Bernard Helffer

7.9k citations
260 papers · 4.6k · h-index 36

Impact in

    • Spectral Theory in Mathematical Physics
    • Numerical methods in inverse problems
    • Advanced Mathematical Physics Problems
    • Nonlinear Partial Differential Equations

Papers in

Bernard Helffer

240 papers receiving 4.2k citations

Peers

Bernard Helffer
Comparison fields: 5 of 68
  • Mathematical Physics 3.4k
  • Applied Mathematics 1.3k
  • Statistical and Nonlinear Physics 1.4k
  • Computational Theory and Mathematics 1.6k
  • Geometry and Topology 391
Replace Johannes Sjöstrand with:
Johannes Sjöstrand France
Maciej Zworski United States
Raphaël Høegh-Krohn Norway
Fritz Gesztesy United States
И. В. Волович Russia
Michael Loss United States
Leonard Gross United States
Pavel Exner Czechia
J. Ginibre France
Eric A. Carlen United States
Bernard Helffer relative to Johannes Sjöstrand France Johannes Sjöstrand's profile →
Citations per field
00.5×
Johannes Sjöstrand · 1×
Citations per year

Countries citing papers authored by Bernard Helffer

Since Specialization
Citations

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

Fields of papers citing papers by Bernard Helffer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Bernard Helffer, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Bernard Helffer Line = papers co-authored together Bernard Helffer links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 260 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1984308
2 1988202
3 2005177
4 1989168
5 2010132
6 1986116
7 2001110
8 1987109
9 1983102
10
Théorie spectrale pour des opérateurs globalement elliptiques
198498
11 198595
12 199386
13 200779
14 197975
15 199471
16 198070
17 199668
18 201355
19 197552
20 198952

About Bernard Helffer

Bernard Helffer is a scholar working on Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Statistical and Nonlinear Physics and Condensed Matter Physics, having authored 260 papers that have together received 4.6k indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (141 papers), Advanced Mathematical Modeling in Engineering (95 papers), Numerical methods in inverse problems (60 papers), Quantum chaos and dynamical systems (51 papers), Theoretical and Computational Physics (22 papers), Nonlinear Partial Differential Equations (21 papers), advanced mathematical theories (15 papers) and Holomorphic and Operator Theory (14 papers). The work is most often cited by research in Mathematical Physics (3.4k citations), Applied Mathematics (1.3k citations), Statistical and Nonlinear Physics (1.4k citations), Computational Theory and Mathematics (1.6k citations) and Geometry and Topology (391 citations). Bernard Helffer has collaborated with scholars based in France, United States and Denmark. Frequent co-authors include Johannes Sjöstrand, Didier Robert, Francis Nier, Jean Nourrigat, Thomas Hoffmann-Ostenhof, Søren Fournais, Monique Dauge, D. Robert, Susanna Terracini and A. Martinez. Their work appears in journals such as Lecture notes in mathematics, Journal of Functional Analysis, Communications in Mathematical Physics, Communications in Partial Differential Equations and Asymptotic Analysis.

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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