Ivan Gentil

2.6k total citations · 1 hit paper
51 papers, 1.3k citations indexed

About

Ivan Gentil is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Ivan Gentil has authored 51 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Applied Mathematics, 14 papers in Mathematical Physics and 10 papers in Computational Theory and Mathematics. Recurrent topics in Ivan Gentil's work include Nonlinear Partial Differential Equations (28 papers), Geometric Analysis and Curvature Flows (28 papers) and Advanced Mathematical Modeling in Engineering (8 papers). Ivan Gentil is often cited by papers focused on Nonlinear Partial Differential Equations (28 papers), Geometric Analysis and Curvature Flows (28 papers) and Advanced Mathematical Modeling in Engineering (8 papers). Ivan Gentil collaborates with scholars based in France, United Kingdom and United States. Ivan Gentil's co-authors include Michel Ledoux, Dominique Bakry, François Bolley, Arnaud Guillin, Sergey G. Bobkov, Jean Dolbeault, Laurent Miclo, Manuel del Pino, Christian Léonard and Cyril Imbert and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Archive for Rational Mechanics and Analysis and Journal of Functional Analysis.

In The Last Decade

Ivan Gentil

48 papers receiving 1.2k citations

Hit Papers

Analysis and Geometry of Markov Diffusion Operators 2013 2026 2017 2021 2013 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. Analysis and Geometry of Markov Diffusion Operators
    2013 518 citations Dominique Bakry, Ivan Gentil 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
Ivan Gentil France 16 895 396 271 213 206 51 1.3k
Dominique Bakry France 16 1.1k 1.2× 473 1.2× 300 1.1× 348 1.6× 261 1.3× 34 1.6k
Patrick Cattiaux France 19 509 0.6× 436 1.1× 404 1.5× 72 0.3× 149 0.7× 53 1.1k
Mu-Fa Chen China 19 392 0.4× 512 1.3× 447 1.6× 114 0.5× 252 1.2× 67 1.1k
K. D. Elworthy United Kingdom 16 572 0.6× 527 1.3× 76 0.3× 213 1.0× 283 1.4× 43 1.3k
Martin T. Barlow Canada 19 653 0.7× 1.1k 2.9× 143 0.5× 221 1.0× 529 2.6× 44 1.7k
Ricardo Estrada United States 16 419 0.5× 376 0.9× 82 0.3× 72 0.3× 162 0.8× 93 960
Leonard Gross United States 22 1.3k 1.5× 1.4k 3.5× 293 1.1× 276 1.3× 551 2.7× 51 2.5k
François Bolley France 13 344 0.4× 171 0.4× 168 0.6× 74 0.3× 54 0.3× 24 787
Masayoshi Takeda Japan 15 898 1.0× 1.4k 3.5× 292 1.1× 244 1.1× 645 3.1× 52 2.0k
Gerald A. Edgar United States 18 347 0.4× 818 2.1× 139 0.5× 289 1.4× 305 1.5× 51 1.4k

Countries citing papers authored by Ivan Gentil

Since Specialization
Citations

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

Fields of papers citing papers by Ivan Gentil

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ivan Gentil

This figure shows the co-authorship network connecting the top 25 collaborators of Ivan Gentil. A scholar is included among the top collaborators of Ivan Gentil 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 Ivan Gentil. Ivan Gentil 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.
Gentil, Ivan, et al.. (2024). On the variational interpretation of local logarithmic Sobolev inequalities. Annales de la faculté des sciences de Toulouse Mathématiques. 32(5). 823–837.
2.
Dupaigne, Louis, et al.. (2023). Sobolev’s inequality under a curvature-dimension condition. Annales de la faculté des sciences de Toulouse Mathématiques. 32(1). 125–144. 1 indexed citations
3.
Gentil, Ivan, et al.. (2018). AN ENTROPIC INTERPOLATION PROOF OF THE HWI INEQUALITY. HAL (Le Centre pour la Communication Scientifique Directe). 16 indexed citations
4.
Bakry, Dominique, et al.. (2018). Sharp Beckner-type inequalities for Cauchy and spherical distributions. HAL (Le Centre pour la Communication Scientifique Directe). 3 indexed citations
5.
Bolley, François, Ivan Gentil, & Arnaud Guillin. (2012). Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations. Journal of Functional Analysis. 263(8). 2430–2457. 58 indexed citations
6.
Gentil, Ivan, et al.. (2010). Asymptotic behaviour of reversible chemical reaction-diffusion equations. Kinetic and Related Models. 3(3). 427–444. 5 indexed citations
7.
Bolley, François & Ivan Gentil. (2010). Phi-entropy inequalities for diffusion semigroups. Journal de Mathématiques Pures et Appliquées. 93(5). 449–473. 33 indexed citations
8.
Zegarliński, Bogusław & Ivan Gentil. (2010). Asymptotic behaviour of a general reversible chemical reaction-diffusion equation. 1 indexed citations
9.
Bakry, Dominique, François Bolley, & Ivan Gentil. (2010). Around Nash inequalities. Journées Équations aux dérivées partielles. 1–16. 1 indexed citations
10.
Gentil, Ivan & Bruno Rémillard. (2008). Using systematic sampling selection for Monte Carlo solutions of Feynman-Kac equations. Advances in Applied Probability. 40(2). 454–472. 1 indexed citations
11.
Gentil, Ivan. (2008). From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality. Annales de la faculté des sciences de Toulouse Mathématiques. 17(2). 291–308. 7 indexed citations
12.
Gentil, Ivan & Bruno Rémillard. (2008). Using systematic sampling selection for Monte Carlo solutions of Feynman-Kac equations. Advances in Applied Probability. 40(2). 454–472. 1 indexed citations
13.
Dolbeault, Jean, Ivan Gentil, Arnaud Guillin, & Feng‐Yu Wang. (2007). L q -Functional Inequalities and Weighted Porous Media Equations. Potential Analysis. 28(1). 35–59. 21 indexed citations
14.
Gentil, Ivan, Arnaud Guillin, & Laurent Miclo. (2005). Modified logarithmic Sobolev inequalities and transportation inequalities. Probability Theory and Related Fields. 133(3). 409–436. 34 indexed citations
15.
Pino, Manuel del, Jean Dolbeault, & Ivan Gentil. (2004). Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality. Journal of Mathematical Analysis and Applications. 293(2). 375–388. 38 indexed citations
16.
Gentil, Ivan. (2003). The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations. Journal of Functional Analysis. 202(2). 591–599. 51 indexed citations
17.
Gentil, Ivan. (2002). Ultracontractive bounds on Hamilton–Jacobi solutions. Bulletin des Sciences Mathématiques. 126(6). 507–524. 15 indexed citations
18.
Gentil, Ivan & Florent Malrieu. (2002). Équations de Hamilton–Jacobi et inégalités entropiques généralisées. Comptes Rendus Mathématique. 335(5). 437–440. 1 indexed citations
19.
Gentil, Ivan & Cyril Roberto. (2001). Spectral Gaps for Spin Systems: Some Non-convex Phase Examples. Journal of Functional Analysis. 180(1). 66–84. 11 indexed citations
20.
Bobkov, Sergey G., Ivan Gentil, & Michel Ledoux. (2001). Hypercontractivity of Hamilton–Jacobi equations. Journal de Mathématiques Pures et Appliquées. 80(7). 669–696. 187 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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