André Avez

2.5k total citations · 1 hit paper
13 papers, 1.7k citations indexed

About

André Avez is a scholar working on Geometry and Topology, Astronomy and Astrophysics and Applied Mathematics. According to data from OpenAlex, André Avez has authored 13 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 5 papers in Geometry and Topology, 4 papers in Astronomy and Astrophysics and 4 papers in Applied Mathematics. Recurrent topics in André Avez's work include Mathematics and Applications (3 papers), Advanced Differential Geometry Research (3 papers) and Geometric Analysis and Curvature Flows (3 papers). André Avez is often cited by papers focused on Mathematics and Applications (3 papers), Advanced Differential Geometry Research (3 papers) and Geometric Analysis and Curvature Flows (3 papers). André Avez collaborates with scholars based in United States, France and Argentina. André Avez's co-authors include Владимир Игоревич Арнольд and André Lichnerowicz and has published in prestigious journals such as Proceedings of the National Academy of Sciences, American Mathematical Monthly and Journal of Differential Geometry.

In The Last Decade

André Avez

12 papers receiving 1.5k citations

Hit Papers

Ergodic problems of classical mechanics 1968 2026 1987 2006 1968 400 800 1.2k
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. Ergodic problems of classical mechanics
    1968 1.3k citations Владимир Игоревич Арнольд, André Avez profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
André Avez United States 8 965 420 261 216 201 13 1.7k
A. Voros France 21 1.5k 1.6× 429 1.0× 1.1k 4.2× 46 0.2× 179 0.9× 34 2.4k
Franco Vivaldi United Kingdom 22 1.2k 1.2× 639 1.5× 211 0.8× 77 0.4× 254 1.3× 71 1.6k
I. P. Cornfeld 2 789 0.8× 1.2k 2.8× 127 0.5× 45 0.2× 167 0.8× 2 2.0k
Hans Zassenhaus United States 24 664 0.7× 606 1.4× 160 0.6× 74 0.3× 75 0.4× 122 3.0k
Harley Flanders United States 18 231 0.2× 207 0.5× 137 0.5× 78 0.4× 133 0.7× 98 1.7k
M. L. Mehta France 21 738 0.8× 569 1.4× 504 1.9× 33 0.2× 53 0.3× 50 1.9k
Silvio Levy Brazil 12 494 0.5× 404 1.0× 144 0.6× 60 0.3× 32 0.2× 17 1.6k
R. Delbourgo Australia 30 551 0.6× 193 0.5× 512 2.0× 53 0.2× 30 0.1× 198 3.2k
Francesco Guerra Italy 20 743 0.8× 478 1.1× 634 2.4× 50 0.2× 75 0.4× 87 1.8k
E. R. Caianiello Italy 20 539 0.6× 82 0.2× 570 2.2× 40 0.2× 59 0.3× 107 1.8k

Countries citing papers authored by André Avez

Since Specialization
Citations

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

Fields of papers citing papers by André Avez

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of André Avez

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

All Works

13 of 13 papers shown
1.
Avez, André. (1993). A Short Proof of a Theorem of Erdos and Mordell. American Mathematical Monthly. 100(1). 60–60. 12 indexed citations
2.
Avez, André, et al.. (1976). Flusso geodetico sul fibrato unitario tangente di una superficie. Rendiconti del Circolo Matematico di Palermo Series 2. 25(3). 176–182. 6 indexed citations
3.
Avez, André, et al.. (1974). Sur l'algèbre des automorphismes infinitésimaux d'une variété symplectique. Journal of Differential Geometry. 9(1). 26 indexed citations
4.
Avez, André. (1972). Riemannian manifolds with non-negative Ricci curvature. Duke Mathematical Journal. 39(1). 7 indexed citations
5.
Avez, André. (1970). Characteristic Classes and Weyl Tensor: Applications to General Relativity. Proceedings of the National Academy of Sciences. 66(2). 265–268. 20 indexed citations
6.
Арнольд, Владимир Игоревич & André Avez. (1968). Ergodic problems of classical mechanics. 1332 indexed citations breakdown →
7.
Арнольд, Владимир Игоревич & André Avez. (1967). Problèmes ergodiques de la mécanique classique. Gauthier-Villars eBooks. 150 indexed citations
8.
Avez, André. (1966). Ergodic theory of dynamical systems. Medical Entomology and Zoology. 21 indexed citations
9.
Avez, André. (1964). Le ds2 de Schwarzschild parmi les ds2 stationnaires. French digital mathematics library (Numdam). 1(3). 291–300. 4 indexed citations
10.
Avez, André. (1963). Formule de Gauss-Bonnet-Chern en métrique de signature quelconque. Revista de la Unión Matemática Argentina. 21(4). 191–197. 25 indexed citations
11.
Avez, André. (1963). Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale. Annales de l’institut Fourier. 13(2). 105–190. 47 indexed citations
12.
Avez, André. (1962). Modèle d'univers stationnaire sans section d'espace globale. French digital mathematics library (Numdam). 5. 1–8. 1 indexed citations
13.
Avez, André. (1959). Ondes monochromatiques et effet Doppler en relativité générale. Persée (Ministère de lEnseignement supérieur et de la Recherche). 23(1). 273–294.

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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