Hitoshi Nakada

745 total citations
47 papers, 371 citations indexed

About

Hitoshi Nakada is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Hitoshi Nakada has authored 47 papers receiving a total of 371 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Mathematical Physics, 15 papers in Geometry and Topology and 15 papers in Computational Theory and Mathematics. Recurrent topics in Hitoshi Nakada's work include Mathematical Dynamics and Fractals (41 papers), advanced mathematical theories (8 papers) and Advanced Differential Equations and Dynamical Systems (8 papers). Hitoshi Nakada is often cited by papers focused on Mathematical Dynamics and Fractals (41 papers), advanced mathematical theories (8 papers) and Advanced Differential Equations and Dynamical Systems (8 papers). Hitoshi Nakada collaborates with scholars based in Japan, Israel and Netherlands. Hitoshi Nakada's co-authors include Jon Aaronson, Shunji Ito, Cor Kraaikamp, Dong Han Kim, Omri Sarig, Mariusz Lemańczyk, Michael Fuchs, Wolfgang Steiner, Robbert Fokkink and Valérie Berthé and has published in prestigious journals such as Nonlinearity, Stochastic Processes and their Applications and Studia Mathematica.

In The Last Decade

Hitoshi Nakada

44 papers receiving 324 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hitoshi Nakada Japan 11 344 158 106 72 52 47 371
Karma Dajani Netherlands 11 369 1.1× 134 0.8× 193 1.8× 57 0.8× 35 0.7× 54 413
Harvey B. Keynes United States 15 344 1.0× 215 1.4× 136 1.3× 60 0.8× 53 1.0× 39 465
Joseph Auslander United States 10 445 1.3× 318 2.0× 104 1.0× 114 1.6× 45 0.9× 34 494
Andreas Schief Germany 6 326 0.9× 129 0.8× 95 0.9× 82 1.1× 73 1.4× 12 374
Alexander Blokh United States 15 603 1.8× 306 1.9× 97 0.9× 294 4.1× 68 1.3× 80 653
Radu Miculescu Romania 10 309 0.9× 101 0.6× 60 0.6× 83 1.2× 86 1.7× 48 402
Selim Tuncel United States 11 254 0.7× 83 0.5× 200 1.9× 64 0.9× 19 0.4× 24 325
Victor Beresnevich United Kingdom 14 557 1.6× 317 2.0× 102 1.0× 94 1.3× 174 3.3× 41 617
Dong Han Kim South Korea 9 201 0.6× 67 0.4× 63 0.6× 79 1.1× 28 0.5× 46 243
Ai Hua Fan France 8 223 0.6× 58 0.4× 35 0.3× 74 1.0× 45 0.9× 23 238

Countries citing papers authored by Hitoshi Nakada

Since Specialization
Citations

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

Fields of papers citing papers by Hitoshi Nakada

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hitoshi Nakada

This figure shows the co-authorship network connecting the top 25 collaborators of Hitoshi Nakada. A scholar is included among the top collaborators of Hitoshi Nakada 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 Hitoshi Nakada. Hitoshi Nakada 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.
Nakada, Hitoshi, et al.. (2023). On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields. Discrete and Continuous Dynamical Systems. 43(11). 3883–3924. 1 indexed citations
2.
Nakada, Hitoshi, et al.. (2021). On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields. Journal of Number Theory. 238. 106–132. 2 indexed citations
3.
Berthé, Valérie, et al.. (2014). Fine costs for Euclid's algorithm on polynomials and Farey maps. Advances in Applied Mathematics. 54. 27–65. 1 indexed citations
4.
Kim, Dong Han, et al.. (2014). Farey maps, Diophantine approximation and Bruhat–Tits tree. Finite Fields and Their Applications. 30. 14–32.
5.
Nakada, Hitoshi, et al.. (2014). On the equivalence relations ofα-continued fractions. Indagationes Mathematicae. 25(4). 800–815. 2 indexed citations
6.
Kim, Dong Han, et al.. (2012). A refined Kurzweil type theorem in positive characteristic. Finite Fields and Their Applications. 20. 64–75. 4 indexed citations
7.
Nakada, Hitoshi. (2009). On the Lenstra constant associated to the Rosen continued fractions. Journal of the European Mathematical Society. 12(1). 55–70. 13 indexed citations
8.
Luzzi, Laura, et al.. (2009). Generalized Brjuno functions associated to α-continued fractions. Journal of Approximation Theory. 162(1). 24–41. 1 indexed citations
9.
Berthé, Valérie, et al.. (2008). Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators. Finite Fields and Their Applications. 14(4). 849–866. 3 indexed citations
10.
Nakada, Hitoshi, et al.. (2007). Some ergodic properties of the negative slope algorithm. Osaka Journal of Mathematics. 44(3). 667–683. 2 indexed citations
11.
Fuchs, Michael, et al.. (2006). Invariance principles for Diophantine approximation of formal Laurent series over a finite base field. Finite Fields and Their Applications. 13(3). 535–545. 2 indexed citations
12.
Aaronson, Jon & Hitoshi Nakada. (2003). Trimmed sums for non-negative, mixing stationary processes. Stochastic Processes and their Applications. 104(2). 173–192. 12 indexed citations
13.
Nakada, Hitoshi, et al.. (2003). On metric Diophantine approximation in positive characteristic. Acta Arithmetica. 110(3). 205–218. 12 indexed citations
14.
Nakada, Hitoshi, et al.. (2002). Some metric properties of α-continued fractions. Journal of Number Theory. 97(2). 287–300. 7 indexed citations
15.
Kraaikamp, Cor & Hitoshi Nakada. (2001). On a Problem of Schweiger Concerning Normal Numbers. Journal of Number Theory. 86(2). 330–340.
16.
Kraaikamp, Cor & Hitoshi Nakada. (2000). On normal numbers for continued fractions. Ergodic Theory and Dynamical Systems. 20(5). 1405–1421. 12 indexed citations
17.
Nakada, Hitoshi. (1982). On a Family of Locally Finite Invariant Measures for a Cylinder Flow. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 31(2). 183–189. 1 indexed citations
18.
Nakada, Hitoshi. (1981). Metrical Theory for a Class of Continued Fraction Transformations and Their Natural Extensions. Tokyo Journal of Mathematics. 4(2). 90 indexed citations
19.
Nakada, Hitoshi, et al.. (1977). ON THE INVARIANT MEASURE FOR THE TRANSFORMATIONS ASSOCIATED WITH SOME REAL CONTINUED-FRACTIONS.. 30(13). 159–175. 39 indexed citations
20.
Nakada, Hitoshi. (1976). On the Kuzmin's theorem for the conplex continued fractions. 29(9). 93–108. 3 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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