Arnaud Debussche
- Finance top 0.5%
- Stochastic processes and financial applications 62
- Mathematical Physics top 0.5%
- Advanced Mathematical Physics Problems 26
- Stochastic processes and statistical mechanics 11
- Applied Mathematics top 0.5%
- Navier-Stokes equation solutions 18
- Computational Theory and Mathematics top 0.2%
- Advanced Mathematical Modeling in Engineering 17
- Modeling and Simulation top 1%
- Mathematical Biology Tumor Growth 20
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- Stability and Controllability of Differential Equations 23
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- Fluid Dynamics and Turbulent Flows 19
- Co-authors
- Giuseppe Da PratoAnne de BouardHans CrauelFranco FlandoliRoger TémamJacques PrintemsJulien VovelleGuiseppe Da Prato
- Journals
- Journal of Functional Analysis (7 papers)Probability Theory and Related Fields (5 papers)Physica D Nonlinear Phenomena (5 papers)
- Partner nations
- FranceItalyUnited States
In The Last Decade
Arnaud Debussche
105 papers receiving 3.6k citations
Hit Papers
Peers
Comparison fields: 5 of 75
- Finance 1.7k
- Mathematical Physics 1.3k
- Applied Mathematics 958
- Computational Theory and Mathematics 1.3k
- Modeling and Simulation 332
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-authorship network
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
| # | Work | ||
|---|---|---|---|
| 1 | 2024 | 2 | |
| 2 | 2020 | 1 | |
| 3 | 2019 | 1 | |
| 4 | 2018 | 28 | |
| 5 | 2016 | 13 | |
| 6 | Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case | 2016 | 58 |
| 7 | 2015 | 3 | |
| 8 | 2015 | 4 | |
| 9 | 2013 | 26 | |
| 10 | 2010 | 32 | |
| 11 | 2009 | 52 | |
| 12 | 2003 | 119 | |
| 13 | 2002 | 106 | |
| 14 | 2002 | 18 | |
| 15 | 2000 | 10 | |
| 16 | 1999 | 81 | |
| 17 | Differentiability of the transition semigroup of the stochastic Burgers equation, and application to the corresponding Hamilton-Jacobi equation | 1998 | 13 |
| 18 | 1998 | 85 | |
| 19 | 1998 | 99 | |
| 20 | 1992 | 38 |
About Arnaud Debussche
Arnaud Debussche is a scholar working on Finance, Modeling and Simulation, Mathematical Physics, Applied Mathematics and Numerical Analysis, having authored 109 papers that have together received 3.9k indexed citations. Recurring topics across this work include Stochastic processes and financial applications (62 papers), Advanced Mathematical Physics Problems (26 papers), Stability and Controllability of Differential Equations (23 papers), Mathematical Biology Tumor Growth (20 papers), Fluid Dynamics and Turbulent Flows (19 papers), Navier-Stokes equation solutions (18 papers), Advanced Mathematical Modeling in Engineering (17 papers) and Stochastic processes and statistical mechanics (11 papers). The work is most often cited by research in Finance (1.7k citations), Mathematical Physics (1.3k citations), Applied Mathematics (958 citations), Computational Theory and Mathematics (1.3k citations) and Modeling and Simulation (332 citations). Arnaud Debussche has collaborated with scholars based in France, Italy and United States. Frequent co-authors include Giuseppe Da Prato, Anne de Bouard, Hans Crauel, Franco Flandoli, Roger Témam, Jacques Printems, Julien Vovelle, Guiseppe Da Prato, Yoshio Tsutsumi and Laurent Di Menza. Their work appears in journals such as Journal of Functional Analysis, Probability Theory and Related Fields, Physica D Nonlinear Phenomena, Journal de Mathématiques Pures et Appliquées and Stochastic Partial Differential Equations Analysis and Computations.
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.