Frédéric Bernicot

836 total citations
51 papers, 360 citations indexed

About

Frédéric Bernicot is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Frédéric Bernicot has authored 51 papers receiving a total of 360 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Applied Mathematics, 33 papers in Mathematical Physics and 8 papers in Computational Theory and Mathematics. Recurrent topics in Frédéric Bernicot's work include Advanced Harmonic Analysis Research (30 papers), Advanced Mathematical Physics Problems (17 papers) and Nonlinear Partial Differential Equations (17 papers). Frédéric Bernicot is often cited by papers focused on Advanced Harmonic Analysis Research (30 papers), Advanced Mathematical Physics Problems (17 papers) and Nonlinear Partial Differential Equations (17 papers). Frédéric Bernicot collaborates with scholars based in France, United States and China. Frédéric Bernicot's co-authors include Pierre Germain, Ismaël Bailleul, Diego Maldonado, Virginia Naibo, Rodolfo H. Torres, Árpád Bényi, Kabe Moen, Sahbi Keraani, Thierry Coulhon and Emmanuel Russ and has published in prestigious journals such as Transactions of the American Mathematical Society, Archive for Rational Mechanics and Analysis and SIAM Journal on Control and Optimization.

In The Last Decade

Frédéric Bernicot

46 papers receiving 339 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frédéric Bernicot France 11 298 267 52 28 20 51 360
Camil Muscalu United States 13 590 2.0× 437 1.6× 44 0.8× 17 0.6× 53 2.6× 27 644
Bruno Nazaret France 10 318 1.1× 137 0.5× 126 2.4× 14 0.5× 18 0.9× 18 355
Marco Bramanti Italy 14 532 1.8× 325 1.2× 224 4.3× 18 0.6× 10 0.5× 34 578
Masanori Hino Japan 13 215 0.7× 246 0.9× 124 2.4× 11 0.4× 15 0.8× 24 365
Alexandre Almeida Portugal 13 690 2.3× 421 1.6× 51 1.0× 21 0.8× 44 2.2× 26 720
Clayton Bjorland United States 8 191 0.6× 105 0.4× 85 1.6× 51 1.8× 10 0.5× 10 208
Emmanuel Russ France 14 522 1.8× 348 1.3× 94 1.8× 18 0.6× 15 0.8× 34 559
Alberto Venni Italy 5 291 1.0× 195 0.7× 160 3.1× 67 2.4× 24 1.2× 13 359
Kunihiko Kajitani Japan 10 212 0.7× 222 0.8× 40 0.8× 94 3.4× 20 1.0× 40 279
Pedro J. Miana Spain 9 248 0.8× 147 0.6× 38 0.7× 31 1.1× 20 1.0× 57 296

Countries citing papers authored by Frédéric Bernicot

Since Specialization
Citations

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

Fields of papers citing papers by Frédéric Bernicot

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frédéric Bernicot

This figure shows the co-authorship network connecting the top 25 collaborators of Frédéric Bernicot. A scholar is included among the top collaborators of Frédéric Bernicot 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 Frédéric Bernicot. Frédéric Bernicot 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.
Bailleul, Ismaël & Frédéric Bernicot. (2019). HIGH ORDER PARACONTROLLED CALCULUS. Forum of Mathematics Sigma. 7. 15 indexed citations
2.
Bailleul, Ismaël, et al.. (2018). Space-times paraproducts for paracontrolled calculus, 3d-PAM and multiplicative Burgers equations. Annales Scientifiques de l École Normale Supérieure. 6(51). 1399–1456. 11 indexed citations
3.
Bernicot, Frédéric, et al.. (2018). Conservation de certaines propriétés à travers un contrôle épars d’un opérateur et applications au projecteur de Leray–Hopf. Annales de l’institut Fourier. 68(6). 2329–2379. 11 indexed citations
4.
Bernicot, Frédéric, et al.. (2016). Gaussian heat kernel bounds through elliptic Moser iteration. Journal de Mathématiques Pures et Appliquées. 106(6). 995–1037. 9 indexed citations
5.
Bailleul, Ismaël & Frédéric Bernicot. (2016). Heat semigroup and singular PDEs. Journal of Functional Analysis. 270(9). 3344–3452. 19 indexed citations
6.
Bernicot, Frédéric & José María Martell. (2014). Self-improving properties for abstract Poincaré type inequalities. Transactions of the American Mathematical Society. 367(7). 4793–4835. 2 indexed citations
7.
Bernicot, Frédéric & Yannick Sire. (2013). Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 30(5). 935–958. 6 indexed citations
8.
Bernicot, Frédéric & Juliette Venel. (2013). Convergence Order of a Numerical Scheme for Sweeping Process. SIAM Journal on Control and Optimization. 51(4). 3075–3092. 1 indexed citations
9.
Bernicot, Frédéric & Pierre Germain. (2013). Bilinear dispersive estimates via space-time resonances, I: The one-dimensional case. Analysis & PDE. 6(3). 687–722. 7 indexed citations
10.
Bernicot, Frédéric. (2012). A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts. Transactions of the American Mathematical Society. 364(11). 6071–6108. 12 indexed citations
11.
Bernicot, Frédéric & Juliette Venel. (2012). Existence of solutions for second-order differential inclusions involving proximal normal cones. Journal de Mathématiques Pures et Appliquées. 98(3). 257–294. 4 indexed citations
12.
Bernicot, Frédéric, et al.. (2012). Algebra properties for Sobolev spaces — applications to semilinear PDEs on manifolds. Journal d Analyse Mathématique. 118(2). 509–544. 14 indexed citations
13.
Bernicot, Frédéric, et al.. (2010). A 2-adic approach of the human respiratory tree. Networks and Heterogeneous Media. 5(3). 405–422. 5 indexed citations
14.
Bernicot, Frédéric & Aline Lefebvre-Lepot. (2010). Existence results for nonsmooth second-order differential inclusions, convergence result for a numerical scheme and application to the modeling of inelastic collisions. HAL (Le Centre pour la Communication Scientifique Directe). 2(4). 445–471. 4 indexed citations
15.
Bernicot, Frédéric & Pierre Germain. (2009). Bilinear oscillatory integrals and boundedness for new bilinear\n multipliers. arXiv (Cornell University). 17 indexed citations
16.
Bernicot, Frédéric. (2009). Perturbation stochastique de processus de rafle. French digital mathematics library (Numdam). 1–13.
17.
Bernicot, Frédéric, et al.. (2009). On maximalLp-regularity. Journal of Functional Analysis. 256(8). 2561–2586. 6 indexed citations
18.
Bernicot, Frédéric. (2009). A Bilinear Pseudodifferential Calculus. Journal of Geometric Analysis. 20(1). 39–62. 6 indexed citations
19.
Bernicot, Frédéric. (2008). Use of Hardy spaces and interpolation. Comptes Rendus Mathématique. 346(13-14). 745–748. 4 indexed citations
20.
Auscher, Pascal, et al.. (2008). Maximal regularity and hardy spaces. Collectanea mathematica. 59(1). 103–127. 1 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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