Patrick Foulon

440 total citations
22 papers, 232 citations indexed

About

Patrick Foulon is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Patrick Foulon has authored 22 papers receiving a total of 232 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Mathematical Physics, 10 papers in Applied Mathematics and 9 papers in Geometry and Topology. Recurrent topics in Patrick Foulon's work include Mathematical Dynamics and Fractals (11 papers), Geometric Analysis and Curvature Flows (9 papers) and Geometric and Algebraic Topology (6 papers). Patrick Foulon is often cited by papers focused on Mathematical Dynamics and Fractals (11 papers), Geometric Analysis and Curvature Flows (9 papers) and Geometric and Algebraic Topology (6 papers). Patrick Foulon collaborates with scholars based in France, United States and Russia. Patrick Foulon's co-authors include Yves Benoist, François Labourie, Boris Hasselblatt, Shiing-Shen Chern, Abdelghani Zeghib, Renato Feres, Инканг Ким, Vladimir S. Matveev, Sergei Ivanov and Robert L. Bryant and has published in prestigious journals such as Inventiones mathematicae, Journal of Statistical Physics and Journal of Differential Geometry.

In The Last Decade

Patrick Foulon

19 papers receiving 191 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick Foulon France	9	133	123	95	58	52	22	232
Nancy Hingston United States	6	83 0.6×	140 1.1×	119 1.3×	69 1.2×	32 0.6×	14	209
Masahiko Kanai Japan	6	150 1.1×	219 1.8×	245 2.6×	42 0.7×	30 0.6×	11	338
Leonardo Macarini Brazil	8	86 0.6×	124 1.0×	64 0.7×	17 0.3×	32 0.6×	18	153
Markus J. Pflaum United States	13	322 2.4×	204 1.7×	57 0.6×	17 0.3×	50 1.0×	37	406
Daniel V. Tausk Brazil	9	82 0.6×	125 1.0×	153 1.6×	51 0.9×	22 0.4×	29	195
Steven Hurder United States	12	448 3.4×	349 2.8×	117 1.2×	14 0.2×	107 2.1×	54	503
Alberto Candel United States	9	219 1.6×	247 2.0×	154 1.6×	9 0.2×	37 0.7×	20	319
Chaofeng Zhu China	10	194 1.5×	173 1.4×	211 2.2×	39 0.7×	108 2.1×	15	379
Pierre Molino France	8	256 1.9×	344 2.8×	278 2.9×	76 1.3×	54 1.0×	22	488
Alexey Glutsyuk France	9	99 0.7×	135 1.1×	33 0.3×	11 0.2×	121 2.3×	35	191

Countries citing papers authored by Patrick Foulon

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Foulon

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Foulon

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Foulon. A scholar is included among the top collaborators of Patrick Foulon 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 Patrick Foulon. Patrick Foulon is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Foulon, Patrick, et al.. (2021). CROISSANCE DES ORBITES PÉRIODIQUES ET COMPLEXITÉ POUR DES STRUCTURES DE CONTACT CONSTRUITES PAR CHIRURGIE. SPIRE - Sciences Po Institutional REpository. 4 indexed citations

Bryant, Robert L., Patrick Foulon, Sergei Ivanov, Vladimir S. Matveev, & Wolfgang Ziller. (2021). Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$. Journal of Differential Geometry. 117(1). 2 indexed citations

Foulon, Patrick & Инканг Ким. (2020). Continuity of the SRB entropy of convex projective structures. Ergodic Theory and Dynamical Systems. 41(8). 2369–2381.

Foulon, Patrick & Boris Hasselblatt. (2018). Godbillon–Vey invariants for maximal isotropic $C^{2}$ foliations. Advanced studies in pure mathematics. 349–365. 1 indexed citations

Foulon, Patrick, et al.. (2016). A first integral for 𝐶^{∞}, k-basic Finsler surfaces and applications to rigidity. Proceedings of the American Mathematical Society. 144(9). 3847–3858. 4 indexed citations

Foulon, Patrick, et al.. (2015). On Finsler manifolds of negative flag curvature. Journal of Topology and Analysis. 7(3). 483–504. 1 indexed citations

Foulon, Patrick & Boris Hasselblatt. (2013). Contact Anosov flows on hyperbolic 3–manifolds. Geometry & Topology. 17(2). 1225–1252. 28 indexed citations

Foulon, Patrick, et al.. (2010). Zygmund strong foliations in higher dimension. Journal of Modern Dynamics. 4(3). 549–569. 2 indexed citations

Foulon, Patrick & Boris Hasselblatt. (2010). Lipschitz continuous invariant forms for algebraic Anosov systems. Journal of Modern Dynamics. 4(3). 571–584. 1 indexed citations

10.

Feres, Renato, et al.. (2002). Rigidité, groupe fondamental et dynamique. 2 indexed citations

11.

Foulon, Patrick & Shiing-Shen Chern. (2002). CURVATURE AND GLOBAL RIGIDITY IN FINSLER MANIFOLDS. 12 indexed citations

12.

Foulon, Patrick. (1997). Locally symmetric Finsler spaces in negative curvature. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 324(10). 1127–1132. 16 indexed citations

13.

Foulon, Patrick. (1992). Estimation de l'entropie des systèmes lagrangiens sans points conjugués. French digital mathematics library (Numdam). 57(2). 117–146. 20 indexed citations

14.

Benoist, Yves, Patrick Foulon, & François Labourie. (1992). Flots d’Anosov à distributions stable et instable différentiables. Journal of the American Mathematical Society. 5(1). 33–74. 64 indexed citations

15.

Benoist, Yves, Patrick Foulon, & François Labourie. (1992). Flots d'Anosov a Distributions Stable et Instable Differentiables. Journal of the American Mathematical Society. 5(1). 33–33. 5 indexed citations

16.

Foulon, Patrick, et al.. (1992). Sur les vari�t�s compactes asymptotiquement harmoniques. Inventiones mathematicae. 109(1). 97–111. 18 indexed citations

17.

Benoist, Yves, Patrick Foulon, & François Labourie. (1989). Flots d'Anosov à distributions de Liapounov différentiables. I. French digital mathematics library (Numdam). 309(4). 255–260. 7 indexed citations

18.

Foulon, Patrick, et al.. (1987). Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians. Journal of Statistical Physics. 49(3-4). 829–840. 1 indexed citations

19.

Foulon, Patrick. (1986). Géométrie des équations différentielles du second ordre. French digital mathematics library (Numdam). 45(1). 1–28. 22 indexed citations

20.

Foulon, Patrick, et al.. (1986). Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schr�dinger equation. Journal of Statistical Physics. 45(1-2). 41–47. 5 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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