Patrick Bernard
Impact in
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- Quantum chaos and dynamical systems
- Nonlinear Waves and Solitons
- Mathematical Physics top 5%
- Mathematical Dynamics and Fractals
Papers in
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- Quantum chaos and dynamical systems 18
- Nonlinear Waves and Solitons 7
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- Advanced Differential Equations and Dynamical Systems 9
- Geometry and complex manifolds 7
- Geometric and Algebraic Topology 4
- Co-authors
- Boris Buffoni (3 shared papers)Jean‐Michel Roquejoffre (1 shared paper)Richard D. Gill (1 shared paper)M. Taazount (1 shared paper)Dominique Bakry (1 shared paper)Stanislav Molchanov (1 shared paper)Ross W. Lambert (1 shared paper)Michel Fogli (1 shared paper)
- Journals
- Probabilistic Engineering Mechanics (3 papers)Bulletin de la Société mathématique de France (1 paper)Annales de l’institut Fourier (1 paper)Journal de l’École polytechnique — Mathématiques (1 paper)Discrete and Continuous Dynamical Systems (1 paper)
- Partner nations
- FranceBurundiSwitzerland
In The Last Decade
Patrick Bernard
38 papers receiving 536 citations
Peers
Comparison fields: 5 of 53
- Statistical and Nonlinear Physics 331
- Mathematical Physics 241
- Geometry and Topology 212
- Applied Mathematics 161
- Statistics, Probability and Uncertainty 39
Countries citing papers authored by Patrick Bernard
This map shows the geographic impact of Patrick Bernard'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 Bernard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick Bernard more than expected).
Fields of papers citing papers by Patrick Bernard
This network shows the impact of papers produced by Patrick Bernard. 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 Bernard. The network helps show where Patrick Bernard may publish in the future.
Co-authors
The 10 scholars most cited alongside Patrick Bernard, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 39 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2007 | 78 | |
| 2 | 2008 | 58 | |
| 3 | 2007 | 52 | |
| 4 | 2002 | 47 | |
| 5 | 2008 | 35 | |
| 6 | 2008 | 31 | |
| 7 | Lectures on probability theory | 1994 | 27 |
| 8 | 2016 | 21 | |
| 9 | 2004 | 19 | |
| 10 | 2006 | 16 | |
| 11 | 2000 | 16 | |
| 12 | 2015 | 14 | |
| 13 | 2002 | 14 | |
| 14 | 2010 | 14 | |
| 15 | 1997 | 14 | |
| 16 | 2007 | 11 | |
| 17 | 2004 | 10 | |
| 18 | 2002 | 10 | |
| 19 | 1994 | 9 | |
| 20 | 1999 | 9 |
About Patrick Bernard
Patrick Bernard is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology, Mathematical Physics, Applied Mathematics and Statistics, Probability and Uncertainty, having authored 39 papers that have together received 575 indexed citations. Recurring topics across this work include Quantum chaos and dynamical systems (18 papers), Mathematical Dynamics and Fractals (10 papers), Advanced Differential Equations and Dynamical Systems (9 papers), Geometry and complex manifolds (7 papers), Geometric Analysis and Curvature Flows (7 papers), Nonlinear Waves and Solitons (7 papers), Probabilistic and Robust Engineering Design (5 papers) and Geometric and Algebraic Topology (4 papers). The work is most often cited by research in Statistical and Nonlinear Physics (331 citations), Mathematical Physics (241 citations), Geometry and Topology (212 citations), Applied Mathematics (161 citations) and Statistics, Probability and Uncertainty (39 citations). Patrick Bernard has collaborated with scholars based in France, Burundi and Switzerland. Frequent co-authors include Boris Buffoni, Jean‐Michel Roquejoffre, Richard D. Gill, M. Taazount, Dominique Bakry, Stanislav Molchanov, Ross W. Lambert, Michel Fogli, Ugo Bessi and Eric Lombardi. Their work appears in journals such as Probabilistic Engineering Mechanics, Bulletin de la Société mathématique de France, Annales de l’institut Fourier, Journal de l’École polytechnique — Mathématiques and Discrete and Continuous Dynamical Systems.
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.