
79 papers, 1.2k citations indexed

About

Patrick Dehornoy is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Patrick Dehornoy has authored 79 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 63 papers in Geometry and Topology, 43 papers in Computational Theory and Mathematics and 35 papers in Mathematical Physics. Recurrent topics in Patrick Dehornoy's work include Geometric and Algebraic Topology (57 papers), semigroups and automata theory (32 papers) and Homotopy and Cohomology in Algebraic Topology (30 papers). Patrick Dehornoy is often cited by papers focused on Geometric and Algebraic Topology (57 papers), semigroups and automata theory (32 papers) and Homotopy and Cohomology in Algebraic Topology (30 papers). Patrick Dehornoy collaborates with scholars based in France, United Kingdom and Canada. Patrick Dehornoy's co-authors include Luis Paris, Bert Wiest, Ivan Dynnikov, Dale Rolfsen, Jean Michel, François Digne, Eddy Godelle, Yves Lafont, Daan Krammer and Marc Girault and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Theoretical Computer Science.

In The Last Decade

Patrick Dehornoy

73 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Patrick Dehornoy France 20 984 670 465 266 148 79 1.2k
Gregory Cherlin United States 17 753 0.8× 382 0.6× 343 0.7× 488 1.8× 272 1.8× 77 1.0k
Mark Sapir United States 20 857 0.9× 553 0.8× 709 1.5× 256 1.0× 88 0.6× 79 1.2k
Dugald Macpherson United Kingdom 18 763 0.8× 374 0.6× 527 1.1× 278 1.0× 227 1.5× 81 1.0k
Alexei Myasnikov United States 21 1.2k 1.2× 744 1.1× 706 1.5× 458 1.7× 261 1.8× 121 1.6k
Benjamin Steinberg Canada 19 666 0.7× 353 0.5× 934 2.0× 203 0.8× 233 1.6× 121 1.2k
Bruno Poizat France 15 490 0.5× 316 0.5× 292 0.6× 105 0.4× 126 0.9× 57 662
A. Yu. Olshanskii Russia 14 629 0.6× 403 0.6× 304 0.7× 372 1.4× 109 0.7× 39 831
James H. Schmerl United States 14 417 0.4× 183 0.3× 487 1.0× 142 0.5× 131 0.9× 108 733
Leonard Lipshitz United States 16 409 0.4× 242 0.4× 367 0.8× 104 0.4× 230 1.6× 38 726
Mohan S. Putcha United States 22 712 0.7× 604 0.9× 574 1.2× 324 1.2× 422 2.9× 119 1.3k

Countries citing papers authored by Patrick Dehornoy

Since Specialization
Citations

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

Fields of papers citing papers by Patrick Dehornoy

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Dehornoy

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Dehornoy. A scholar is included among the top collaborators of Patrick Dehornoy 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 Patrick Dehornoy. Patrick Dehornoy 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.
Dehornoy, Patrick. (2017). Multifraction reduction II: Conjectures for Artin–Tits groups. 1(3). 229–287. 4 indexed citations
2.
3.
Dehornoy, Patrick, et al.. (2010). On the distance between the expressions of a permutation. European Journal of Combinatorics. 31(7). 1829–1846. 5 indexed citations
4.
Dehornoy, Patrick. (2009). On the rotation distance between binary trees. Advances in Mathematics. 223(4). 1316–1355. 9 indexed citations
5.
Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2008). Ordering Braids. Mathematical surveys and monographs. 19 indexed citations
6.
Sibert, Hervé, Patrick Dehornoy, & Marc Girault. (2005). Entity authentication schemes using braid word reduction. Discrete Applied Mathematics. 154(2). 420–436. 24 indexed citations
7.
Dehornoy, Patrick. (2005). Geometric presentations for Thompson's groups. Journal of Pure and Applied Algebra. 203(1-3). 1–44. 23 indexed citations
8.
Dehornoy, Patrick. (2005). The group of parenthesized braids. Advances in Mathematics. 205(2). 354–409. 29 indexed citations
9.
Dehornoy, Patrick. (2004). The group of fractions of a torsion free lcm monoid is torsion free. Journal of Algebra. 281(1). 303–305. 8 indexed citations
10.
Dehornoy, Patrick. (2003). Progrès récents sur l’hypothèse du continu. French digital mathematics library (Numdam). 45. 147–172.
11.
Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2002). Why are braids orderable. 1–185. 35 indexed citations
12.
Dehornoy, Patrick, et al.. (1998). Theorem proving by chain resolution. Theoretical Computer Science. 206(1-2). 163–180.
13.
Dehornoy, Patrick. (1997). Multiple left distributive systems. Commentationes Mathematicae Universitatis Carolinae. 38(4). 615–625. 1 indexed citations
14.
Dehornoy, Patrick. (1997). A Fast Method for Comparing Braids. Advances in Mathematics. 125(2). 200–235. 58 indexed citations
15.
Dehornoy, Patrick. (1996). The structure group for the associativity identity. Journal of Pure and Applied Algebra. 111(1-3). 59–82. 17 indexed citations
16.
Dehornoy, Patrick. (1994). A canonical ordering for free self-distributive systems. Proceedings of the American Mathematical Society. 122(1). 31–36. 2 indexed citations
17.
Dehornoy, Patrick. (1993). Structural monoids associated to equational varieties. Proceedings of the American Mathematical Society. 117(2). 293–304. 8 indexed citations
18.
Dehornoy, Patrick. (1993). Complexité et décidabilité. Springer eBooks.
19.
Dehornoy, Patrick. (1981). Opérateurs différentiels et courbes elliptiques. Compositio Mathematica. 43(1). 71–99. 19 indexed citations
20.
Dehornoy, Patrick. (1978). Iterated ultrapowers and prikry forcing. Annals of Mathematical Logic. 15(2). 109–160. 14 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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