Pierre Bérard

2.7k total citations
76 papers, 1.6k citations indexed

About

Pierre Bérard is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Pierre Bérard has authored 76 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 19 papers in Mathematical Physics and 17 papers in Geometry and Topology. Recurrent topics in Pierre Bérard's work include Geometric Analysis and Curvature Flows (20 papers), Spectral Theory in Mathematical Physics (8 papers) and Geometry and complex manifolds (7 papers). Pierre Bérard is often cited by papers focused on Geometric Analysis and Curvature Flows (20 papers), Spectral Theory in Mathematical Physics (8 papers) and Geometry and complex manifolds (7 papers). Pierre Bérard collaborates with scholars based in France, Brazil and Morocco. Pierre Bérard's co-authors include Gérard Besson, Sylvestre Gallot, M. Brancourt‐Hulmel, Maxime Trottet, Christophe Lecomte, Gérard Doussinault, Bernard Le Buanec, Bernard Helffer, P. Pluchard and Leopold Verstraelen and has published in prestigious journals such as Materials Science and Engineering A, Composites Science and Technology and Crop Science.

In The Last Decade

Pierre Bérard

72 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Pierre Bérard France 19 648 492 449 373 312 76 1.6k
Debra Lewis United States 19 86 0.1× 300 0.6× 105 0.2× 105 0.3× 11 0.0× 35 1.2k
Hisashi Okamoto Japan 17 231 0.4× 165 0.3× 52 0.1× 207 0.6× 8 0.0× 96 1.1k
Jiří Souček Czechia 16 475 0.7× 42 0.1× 174 0.4× 232 0.6× 12 0.0× 85 1.1k
Takaaki Nishida Japan 22 2.7k 4.1× 59 0.1× 39 0.1× 2.0k 5.4× 8 0.0× 63 3.2k
Ridgway Scott United States 21 208 0.3× 158 0.3× 18 0.0× 249 0.7× 32 0.1× 56 2.1k
Zhang Australia 13 117 0.2× 38 0.1× 39 0.1× 68 0.2× 16 0.1× 280 903
Stefan Siegmund Germany 22 351 0.5× 16 0.0× 170 0.4× 184 0.5× 3 0.0× 123 1.7k
Juan Dávila Chile 27 1.4k 2.2× 127 0.3× 64 0.1× 647 1.7× 87 2.9k
Juha Kinnunen Finland 23 1.8k 2.7× 162 0.3× 302 0.7× 710 1.9× 76 2.1k
Rafael Ortega Spain 21 813 1.3× 16 0.0× 527 1.2× 292 0.8× 129 1.6k

Countries citing papers authored by Pierre Bérard

Since Specialization
Citations

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

Fields of papers citing papers by Pierre Bérard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pierre Bérard

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre Bérard. A scholar is included among the top collaborators of Pierre Bérard 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 Bérard. Pierre Bérard 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.
Bérard, Pierre, et al.. (2021). Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders. Proceedings of the American Mathematical Society. 150(1). 439–453. 1 indexed citations
2.
Bérard, Pierre, et al.. (2021). Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip. Portugaliae Mathematica. 78(1). 1–41. 4 indexed citations
3.
Bérard, Pierre, et al.. (2020). Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders. arXiv (Cornell University). 1 indexed citations
4.
Bérard, Pierre, et al.. (2020). Courant-sharp property for Dirichlet eigenfunctions on the M\"obius strip. arXiv (Cornell University). 1 indexed citations
5.
Helffer, Bernard & Pierre Bérard. (2018). On Courant's Nodal Domain Property for Linear Combinations of Eigenfunctions. I. Documenta Mathematica. 23. 1561–1585. 4 indexed citations
6.
Bérard, Pierre & Bernard Helffer. (2016). The weak Pleijel theorem with geometric control. Journal of Spectral Theory. 6(4). 717–733. 4 indexed citations
7.
Bérard, Pierre, et al.. (2013). Remarks on the boundary set of spectral equipartitions. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 372(2007). 20120492–20120492. 6 indexed citations
8.
Bérard, Pierre & Ricardo Sá Earp. (2010). Lindelöf’s theorem for hyperbolic catenoids. Proceedings of the American Mathematical Society. 138(10). 3657–3669. 5 indexed citations
9.
Oury, François‐Xavier, Pierre Bérard, M. Brancourt‐Hulmel, et al.. (2003). Yield and grain protein concentration in bread wheat: a review and a study of multi-annual data from a French breeding program [Triticum aestivum L.]. Journal of genetics & breeding. 11 indexed citations
10.
Bérard, Pierre, M. Brancourt‐Hulmel, Gérard Doussinault, et al.. (2003). Yield and grain protein concentration in bread wheat : a review and a study of multi-annual data from a French breeding program. HAL (Le Centre pour la Communication Scientifique Directe). 70 indexed citations
11.
Robert, Nathalie, et al.. (2001). Dry matter and nitrogen accumulation in wheat kernel. Genetic variation in rate and duration of grain filling [Triticum aestivum L.]. Journal of genetics & breeding. 24 indexed citations
12.
Bérard, Pierre, et al.. (2000). Eigenvalue and “Twisted” eigenvalue problems, applications to CMC surfaces. Journal de Mathématiques Pures et Appliquées. 79(5). 427–450. 28 indexed citations
13.
Bérard, Pierre & Laurent Hauswirth. (1999). General curvature estimates for stable H-surfaces immersed into a space form. Journal de Mathématiques Pures et Appliquées. 78(7). 667–700. 1 indexed citations
14.
Triboı̈, E., et al.. (1995). Étude des flux de carbone et d'azote chez des blés hybrides et leurs parents, pendant la période de remplissage des grains. Agronomie. 15(3-4). 193–204. 12 indexed citations
15.
Bérard, Pierre. (1994). Simons' equation revisited. Anais da Academia Brasileira de Ciências. 66(4). 397–403. 7 indexed citations
16.
Bérard, Pierre & Gérard Besson. (1990). Number of bound states and estimates on some geometric invariants. Journal of Functional Analysis. 94(2). 375–396. 17 indexed citations
17.
Bérard, Pierre. (1989). Variétés riemanniennes isospectrales non isométriques. Astérisque. 31. 127–154. 19 indexed citations
18.
Bérard, Pierre. (1985). Lectures on spectral geometry : [some aspects of direct problems in spectral geometry]. 1 indexed citations
19.
Bérard, Pierre & Sylvestre Gallot. (1984). Inégalités isopérimétriques pour l'équation de la chaleur et application à l'estimation de quelques invariants. French digital mathematics library (Numdam). 1–34. 8 indexed citations
20.
Bérard, Pierre. (1983). Remarques sur la conjecture de Weyl. Compositio Mathematica. 48(1). 35–53. 9 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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