Ludovic Rifford

1.7k total citations
46 papers, 812 citations indexed

About

Ludovic Rifford is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Ludovic Rifford has authored 46 papers receiving a total of 812 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 23 papers in Geometry and Topology and 16 papers in Mathematical Physics. Recurrent topics in Ludovic Rifford's work include Geometric Analysis and Curvature Flows (22 papers), Nonlinear Partial Differential Equations (10 papers) and Mathematical Dynamics and Fractals (10 papers). Ludovic Rifford is often cited by papers focused on Geometric Analysis and Curvature Flows (22 papers), Nonlinear Partial Differential Equations (10 papers) and Mathematical Dynamics and Fractals (10 papers). Ludovic Rifford collaborates with scholars based in France, United States and Chile. Ludovic Rifford's co-authors include Alessio Figalli, Ronald J. Stern, Francis Clarke, Cédric Villani, Marc-Olivier Czarnecki, Albert Fathi, Emmanuel Trélat, Aris Daniilidis, Robert Deville and Bernard Bonnard and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Ludovic Rifford

43 papers receiving 742 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ludovic Rifford France 18 366 309 284 132 128 46 812
Andrey Sarychev Russia 13 159 0.4× 168 0.5× 114 0.4× 76 0.6× 104 0.8× 38 471
Carlo Sinestrari Italy 16 954 2.6× 211 0.7× 573 2.0× 244 1.8× 372 2.9× 42 1.3k
William M. Boothby United States 14 265 0.7× 171 0.6× 382 1.3× 146 1.1× 52 0.4× 26 645
Franco Rampazzo Italy 15 236 0.6× 482 1.6× 161 0.6× 80 0.6× 525 4.1× 50 912
Zbigniew Bartosiewicz Poland 15 236 0.6× 481 1.6× 223 0.8× 23 0.2× 105 0.8× 83 770
Pierpaolo Soravia Italy 15 198 0.5× 228 0.7× 90 0.3× 46 0.3× 291 2.3× 36 566
Alexandra Rodkina Jamaica 9 455 1.2× 323 1.0× 186 0.7× 153 1.2× 141 1.1× 36 849
Marc Q. Jacobs United States 12 207 0.6× 189 0.6× 327 1.2× 69 0.5× 231 1.8× 21 733
Otomar Hájek United States 14 155 0.4× 323 1.0× 220 0.8× 170 1.3× 111 0.9× 43 687
Massimo Furi Italy 15 488 1.3× 228 0.7× 307 1.1× 212 1.6× 391 3.1× 84 844

Countries citing papers authored by Ludovic Rifford

Since Specialization
Citations

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

Fields of papers citing papers by Ludovic Rifford

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ludovic Rifford

This figure shows the co-authorship network connecting the top 25 collaborators of Ludovic Rifford. A scholar is included among the top collaborators of Ludovic Rifford 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 Ludovic Rifford. Ludovic Rifford 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.
Daniilidis, Aris, et al.. (2017). Self-contracted curves in Riemannian manifolds. Journal of Mathematical Analysis and Applications. 457(2). 1333–1352. 7 indexed citations
2.
Figalli, Alessio, et al.. (2015). On the Convexity of Injectivity Domains on Nonfocal Manifolds. SIAM Journal on Mathematical Analysis. 47(2). 969–1000.
3.
Rifford, Ludovic. (2014). Regularity of weak KAM solutions and Mañé’s Conjecture. French digital mathematics library (Numdam). 1–22. 1 indexed citations
4.
Figalli, Alessio & Ludovic Rifford. (2014). Closing Aubry Sets II. Communications on Pure and Applied Mathematics. 68(3). 345–412. 3 indexed citations
5.
Rifford, Ludovic. (2012). Closing Geodesics in $C^1$ Topology. Journal of Differential Geometry. 91(3). 7 indexed citations
6.
Figalli, Alessio, Ludovic Rifford, & Cédric Villani. (2012). Nearly Round Spheres Look Convex. American Journal of Mathematics. 134(1). 109–139. 28 indexed citations
7.
Figalli, Alessio, Ludovic Rifford, & Cédric Villani. (2011). Tangent cut loci on surfaces. Differential Geometry and its Applications. 29(2). 154–159. 4 indexed citations
8.
Figalli, Alessio, Ludovic Rifford, & Cédric Villani. (2010). On the Ma–Trudinger–Wang curvature on surfaces. Calculus of Variations and Partial Differential Equations. 39(3-4). 307–332. 30 indexed citations
9.
Bonnard, Bernard, Jean‐Baptiste Caillau, & Ludovic Rifford. (2010). Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes Rendus Mathématique. 348(23-24). 1315–1318. 2 indexed citations
10.
Rifford, Ludovic & Emmanuel Trélat. (2009). On the stabilization problem for nonholonomic distributions. Journal of the European Mathematical Society. 11(2). 223–255. 9 indexed citations
11.
Fathi, Albert, Ludovic Rifford, & Alessio Figalli. (2008). On the Hausdorff dimension of the mather quotient. Communications on Pure and Applied Mathematics. 62(4). 445–500. 21 indexed citations
12.
Rifford, Ludovic, et al.. (2007). Semiconcavity results for optimal control problems admitting no singular minimizing controls. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 25(4). 773–802. 26 indexed citations
13.
Rifford, Ludovic. (2006). On the stabilization problem for nonholonomic distributions. 8 indexed citations
14.
Czarnecki, Marc-Olivier & Ludovic Rifford. (2006). Approximation and regularization of Lipschitz functions: Convergence of the gradients. Transactions of the American Mathematical Society. 358(10). 4467–4520. 18 indexed citations
15.
Rifford, Ludovic. (2005). On the existence of local smooth repulsive stabilizing feedbacks in dimension three. Journal of Differential Equations. 226(2). 429–500. 4 indexed citations
16.
Rifford, Ludovic. (2003). Singularities of some viscosity supersolutions and the stabilization problem in the plane. Indiana University Mathematics Journal. 52(5). 1373–1395. 12 indexed citations
17.
Clarke, Francis, Ludovic Rifford, & Ronald J. Stern. (2002). Feedback in state constrained optimal control. ESAIM Control Optimisation and Calculus of Variations. 7. 97–133. 25 indexed citations
18.
Rifford, Ludovic. (2002). Semiconcave Control-Lyapunov Functions and Stabilizing Feedbacks. SIAM Journal on Control and Optimization. 41(3). 659–681. 64 indexed citations
19.
Rifford, Ludovic. (2000). Stabilisation des systèmes globalement asymptotiquement commandables. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 330(3). 211–216. 11 indexed citations
20.
Rifford, Ludovic. (2000). Existence of Lipschitz and Semiconcave Control-Lyapunov Functions. SIAM Journal on Control and Optimization. 39(4). 1043–1064. 71 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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