Arnaud Debussche

6.4k total citations · 1 hit paper
109 papers, 3.9k citations indexed

About

Arnaud Debussche is a scholar working on Finance, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Arnaud Debussche has authored 109 papers receiving a total of 3.9k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Finance, 40 papers in Mathematical Physics and 29 papers in Applied Mathematics. Recurrent topics in Arnaud Debussche's work include Stochastic processes and financial applications (62 papers), Advanced Mathematical Physics Problems (26 papers) and Stability and Controllability of Differential Equations (23 papers). Arnaud Debussche is often cited by papers focused on Stochastic processes and financial applications (62 papers), Advanced Mathematical Physics Problems (26 papers) and Stability and Controllability of Differential Equations (23 papers). Arnaud Debussche collaborates with scholars based in France, Italy and United States. Arnaud Debussche's 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 and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Communications in Mathematical Physics.

In The Last Decade

Arnaud Debussche

105 papers receiving 3.6k citations

Hit Papers

Random attractors 1997 2026 2006 2016 1997 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Random attractors
    1997 557 citations Arnaud Debussche et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arnaud Debussche France 34 1.7k 1.3k 1.3k 1.3k 958 109 3.9k
Franco Flandoli Italy 35 2.4k 1.4× 2.4k 1.8× 2.7k 2.1× 1.2k 0.9× 1.8k 1.9× 185 5.5k
Martin Hairer United Kingdom 29 1.5k 0.8× 587 0.4× 450 0.3× 1.2k 0.9× 640 0.7× 86 2.8k
Zdzisław Brzeźniak United Kingdom 30 1.5k 0.9× 953 0.7× 803 0.6× 800 0.6× 854 0.9× 112 2.4k
Guiseppe Da Prato Italy 5 1.5k 0.9× 854 0.6× 1.1k 0.8× 623 0.5× 992 1.0× 6 2.5k
Michael Röckner Germany 43 3.9k 2.3× 2.7k 2.0× 1.5k 1.1× 3.7k 2.9× 3.1k 3.2× 309 7.7k
Tusheng Zhang United Kingdom 26 2.2k 1.2× 743 0.6× 617 0.5× 824 0.6× 798 0.8× 128 3.1k
Giuseppe Da Prato Italy 41 4.1k 2.4× 3.6k 2.7× 3.9k 2.9× 2.6k 2.0× 3.5k 3.7× 258 9.1k
Alessandra Lunardi Italy 21 371 0.2× 1.6k 1.2× 1.2k 0.9× 1.2k 0.9× 2.0k 2.1× 81 3.3k
В. И. Богачев Russia 28 1.1k 0.6× 1.1k 0.8× 408 0.3× 1.8k 1.4× 1.7k 1.8× 226 3.9k
Gopinath Kallianpur United States 10 1.9k 1.1× 636 0.5× 456 0.3× 1.2k 1.0× 734 0.8× 21 3.4k

Countries citing papers authored by Arnaud Debussche

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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 of co-authors of Arnaud Debussche

This figure shows the co-authorship network connecting the top 25 collaborators of Arnaud Debussche. A scholar is included among the top collaborators of Arnaud Debussche 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 Arnaud Debussche. Arnaud Debussche 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.
Debussche, Arnaud, et al.. (2024). Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. Probability Theory and Related Fields. 189(3-4). 1161–1218. 2 indexed citations
2.
Debussche, Arnaud, et al.. (2020). A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene\n Network. arXiv (Cornell University). 1 indexed citations
3.
Debussche, Arnaud, et al.. (2019). A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network. The International Journal of Biostatistics. 15(2). 1 indexed citations
4.
Bréhier, Charles-Édouard & Arnaud Debussche. (2018). Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient. Journal de Mathématiques Pures et Appliquées. 119. 193–254. 28 indexed citations
5.
Cerrai, Sandra & Arnaud Debussche. (2016). Large deviations for the two-dimensional stochastic Navier-Stokes\n equation with vanishing noise correlation. arXiv (Cornell University). 13 indexed citations
6.
Debussche, Arnaud, Martina Hofmanová, & Julien Vovelle. (2016). Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case. HAL (Le Centre pour la Communication Scientifique Directe). 58 indexed citations
7.
Prato, Giuseppe Da & Arnaud Debussche. (2015). An integral inequality for the invariant measure of a stochastic\n reaction--diffusion equation. arXiv (Cornell University). 3 indexed citations
8.
Debussche, Arnaud, et al.. (2015). Diffusion limit for the radiative transfer equation perturbed by a Wiener process. Kinetic and Related Models. 8(3). 467–492. 4 indexed citations
9.
Debussche, Arnaud & Nicolas Fournier. (2013). Existence of densities for stable-like driven SDEʼs with Hölder continuous coefficients. Journal of Functional Analysis. 264(8). 1757–1778. 26 indexed citations
10.
Bouard, Anne de & Arnaud Debussche. (2010). The nonlinear Schrödinger equation with white noise dispersion. Journal of Functional Analysis. 259(5). 1300–1321. 32 indexed citations
11.
Debussche, Arnaud, et al.. (2009). Hybrid stochastic simplifications for multiscale gene networks. BMC Systems Biology. 3(1). 89–89. 52 indexed citations
12.
Prato, Giuseppe Da & Arnaud Debussche. (2003). Ergodicity for the 3D stochastic Navier–Stokes equations. Journal de Mathématiques Pures et Appliquées. 82(8). 877–947. 119 indexed citations
13.
Prato, Giuseppe Da & Arnaud Debussche. (2002). Two-Dimensional Navier–Stokes Equations Driven by a Space–Time White Noise. Journal of Functional Analysis. 196(1). 180–210. 106 indexed citations
14.
Debussche, Arnaud & Laurent Di Menza. (2002). Numerical resolution of stochastic focusing NLS equations. Applied Mathematics Letters. 15(6). 661–669. 18 indexed citations
15.
Prato, Giuseppe Da & Arnaud Debussche. (2000). Dynamic programming for the stochastic burgers equation. Annali di Matematica Pura ed Applicata (1923 -). 178(1). 143–174. 10 indexed citations
16.
Bouard, Anne de, Arnaud Debussche, & Yoshio Tsutsumi. (1999). White Noise Driven Korteweg–de Vries Equation. Journal of Functional Analysis. 169(2). 532–558. 81 indexed citations
17.
Prato, Giuseppe Da & Arnaud Debussche. (1998). Differentiability of the transition semigroup of the stochastic Burgers equation, and application to the corresponding Hamilton-Jacobi equation. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 9(4). 267–277. 13 indexed citations
18.
Debussche, Arnaud. (1998). Hausdorff dimension of a random invariant set. Journal de Mathématiques Pures et Appliquées. 77(10). 967–988. 85 indexed citations
19.
Bouard, Anne de & Arnaud Debussche. (1998). On the Stochastic Korteweg–de Vries Equation. Journal of Functional Analysis. 154(1). 215–251. 99 indexed citations
20.
Debussche, Arnaud & Martine Marion. (1992). On the construction of families of approximate inertial manifolds. Journal of Differential Equations. 100(1). 173–201. 38 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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