Rafaël Potrie

466 total citations
27 papers, 175 citations indexed

About

Rafaël Potrie is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Rafaël Potrie has authored 27 papers receiving a total of 175 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 18 papers in Geometry and Topology and 15 papers in Statistical and Nonlinear Physics. Recurrent topics in Rafaël Potrie's work include Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (15 papers) and Geometric and Algebraic Topology (15 papers). Rafaël Potrie is often cited by papers focused on Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (15 papers) and Geometric and Algebraic Topology (15 papers). Rafaël Potrie collaborates with scholars based in Uruguay, United States and France. Rafaël Potrie's co-authors include Pablo Monzón, Andrés Sambarino, Martı́n Sambarino, Sérgio R. Fenley, Fanny Kassel, Todd Fisher, Christian Bonatti and Sylvain Crovisier and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Rafaël Potrie

22 papers receiving 155 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Rafaël Potrie Uruguay	9	132	119	71	26	24	27	175
Alexander Arbieto Brazil	9	191 1.4×	112 0.9×	114 1.6×	19 0.7×	28 1.2×	38	206
Mário Bessa Portugal	9	219 1.7×	146 1.2×	174 2.5×	17 0.7×	27 1.1×	49	243
Maria Carvalho Portugal	8	174 1.3×	66 0.6×	102 1.4×	5 0.2×	15 0.6×	28	211
Boris Kalinin United States	10	178 1.3×	90 0.8×	99 1.4×	6 0.2×	7 0.3×	20	179
Balázs Bárány Hungary	8	139 1.1×	36 0.3×	55 0.8×	4 0.2×	19 0.8×	26	159
Matthias Mayer Germany	5	82 0.6×	45 0.4×	11 0.2×	4 0.2×	35 1.5×	10	122
Piero Filipponi Italy	7	50 0.4×	29 0.2×	113 1.6×	4 0.2×	14 0.6×	34	147
Anish Ghosh India	8	130 1.0×	80 0.7×	18 0.3×		22 0.9×	29	146
Kevin G. Hare Canada	8	83 0.6×	41 0.3×	30 0.4×	3 0.1×	19 0.8×	43	170
Joyce O’Halloran United States	9	90 0.7×	180 1.5×	29 0.4×	27 1.0×	3 0.1×	19	250

Countries citing papers authored by Rafaël Potrie

Since Specialization

Citations

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

Fields of papers citing papers by Rafaël Potrie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rafaël Potrie

This figure shows the co-authorship network connecting the top 25 collaborators of Rafaël Potrie. A scholar is included among the top collaborators of Rafaël Potrie 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 Rafaël Potrie. Rafaël Potrie 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

Fenley, Sérgio R. & Rafaël Potrie. (2025). Intersection of transverse foliations in 3-manifolds: Hausdorff leaf space implies leafwise quasigeodesic. Journal für die reine und angewandte Mathematik (Crelles Journal).

Potrie, Rafaël. (2025). Anosov flows in dimension 3: an outside look. Journal of Fixed Point Theory and Applications. 27(1).

Fenley, Sérgio R. & Rafaël Potrie. (2024). Partial Hyperbolicity and Pseudo-Anosov Dynamics. Geometric and Functional Analysis. 34(2). 409–485. 2 indexed citations

Fenley, Sérgio R. & Rafaël Potrie. (2024). Accessibility and ergodicity for collapsed Anosov flows. American Journal of Mathematics. 146(5). 1339–1359. 1 indexed citations

Fenley, Sérgio R., et al.. (2024). Partially hyperbolic diffeomorphisms homotopic to the identity in dimension $3$ Part I: the dynamically coherent case. Annales Scientifiques de l École Normale Supérieure. 2 indexed citations

Fenley, Sérgio R., et al.. (2023). Collapsed Anosov flows and self orbit equivalences. Commentarii Mathematici Helvetici. 98(4). 771–875. 4 indexed citations

Fenley, Sérgio R., et al.. (2023). Partially hyperbolic diffeomorphisms homotopicto the identity in dimension 3, II : Branching foliations. Geometry & Topology. 27(8). 3095–3181. 3 indexed citations

Kassel, Fanny & Rafaël Potrie. (2022). Eigenvalue gaps for hyperbolic groups and semigroups. Journal of Modern Dynamics. 18(0). 161–208. 11 indexed citations

Fenley, Sérgio R. & Rafaël Potrie. (2022). Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds. Advances in Mathematics. 401. 108315–108315. 7 indexed citations

10.

Potrie, Rafaël. (2022). A remark on uniform expansion. Revista de la Unión Matemática Argentina. 11–21.

11.

Fenley, Sérgio R. & Rafaël Potrie. (2021). Minimality of the action on the universal circle of uniform foliations. Groups Geometry and Dynamics. 15(4). 1489–1521. 4 indexed citations

12.

Potrie, Rafaël, et al.. (2019). Classification of Systems with Center-Stable Tori. The Michigan Mathematical Journal. 68(1). 4 indexed citations

13.

Crovisier, Sylvain, Rafaël Potrie, & Martı́n Sambarino. (2017). Finiteness of partially hyperbolic attractors with one-dimensional\n center. arXiv (Cornell University). 1 indexed citations

14.

Potrie, Rafaël & Andrés Sambarino. (2017). Eigenvalues and entropy of a Hitchin representation. Inventiones mathematicae. 209(3). 885–925. 31 indexed citations

15.

Potrie, Rafaël, et al.. (2015). Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group. Journal of Topology. 8(3). 842–870. 15 indexed citations

16.

Bonatti, Christian, et al.. (2014). Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent\n examples. arXiv (Cornell University). 10 indexed citations

17.

Bonatti, Christian, et al.. (2014). Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes. Transactions of the American Mathematical Society. 366(9). 4849–4871. 1 indexed citations

18.

Fisher, Todd, Rafaël Potrie, & Martı́n Sambarino. (2014). Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov. Mathematische Zeitschrift. 278(1-2). 149–168. 16 indexed citations

19.

Potrie, Rafaël & Martı́n Sambarino. (2010). Codimension one generic homoclinic classes with interior. Bulletin of the Brazilian Mathematical Society New Series. 41(1). 125–138. 8 indexed citations

20.

Potrie, Rafaël & Pablo Monzón. (2008). Local implications of almost global stability. Dynamical Systems. 24(1). 109–115. 14 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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