Arnaud Debussche
Impact in
- Mathematical Physics top 0.2%
- Advanced Mathematical Physics Problems
- Stochastic processes and statistical mechanics
- Numerical Analysis top 0.5%
- Numerical methods for differential equations
Papers in
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- Advanced Mathematical Physics Problems 39
- Stochastic processes and statistical mechanics 27
- Mathematical Dynamics and Fractals 13
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- Navier-Stokes equation solutions 27
- Nonlinear Partial Differential Equations 14
- Co-authors
- Giuseppe Da Prato (21 shared papers)Anne de Bouard (20 shared papers)Franco Flandoli (1 shared paper)Hans Crauel (1 shared paper)Roger Témam (9 shared papers)Julien Vovelle (10 shared papers)Jacques Printems (4 shared papers)Martina Hofmanová (5 shared papers)
In The Last Decade
Arnaud Debussche
119 papers receiving 4.5k citations
Arnaud Debussche's Hit Papers
Peers
Comparison fields: 5 of 50
- Mathematical Physics 1.8k
- Numerical Analysis 647
- Applied Mathematics 1.7k
- Finance 572
- Control and Systems Engineering 1.1k
Countries citing papers authored by Arnaud Debussche
This map shows the geographic impact of Arnaud Debussche'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 Arnaud Debussche with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arnaud Debussche more than expected).
Fields of papers citing papers by Arnaud Debussche
This network shows the impact of papers produced by Arnaud Debussche. 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 Arnaud Debussche. The network helps show where Arnaud Debussche may publish in the future.
Co-authors
The 25 scholars most cited alongside Arnaud Debussche, 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 123 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Random attractors Hit paper breakdown → | 1997 | 592 |
| 2 | 1994 | 188 | |
| 3 | 2003 | 182 | |
| 4 | 2003 | 141 | |
| 5 | 2003 | 140 | |
| 6 | 1996 | 139 | |
| 7 | 2002 | 137 | |
| 8 | 1999 | 130 | |
| 9 | 2011 | 114 | |
| 10 | 1995 | 108 | |
| 11 | 1999 | 108 | |
| 12 | 1998 | 107 | |
| 13 | 2010 | 105 | |
| 14 | 1998 | 92 | |
| 15 | 2010 | 91 | |
| 16 | 1999 | 86 | |
| 17 | 3 DEGENERATE PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: QUASILINEAR CASE | 2013 | 84 |
| 18 | 2002 | 79 | |
| 19 | 2008 | 76 | |
| 20 | 2016 | 74 |
About Arnaud Debussche
Arnaud Debussche is a scholar working on Mathematical Physics, Applied Mathematics, Numerical Analysis, Finance and Control and Systems Engineering, having authored 123 papers that have together received 4.9k indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (39 papers), Stochastic processes and statistical mechanics (27 papers), Navier-Stokes equation solutions (27 papers), Stability and Controllability of Differential Equations (21 papers), Stochastic processes and financial applications (16 papers), Nonlinear Partial Differential Equations (14 papers), Mathematical Dynamics and Fractals (13 papers) and Numerical methods for differential equations (11 papers). The work is most often cited by research in Mathematical Physics (1.8k citations), Numerical Analysis (647 citations), Applied Mathematics (1.7k citations), Finance (572 citations) and Control and Systems Engineering (1.1k citations). Arnaud Debussche has collaborated with scholars based in France, Italy and Germany. Frequent co-authors include Giuseppe Da Prato, Anne de Bouard, Franco Flandoli, Hans Crauel, Roger Témam, Julien Vovelle, Jacques Printems, Martina Hofmanová, Yoshio Tsutsumi and Guiseppe Da Prato. Their work appears in journals such as Journal of Functional Analysis, Stochastic Partial Differential Equations Analysis and Computations, Physica D Nonlinear Phenomena, Probability Theory and Related Fields and Applied Mathematics Letters.
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.