Flavio Abdenur

451 total citations
9 papers, 249 citations indexed

About

Flavio Abdenur is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Flavio Abdenur has authored 9 papers receiving a total of 249 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Mathematical Physics, 6 papers in Geometry and Topology and 6 papers in Statistical and Nonlinear Physics. Recurrent topics in Flavio Abdenur's work include Mathematical Dynamics and Fractals (9 papers), Quantum chaos and dynamical systems (6 papers) and Advanced Differential Equations and Dynamical Systems (4 papers). Flavio Abdenur is often cited by papers focused on Mathematical Dynamics and Fractals (9 papers), Quantum chaos and dynamical systems (6 papers) and Advanced Differential Equations and Dynamical Systems (4 papers). Flavio Abdenur collaborates with scholars based in Brazil, France and China. Flavio Abdenur's co-authors include Sylvain Crovisier, Lorenzo J. Díaz, Christian Bonatti and Longping Wen and has published in prestigious journals such as Communications in Mathematical Physics, Proceedings of the American Mathematical Society and Nonlinearity.

In The Last Decade

Flavio Abdenur

9 papers receiving 229 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Flavio Abdenur Brazil	8	242	155	136	18	17	9	249
Federico Rodriguez Hertz United States	13	347 1.4×	221 1.4×	183 1.3×	17 0.9×	29 1.7×	41	359
Raúl Ures Uruguay	13	395 1.6×	287 1.9×	197 1.4×	24 1.3×	30 1.8×	26	403
Jiagang Yang Brazil	8	214 0.9×	158 1.0×	63 0.5×	15 0.8×	10 0.6×	32	218
Ali Tahzibi Brazil	10	217 0.9×	162 1.0×	87 0.6×	13 0.7×	10 0.6×	26	222
Alexander Arbieto Brazil	9	191 0.8×	114 0.7×	112 0.8×	4 0.2×	28 1.6×	38	206
Oleg Kozlovski United Kingdom	7	197 0.8×	109 0.7×	118 0.9×	3 0.2×	50 2.9×	14	210
Mário Bessa Portugal	9	219 0.9×	174 1.1×	146 1.1×	7 0.4×	27 1.6×	49	243
Boris Kalinin United States	10	178 0.7×	99 0.6×	90 0.7×	3 0.2×	7 0.4×	20	179
Anna Zdunik Poland	9	305 1.3×	100 0.6×	200 1.5×	9 0.5×	124 7.3×	32	328
Romain Dujardin France	10	229 0.9×	82 0.5×	213 1.6×	4 0.2×	89 5.2×	32	262

Countries citing papers authored by Flavio Abdenur

Since Specialization

Citations

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

Fields of papers citing papers by Flavio Abdenur

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Flavio Abdenur

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

All Works

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9 of 9 papers shown

1.

Abdenur, Flavio, et al.. (2012). Ergodic Theory of Generic Continuous Maps. Communications in Mathematical Physics. 318(3). 831–855. 4 indexed citations

2.

Abdenur, Flavio, Christian Bonatti, & Sylvain Crovisier. (2011). Nonuniform hyperbolicity for C 1-generic diffeomorphisms. Israel Journal of Mathematics. 183(1). 1–60. 73 indexed citations

3.

Abdenur, Flavio & Lorenzo J. Díaz. (2007). Pseudo-orbit shadowing in the $C^1$ topology. Discrete and Continuous Dynamical Systems. 17(2). 223–245. 39 indexed citations

4.

Abdenur, Flavio, et al.. (2006). Periodic points and homoclinic classes. Ergodic Theory and Dynamical Systems. 27(1). 1–22. 50 indexed citations

5.

Abdenur, Flavio, Christian Bonatti, & Sylvain Crovisier. (2006). Global dominated splittings and the $C^1$ Newhouse phenomenon. Proceedings of the American Mathematical Society. 134(8). 2229–2237. 7 indexed citations

6.

Abdenur, Flavio, Christian Bonatti, Sylvain Crovisier, & Lorenzo J. Díaz. (2005). Generic diffeomorphisms on compact surfaces. Fundamenta Mathematicae. 187(2). 127–159. 16 indexed citations

7.

Abdenur, Flavio, Christian Bonatti, & Lorenzo J. Díaz. (2003). Non-wandering sets with non-empty interiors. Nonlinearity. 17(1). 175–191. 16 indexed citations

8.

Abdenur, Flavio. (2003). Generic robustness of spectral decompositions. Annales Scientifiques de l École Normale Supérieure. 36(2). 213–224. 32 indexed citations

9.

Abdenur, Flavio. (2002). Attractors of generic diffeomorphisms are persistent. Nonlinearity. 16(1). 301–311. 12 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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