Marco Martens

843 total citations
29 papers, 419 citations indexed

About

Marco Martens is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computer Networks and Communications. According to data from OpenAlex, Marco Martens has authored 29 papers receiving a total of 419 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 18 papers in Statistical and Nonlinear Physics and 7 papers in Computer Networks and Communications. Recurrent topics in Marco Martens's work include Mathematical Dynamics and Fractals (17 papers), Quantum chaos and dynamical systems (13 papers) and Chaos control and synchronization (9 papers). Marco Martens is often cited by papers focused on Mathematical Dynamics and Fractals (17 papers), Quantum chaos and dynamical systems (13 papers) and Chaos control and synchronization (9 papers). Marco Martens collaborates with scholars based in United States, Brazil and Netherlands. Marco Martens's co-authors include Sebastian van Strien, W. de Melo, Welington de Melo, Edzard M. Geertsema, Mikhail Lyubich, Sense Jan van der Molen, Ben L. Feringa, Charles Tresser, J. Aarts and André de Carvalho and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Marco Martens

25 papers receiving 364 citations

Peers

Marco Martens
Pierre Gabriel France
Jin Hong South Korea
Tetsuya Hattori Japan
Weiyi Su China
Efim Zelmanov United States
Wen-Xin Qin China
Serge Troubetzkoy France
A. Boyarsky Canada
Ilya Goldsheid United Kingdom
Sergio Bermudo Spain
Pierre Gabriel France
Marco Martens
Citations per year, relative to Marco Martens Marco Martens (= 1×) peers Pierre Gabriel

Countries citing papers authored by Marco Martens

Since Specialization
Citations

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

Fields of papers citing papers by Marco Martens

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marco Martens

This figure shows the co-authorship network connecting the top 25 collaborators of Marco Martens. A scholar is included among the top collaborators of Marco Martens 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 Marco Martens. Marco Martens 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.
Martens, Marco, et al.. (2025). Instability of Renormalization. Communications in Mathematical Physics. 406(10).
2.
Martens, Marco & Tomasz Nowicki. (2018). Invariant Measures for Typical Quadratic Maps. Astérisque. 2 indexed citations
3.
Martens, Marco, et al.. (2018). Rigidity of critical circle maps. Duke Mathematical Journal. 167(11). 11 indexed citations
4.
Martens, Marco, et al.. (2017). The rigidity conjecture. Indagationes Mathematicae. 29(3). 825–830. 2 indexed citations
5.
Martens, Marco, et al.. (2016). Physical measures for infinitely renormalizable Lorenz maps. Ergodic Theory and Dynamical Systems. 38(2). 717–738. 4 indexed citations
6.
Lyubich, Mikhail, et al.. (2012). Renormalizable Hénon-like maps and unbounded geometry. Nonlinearity. 25(2). 397–420.
7.
Martens, Marco, et al.. (2011). Focal rigidity of flat tori. Anais da Academia Brasileira de Ciências. 83(4). 1149–1158. 1 indexed citations
8.
Geertsema, Edzard M., Sense Jan van der Molen, Marco Martens, & Ben L. Feringa. (2009). Optimizing rotary processes in synthetic molecular motors. Proceedings of the National Academy of Sciences. 106(40). 16919–16924. 61 indexed citations
9.
Martens, Marco, et al.. (2008). Chaotic period doubling. Ergodic Theory and Dynamical Systems. 29(2). 381–418. 4 indexed citations
10.
Kitchens, Bruce, et al.. (2005). Convex dynamics and applications. Ergodic Theory and Dynamical Systems. 25(2). 321–352. 7 indexed citations
11.
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
12.
Adler, Roy L., Bruce Kitchens, Marco Martens, Charles Tresser, & Chai Wah Wu. (2003). The mathematics of halftoning. IBM Journal of Research and Development. 47(1). 5–15. 23 indexed citations
13.
Adler, Roy L., Bruce Kitchens, Marco Martens, et al.. (2002). Error bounds for error diffusion and related digital halftoning algorithms. 2. 513–516. 7 indexed citations
14.
Martens, Marco & Tomasz Nowicki. (2001). Cycles in Newton´s means. Inventiones mathematicae. 144(2). 225–231.
15.
Adler, Roy L., Bruce Kitchens, Marco Martens, et al.. (1999). <title>Error bounds for error diffusion and other mathematical problems arising in digital halftoning</title>. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 3963. 437–443. 7 indexed citations
16.
Martens, Marco, et al.. (1997). Inducing, slopes, and conjugacy classes. Israel Journal of Mathematics. 99(1). 123–147. 4 indexed citations
17.
Martens, Marco & Charles Tresser. (1996). Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps. Proceedings of the American Mathematical Society. 124(9). 2863–2870. 6 indexed citations
18.
Martens, Marco, W. de Melo, & Sebastian van Strien. (1992). Julia-Fatou-Sullivan theory for real one-dimensional dynamics. Acta Mathematica. 168(0). 273–318. 81 indexed citations
19.
Martens, Marco, et al.. (1990). On Cherry flows. Ergodic Theory and Dynamical Systems. 10(3). 531–554. 19 indexed citations
20.
Aarts, J. & Marco Martens. (1988). Flows on one-dimensional spaces. Fundamenta Mathematicae. 131(1). 53–67. 22 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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