André de Carvalho

422 total citations
21 papers, 194 citations indexed

About

André de Carvalho is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, André de Carvalho has authored 21 papers receiving a total of 194 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 13 papers in Geometry and Topology and 4 papers in Discrete Mathematics and Combinatorics. Recurrent topics in André de Carvalho's work include Mathematical Dynamics and Fractals (19 papers), Geometric and Algebraic Topology (9 papers) and Advanced Combinatorial Mathematics (4 papers). André de Carvalho is often cited by papers focused on Mathematical Dynamics and Fractals (19 papers), Geometric and Algebraic Topology (9 papers) and Advanced Combinatorial Mathematics (4 papers). André de Carvalho collaborates with scholars based in United States, United Kingdom and Brazil. André de Carvalho's co-authors include Toby Hall, Philip Boyland, Marco Martens, Mikhail Lyubich, Toby Hall and Ali Messaoudi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

André de Carvalho

18 papers receiving 175 citations

Peers

André de Carvalho
Cristina Flaut Romania
Francis Sergeraert France
Thierry Bousch France
Nelson G. Markley United States
Krerley Oliveira Brazil
Nikita Sidorov United Kingdom
Анатолий Михайлович Степин Russia
Fernanda Botelho United States
А. С. Тихомиров Russia
Lowell Abrams United States
Cristina Flaut Romania
André de Carvalho
Citations per year, relative to André de Carvalho André de Carvalho (= 1×) peers Cristina Flaut

Countries citing papers authored by André de Carvalho

Since Specialization
Citations

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

Fields of papers citing papers by André de Carvalho

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by André de Carvalho. 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 André de Carvalho. The network helps show where André de Carvalho may publish in the future.

Co-authorship network of co-authors of André de Carvalho

This figure shows the co-authorship network connecting the top 25 collaborators of André de Carvalho. A scholar is included among the top collaborators of André de Carvalho 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 André de Carvalho. André de Carvalho 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.
Boyland, Philip, André de Carvalho, & Toby Hall. (2024). The dynamics of measurable pseudo-Anosov maps. Fundamenta Mathematicae. 267(1). 1–24.
2.
Boyland, Philip, André de Carvalho, & Toby Hall. (2017). Natural extensions of unimodal maps: prime ends of planar embeddings and semi-conjugacy to sphere homeomorphisms. arXiv (Cornell University). 1 indexed citations
3.
Boyland, Philip, André de Carvalho, & Toby Hall. (2017). Itineraries for inverse limits of tent maps: A backward view. Topology and its Applications. 232. 1–12. 4 indexed citations
4.
Carvalho, André de, et al.. (2017). Julia sets for Fibonacci endomorphisms of ℝ2. Dynamical Systems. 33(4). 622–645. 1 indexed citations
5.
Boyland, Philip, André de Carvalho, & Toby Hall. (2016). On digit frequencies in 𝛽-expansions. Transactions of the American Mathematical Society. 368(12). 8633–8674. 3 indexed citations
6.
Boyland, Philip, André de Carvalho, & Toby Hall. (2015). New rotation sets in a family of torus homeomorphisms. Inventiones mathematicae. 204(3). 895–937. 11 indexed citations
7.
Boyland, Philip, André de Carvalho, & Toby Hall. (2014). Symbol ratio minimax sequences in the lexicographic order. Ergodic Theory and Dynamical Systems. 35(8). 2371–2396. 2 indexed citations
8.
Boyland, Philip, André de Carvalho, & Toby Hall. (2013). Inverse limits as attractors in parameterized families. Bulletin of the London Mathematical Society. 45(5). 1075–1085. 10 indexed citations
9.
Carvalho, André de & Toby Hall. (2010). Paper surfaces and dynamical limits. Proceedings of the National Academy of Sciences. 107(32). 14030–14035.
10.
Carvalho, André de & Toby Hall. (2010). Decoration invariants for horseshoe braids. Discrete and Continuous Dynamical Systems. 26(3). 863–906.
11.
Carvalho, André de, et al.. (2006). Multiclass SVM Model Selection Using Particle Swarm Optimization. 31–31. 47 indexed citations
12.
Carvalho, André de, Mikhail Lyubich, & Marco Martens. (2005). Renormalization in the Hénon Family, I: Universality But Non-Rigidity. Journal of Statistical Physics. 121(5-6). 611–669. 29 indexed citations
13.
Carvalho, André de & Toby Hall. (2004). Unimodal generalized pseudo-Anosov maps. Geometry & Topology. 8(3). 1127–1188. 7 indexed citations
14.
Carvalho, André de & Toby Hall. (2003). Braid forcing and star-shaped train tracks. Topology. 43(2). 247–287. 10 indexed citations
15.
Carvalho, André de, et al.. (2003). Monotone quotients of surface diffeomorphisms. Mathematical Research Letters. 10(5). 603–619. 3 indexed citations
16.
Carvalho, André de & Toby Hall. (2002). How to prune a horseshoe. Nonlinearity. 15(3). R19–R68. 14 indexed citations
17.
Carvalho, André de & Toby Hall. (2002). The Forcing Relation for Horseshoe Braid Types. Experimental Mathematics. 11(2). 271–288. 13 indexed citations
18.
Carvalho, André de & Toby Hall. (2001). Pruning theory and Thurston's classification of surface homeomorphisms. Journal of the European Mathematical Society. 3(4). 287–333. 7 indexed citations
19.
Carvalho, André de, et al.. (2001). PIECEWISE LINEAR MODEL FOR TREE MAPS. International Journal of Bifurcation and Chaos. 11(12). 3163–3169. 5 indexed citations
20.
Carvalho, André de. (1999). Pruning fronts and the formation of horseshoes. Ergodic Theory and Dynamical Systems. 19(4). 851–894. 24 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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